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GCF of 974/26, 487/638

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 974/26, 487/638 i.e 487/8294 easily. The following is the detailed procedure to determine the greatest common factor of fractions 974/26, 487/638.

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 974/26,487/638?

Given fractions are 974/26,487/638

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 974/26,487/638, numerators are 974,487

Denominators are 26,638

The GCF of 974,487 is 487 .

LCM of 26,638 is 8294.

The greatest common factor of 974/26,487/638 = [GCF of 974,487]/[LCM of 26,638]= 487/8294

Therefore, the GCF of 974/26,487/638 is 487/8294.

Greatest Common Factor of 974,487

To find the highest common factor of 974,487, we have to find the factors of both numbers and list the highest common factor.

The factors of 974 are 1, 2, 487, 974

The factors of 487 are 1, 487

The HCF of 974,487 is 487.

Lets's calculate GCF of 974,487

Greatest Common Factor (GCF) of 974,487 By Common Division

487 974, 487
2, 1

∴ So the GCF of the given numbers is 487 = 487

Greatest Common Factor of 974,487 By Matching Biggest Common Factor Method

Greatest Common Factor of 974,487 By Matching Biggest Common Factor Method

Now, list down the factors of 974

:

1,2,487,974

Now, list down the factors of 487

:

1,487

Greatest Common Factor

We found the factors 974,487 . The biggest common factor number is the GCF number.
So the greatest common factor 974,487 is 487.

Lets's calculate LCM of 26,638

Lowest Common Multiple of 26,638 using Common Division

2 26, 638
13, 319

∴ So the LCM of the given numbers is 2 x 13 x 319 = 8294

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 487/8294

Therefore, the GCF of Fractions 974/26,487/638 is 487/8294

Least Common Multiple of 26,638 with GCF Formula

Least Common Multiple of 26,638 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 26,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,638) = 2

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

GCF(26,638) x common factors =2 x 1 = 2

LCM(26,638) = ( 26 × 638 ) / 2

LCM(26,638) = 16588 / 2

LCM(26,638) = 8294


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FAQs on GCF of Fractions of 974/26, 487/638

1. What is the HCF of 974,487?

The HCF of 974,487 is 487

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 974/26, 487/638?

Answer: GCF of Numerators as per given numbers 974/26, 487/638 is

GCF of Numerators i.e. for 974,487 is 487

LCM of denominators i.e. for 26,638 is 8294.

Thus, GCF of Fractions is 487/8294.Finally, GCF of Fractions for 974/26, 487/638 is 487/8294.