How to Find GCF of 2647/564, 8524/1962?

GCF of 2647/564, 8524/1962

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 2647/564, 8524/1962 i.e 1/184428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2647/564, 8524/1962.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 2647/564,8524/1962?

Given fractions are 2647/564,8524/1962

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 2647/564,8524/1962, numerators are 2647,8524

Denominators are 564,1962

The GCF of 2647,8524 is 1 .

LCM of 564,1962 is 184428.

The greatest common factor of 2647/564,8524/1962 = [GCF of 2647,8524]/[LCM of 564,1962]= 1/184428

Therefore, the GCF of 2647/564,8524/1962 is 1/184428.

Greatest Common Factor of 2647,8524

To find the highest common factor of 2647,8524, we have to find the factors of both numbers and list the highest common factor.

The factors of 2647 are 1, 2647

The factors of 8524 are 1, 2, 4, 2131, 4262, 8524

The HCF of 2647,8524 is 1.

Lets's calculate GCF of 2647,8524

Greatest Common Factor (GCF) of 2647,8524 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2647,8524 By Matching Biggest Common Factor Method

Now, list down the factors of 2647

1,2647

Now, list down the factors of 8524

1,2,4,2131,4262,8524

Greatest Common Factor

We found the factors 2647,8524 . The biggest common factor number is the GCF number.
So the greatest common factor 2647,8524 is 1.

Lets's calculate LCM of 564,1962

Lowest Common Multiple of 564,1962 using Common Division

2	564, 1962
3	282, 981
	94, 327

∴ So the LCM of the given numbers is 2 x 3 x 94 x 327 = 184428

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/184428

Therefore, the GCF of Fractions 2647/564,8524/1962 is 1/184428

Least Common Multiple of 564,1962 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 564,1962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,1962) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(564,1962) x common factors =6 x 1 = 6

LCM(564,1962) = ( 564 × 1962 ) / 6

LCM(564,1962) = 1106568 / 6

LCM(564,1962) = 184428

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FAQs on GCF of Fractions of 2647/564, 8524/1962

1. What is the HCF of 2647,8524?

The HCF of 2647,8524 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 2647/564, 8524/1962?

Answer: GCF of Numerators as per given numbers 2647/564, 8524/1962 is

GCF of Numerators i.e. for 2647,8524 is 1

LCM of denominators i.e. for 564,1962 is 184428.

Thus, GCF of Fractions is 1/184428.Finally, GCF of Fractions for 2647/564, 8524/1962 is 1/184428.