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GCF of 527/244, 123/508

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 527/244, 123/508 i.e 1/30988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 527/244, 123/508.

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 527/244,123/508?

Given fractions are 527/244,123/508

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 527/244,123/508, numerators are 527,123

Denominators are 244,508

The GCF of 527,123 is 1 .

LCM of 244,508 is 30988.

The greatest common factor of 527/244,123/508 = [GCF of 527,123]/[LCM of 244,508]= 1/30988

Therefore, the GCF of 527/244,123/508 is 1/30988.

Greatest Common Factor of 527,123

To find the highest common factor of 527,123, we have to find the factors of both numbers and list the highest common factor.

The factors of 527 are 1, 17, 31, 527

The factors of 123 are 1, 3, 41, 123

The HCF of 527,123 is 1.

Lets's calculate GCF of 527,123

Greatest Common Factor (GCF) of 527,123 By Common Division

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

Greatest Common Factor of 527,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 527,123 By Matching Biggest Common Factor Method

Now, list down the factors of 527

:

1,17,31,527

Now, list down the factors of 123

:

1,3,41,123

Greatest Common Factor

We found the factors 527,123 . The biggest common factor number is the GCF number.
So the greatest common factor 527,123 is 1.

Lets's calculate LCM of 244,508

Lowest Common Multiple of 244,508 using Common Division

2 244, 508
2 122, 254
61, 127

∴ So the LCM of the given numbers is 2 x 2 x 61 x 127 = 30988

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30988

Therefore, the GCF of Fractions 527/244,123/508 is 1/30988

Least Common Multiple of 244,508 with GCF Formula

Least Common Multiple of 244,508 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 244,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(244,508) = 4

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

GCF(244,508) x common factors =4 x 1 = 4

LCM(244,508) = ( 244 × 508 ) / 4

LCM(244,508) = 123952 / 4

LCM(244,508) = 30988


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FAQs on GCF of Fractions of 527/244, 123/508

1. What is the HCF of 527,123?

The HCF of 527,123 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 527/244, 123/508?

Answer: GCF of Numerators as per given numbers 527/244, 123/508 is

GCF of Numerators i.e. for 527,123 is 1

LCM of denominators i.e. for 244,508 is 30988.

Thus, GCF of Fractions is 1/30988.Finally, GCF of Fractions for 527/244, 123/508 is 1/30988.