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GCF of 9679/846, 2504/508

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 9679/846, 2504/508 i.e 1/214884 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9679/846, 2504/508.

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 9679/846,2504/508?

Given fractions are 9679/846,2504/508

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 9679/846,2504/508, numerators are 9679,2504

Denominators are 846,508

The GCF of 9679,2504 is 1 .

LCM of 846,508 is 214884.

The greatest common factor of 9679/846,2504/508 = [GCF of 9679,2504]/[LCM of 846,508]= 1/214884

Therefore, the GCF of 9679/846,2504/508 is 1/214884.

Greatest Common Factor of 9679,2504

To find the highest common factor of 9679,2504, we have to find the factors of both numbers and list the highest common factor.

The factors of 9679 are 1, 9679

The factors of 2504 are 1, 2, 4, 8, 313, 626, 1252, 2504

The HCF of 9679,2504 is 1.

Lets's calculate GCF of 9679,2504

Greatest Common Factor (GCF) of 9679,2504 By Common Division

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

Greatest Common Factor of 9679,2504 By Matching Biggest Common Factor Method

Greatest Common Factor of 9679,2504 By Matching Biggest Common Factor Method

Now, list down the factors of 9679

:

1,9679

Now, list down the factors of 2504

:

1,2,4,8,313,626,1252,2504

Greatest Common Factor

We found the factors 9679,2504 . The biggest common factor number is the GCF number.
So the greatest common factor 9679,2504 is 1.

Lets's calculate LCM of 846,508

Lowest Common Multiple of 846,508 using Common Division

2 846, 508
423, 254

∴ So the LCM of the given numbers is 2 x 423 x 254 = 214884

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/214884

Therefore, the GCF of Fractions 9679/846,2504/508 is 1/214884

Least Common Multiple of 846,508 with GCF Formula

Least Common Multiple of 846,508 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 846,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(846,508) = 2

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

GCF(846,508) x common factors =2 x 1 = 2

LCM(846,508) = ( 846 × 508 ) / 2

LCM(846,508) = 429768 / 2

LCM(846,508) = 214884


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9679/846, 2504/508

1. What is the HCF of 9679,2504?

The HCF of 9679,2504 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 9679/846, 2504/508?

Answer: GCF of Numerators as per given numbers 9679/846, 2504/508 is

GCF of Numerators i.e. for 9679,2504 is 1

LCM of denominators i.e. for 846,508 is 214884.

Thus, GCF of Fractions is 1/214884.Finally, GCF of Fractions for 9679/846, 2504/508 is 1/214884.