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GCF of 658/926, 8521/6204

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 658/926, 8521/6204 i.e 1/2872452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 658/926, 8521/6204.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 658/926,8521/6204?

Given fractions are 658/926,8521/6204

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 658/926,8521/6204, numerators are 658,8521

Denominators are 926,6204

The GCF of 658,8521 is 1 .

LCM of 926,6204 is 2872452.

The greatest common factor of 658/926,8521/6204 = [GCF of 658,8521]/[LCM of 926,6204]= 1/2872452

Therefore, the GCF of 658/926,8521/6204 is 1/2872452.

Greatest Common Factor of 658,8521

To find the highest common factor of 658,8521, we have to find the factors of both numbers and list the highest common factor.

The factors of 658 are 1, 2, 7, 14, 47, 94, 329, 658

The factors of 8521 are 1, 8521

The HCF of 658,8521 is 1.

Lets's calculate GCF of 658,8521

Greatest Common Factor (GCF) of 658,8521 By Common Division

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

Greatest Common Factor of 658,8521 By Matching Biggest Common Factor Method

Greatest Common Factor of 658,8521 By Matching Biggest Common Factor Method

Now, list down the factors of 658

:

1,2,7,14,47,94,329,658

Now, list down the factors of 8521

:

1,8521

Greatest Common Factor

We found the factors 658,8521 . The biggest common factor number is the GCF number.
So the greatest common factor 658,8521 is 1.

Lets's calculate LCM of 926,6204

Lowest Common Multiple of 926,6204 using Common Division

2 926, 6204
463, 3102

∴ So the LCM of the given numbers is 2 x 463 x 3102 = 2872452

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2872452

Therefore, the GCF of Fractions 658/926,8521/6204 is 1/2872452

Least Common Multiple of 926,6204 with GCF Formula

Least Common Multiple of 926,6204 with GCF Formula

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

We need to calculate greatest common factor of 926,6204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(926,6204) = 2

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

GCF(926,6204) x common factors =2 x 1 = 2

LCM(926,6204) = ( 926 × 6204 ) / 2

LCM(926,6204) = 5744904 / 2

LCM(926,6204) = 2872452


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 658/926, 8521/6204

1. What is the HCF of 658,8521?

The HCF of 658,8521 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 658/926, 8521/6204?

Answer: GCF of Numerators as per given numbers 658/926, 8521/6204 is

GCF of Numerators i.e. for 658,8521 is 1

LCM of denominators i.e. for 926,6204 is 2872452.

Thus, GCF of Fractions is 1/2872452.Finally, GCF of Fractions for 658/926, 8521/6204 is 1/2872452.