How to Find GCF of 8647/232, 7675/5514?

GCF of 8647/232, 7675/5514

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 8647/232, 7675/5514 i.e 1/639624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8647/232, 7675/5514.

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 8647/232,7675/5514?

Given fractions are 8647/232,7675/5514

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 8647/232,7675/5514, numerators are 8647,7675

Denominators are 232,5514

The GCF of 8647,7675 is 1 .

LCM of 232,5514 is 639624.

The greatest common factor of 8647/232,7675/5514 = [GCF of 8647,7675]/[LCM of 232,5514]= 1/639624

Therefore, the GCF of 8647/232,7675/5514 is 1/639624.

Greatest Common Factor of 8647,7675

To find the highest common factor of 8647,7675, we have to find the factors of both numbers and list the highest common factor.

The factors of 8647 are 1, 8647

The factors of 7675 are 1, 5, 25, 307, 1535, 7675

The HCF of 8647,7675 is 1.

Lets's calculate GCF of 8647,7675

Greatest Common Factor (GCF) of 8647,7675 By Common Division

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

Greatest Common Factor of 8647,7675 By Matching Biggest Common Factor Method

Now, list down the factors of 8647

1,8647

Now, list down the factors of 7675

1,5,25,307,1535,7675

Greatest Common Factor

We found the factors 8647,7675 . The biggest common factor number is the GCF number.
So the greatest common factor 8647,7675 is 1.

Lets's calculate LCM of 232,5514

Lowest Common Multiple of 232,5514 using Common Division

2	232, 5514
	116, 2757

∴ So the LCM of the given numbers is 2 x 116 x 2757 = 639624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/639624

Therefore, the GCF of Fractions 8647/232,7675/5514 is 1/639624

Least Common Multiple of 232,5514 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 232,5514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(232,5514) = 2

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

GCF(232,5514) x common factors =2 x 1 = 2

LCM(232,5514) = ( 232 × 5514 ) / 2

LCM(232,5514) = 1279248 / 2

LCM(232,5514) = 639624

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FAQs on GCF of Fractions of 8647/232, 7675/5514

1. What is the HCF of 8647,7675?

The HCF of 8647,7675 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 8647/232, 7675/5514?

Answer: GCF of Numerators as per given numbers 8647/232, 7675/5514 is

GCF of Numerators i.e. for 8647,7675 is 1

LCM of denominators i.e. for 232,5514 is 639624.

Thus, GCF of Fractions is 1/639624.Finally, GCF of Fractions for 8647/232, 7675/5514 is 1/639624.