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GCF of 521/950, 313/872

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 521/950, 313/872 i.e 1/414200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 521/950, 313/872.

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 521/950,313/872?

Given fractions are 521/950,313/872

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 521/950,313/872, numerators are 521,313

Denominators are 950,872

The GCF of 521,313 is 1 .

LCM of 950,872 is 414200.

The greatest common factor of 521/950,313/872 = [GCF of 521,313]/[LCM of 950,872]= 1/414200

Therefore, the GCF of 521/950,313/872 is 1/414200.

Greatest Common Factor of 521,313

To find the highest common factor of 521,313, we have to find the factors of both numbers and list the highest common factor.

The factors of 521 are 1, 521

The factors of 313 are 1, 313

The HCF of 521,313 is 1.

Lets's calculate GCF of 521,313

Greatest Common Factor (GCF) of 521,313 By Common Division

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

Greatest Common Factor of 521,313 By Matching Biggest Common Factor Method

Greatest Common Factor of 521,313 By Matching Biggest Common Factor Method

Now, list down the factors of 521

:

1,521

Now, list down the factors of 313

:

1,313

Greatest Common Factor

We found the factors 521,313 . The biggest common factor number is the GCF number.
So the greatest common factor 521,313 is 1.

Lets's calculate LCM of 950,872

Lowest Common Multiple of 950,872 using Common Division

2 950, 872
475, 436

∴ So the LCM of the given numbers is 2 x 475 x 436 = 414200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/414200

Therefore, the GCF of Fractions 521/950,313/872 is 1/414200

Least Common Multiple of 950,872 with GCF Formula

Least Common Multiple of 950,872 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 950,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(950,872) = 2

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

GCF(950,872) x common factors =2 x 1 = 2

LCM(950,872) = ( 950 × 872 ) / 2

LCM(950,872) = 828400 / 2

LCM(950,872) = 414200


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FAQs on GCF of Fractions of 521/950, 313/872

1. What is the HCF of 521,313?

The HCF of 521,313 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 521/950, 313/872?

Answer: GCF of Numerators as per given numbers 521/950, 313/872 is

GCF of Numerators i.e. for 521,313 is 1

LCM of denominators i.e. for 950,872 is 414200.

Thus, GCF of Fractions is 1/414200.Finally, GCF of Fractions for 521/950, 313/872 is 1/414200.