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GCF of 522/20, 127/787

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 522/20, 127/787 i.e 1/15740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 522/20, 127/787.

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 522/20,127/787?

Given fractions are 522/20,127/787

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 522/20,127/787, numerators are 522,127

Denominators are 20,787

The GCF of 522,127 is 1 .

LCM of 20,787 is 15740.

The greatest common factor of 522/20,127/787 = [GCF of 522,127]/[LCM of 20,787]= 1/15740

Therefore, the GCF of 522/20,127/787 is 1/15740.

Greatest Common Factor of 522,127

To find the highest common factor of 522,127, we have to find the factors of both numbers and list the highest common factor.

The factors of 522 are 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

The factors of 127 are 1, 127

The HCF of 522,127 is 1.

Lets's calculate GCF of 522,127

Greatest Common Factor (GCF) of 522,127 By Common Division

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

Greatest Common Factor of 522,127 By Matching Biggest Common Factor Method

Greatest Common Factor of 522,127 By Matching Biggest Common Factor Method

Now, list down the factors of 522

:

1,2,3,6,9,18,29,58,87,174,261,522

Now, list down the factors of 127

:

1,127

Greatest Common Factor

We found the factors 522,127 . The biggest common factor number is the GCF number.
So the greatest common factor 522,127 is 1.

Lets's calculate LCM of 20,787

Lowest Common Multiple of 20,787 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 15740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15740

Therefore, the GCF of Fractions 522/20,127/787 is 1/15740

Least Common Multiple of 20,787 with GCF Formula

Least Common Multiple of 20,787 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 20,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,787) = 1

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

GCF(20,787) x common factors =1 x 1 = 1

LCM(20,787) = ( 20 × 787 ) / 1

LCM(20,787) = 15740 / 1

LCM(20,787) = 15740


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FAQs on GCF of Fractions of 522/20, 127/787

1. What is the HCF of 522,127?

The HCF of 522,127 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 522/20, 127/787?

Answer: GCF of Numerators as per given numbers 522/20, 127/787 is

GCF of Numerators i.e. for 522,127 is 1

LCM of denominators i.e. for 20,787 is 15740.

Thus, GCF of Fractions is 1/15740.Finally, GCF of Fractions for 522/20, 127/787 is 1/15740.