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The HCF of two consecutive even numbers is
- a)1
- b)2
- c)0
- d)3
Correct answer is 'B'. Can you explain this answer?
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Verified Answer
The HCF of two consecutive even numbers isa)1b)2c)0d)3Correct answer i...
Let's take two consecutive even numbers i.e, 2x and 2x+2.
Method 1 : Factorisation
Now factor both numbers
2 * x and 2 * (x+1). Therefore, the only common factor we get here is one and only 2, which turns out to be HCF itself.
Hence, HCF of two even consecutive number is 2.
Example take 10 and 12 or 4 and 6 HCF always turns out to be 2 as
10=2*5 and 12=2*6
Method 2:
If we calculate through simple division process. Let's say two consecutive even numbers are n and n+2.
If n+2 is divided by n, we get the remainder as 2.
And n is divisible by 2 as it is an even number.
Hence, HCF is 2.
Most Upvoted Answer
The HCF of two consecutive even numbers isa)1b)2c)0d)3Correct answer i...
The HCF of two consecutive even number is always 2 bcoz both the numbers will be divisible by 2. So their HCF will also be 2 bcoz HCF means Highest Common Factor.......
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The HCF of two consecutive even numbers isa)1b)2c)0d)3Correct answer i...
The HCF of two consecutive even numbers is 2.
Answer:-
Take any 2 consecutive even numbers, One factor of each will be 2 & the other factor of both will be 2 cosecutive natural numbers.. , in which one will be odd . like..
2=2x1
4=2x2
6=2x3
8=2x4
32=2x16
34=2x17
36=2x18
Since 2 consecutive natural numbers have no common factor except 1
So, HCF of 2 even consecutive numbers =2
Answer:-
Take any 2 consecutive even numbers, One factor of each will be 2 & the other factor of both will be 2 cosecutive natural numbers.. , in which one will be odd . like..
2=2x1
4=2x2
6=2x3
8=2x4
32=2x16
34=2x17
36=2x18
Since 2 consecutive natural numbers have no common factor except 1
So, HCF of 2 even consecutive numbers =2
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The HCF of two consecutive even numbers isa)1b)2c)0d)3Correct answer is 'B'. Can you explain this answer?
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The HCF of two consecutive even numbers isa)1b)2c)0d)3Correct answer is 'B'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The HCF of two consecutive even numbers isa)1b)2c)0d)3Correct answer is 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The HCF of two consecutive even numbers isa)1b)2c)0d)3Correct answer is 'B'. Can you explain this answer?.
The HCF of two consecutive even numbers isa)1b)2c)0d)3Correct answer is 'B'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The HCF of two consecutive even numbers isa)1b)2c)0d)3Correct answer is 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The HCF of two consecutive even numbers isa)1b)2c)0d)3Correct answer is 'B'. Can you explain this answer?.
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