Question

write the HCF of two consecutive 1) odd number 2) even number

Answer 1

Question :- write the HCF of two consecutive 1) odd number 2) even number ?

Solution :-

• Odd Numbers :- Not Divisible by 2.
• Even Numbers = Divisible by 2 .
• HCF = The greatest number that is a factor of two (or more) other numbers.

1) HCF of 2 consecutive odd Numbers :-

Lets take Example .

Ex :- consecutive odd numbers are 3 and 5 .

→ 3 = 3 * 1

→ 5 = 5 * 1

As, we can see , Only common factor between 3 and 5 is 1 .

Ex :- consecutive odd numbers are 33 and 35 .

→ 33 = 3 * 11 * 1

→ 35 = 5 * 7 * 1

Again, Only common factor between 33 and 35 is 1 .

Hence, we can conclude that, HCF of two consecutive Odd Numbers will always Equal to 1.

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Now,

2) HCF of 2 consecutive Even Numbers :-

Lets take Example .

Ex :- consecutive Even numbers are 8 and 10 .

→ 8 = 2 * 2 * 2

→ 10 = 2 * 5

As, we can see , Only common factor between 8 and 10 is 2 .

Ex :- consecutive odd numbers are 96 and 98 .

→ 96 = 2 * 2 * 2 * 2 * 2 * 3

→ 98 = 2 * 7 * 7

Again, Only common factor between 96 and 98 is 2. .

Hence, we can conclude that, HCF of two consecutive Even Numbers will always Equal to 2.

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