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GCF of 377/516, 903/932

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 377/516, 903/932 i.e 1/120228 easily. The following is the detailed procedure to determine the greatest common factor of fractions 377/516, 903/932.

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 377/516,903/932?

Given fractions are 377/516,903/932

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 377/516,903/932, numerators are 377,903

Denominators are 516,932

The GCF of 377,903 is 1 .

LCM of 516,932 is 120228.

The greatest common factor of 377/516,903/932 = [GCF of 377,903]/[LCM of 516,932]= 1/120228

Therefore, the GCF of 377/516,903/932 is 1/120228.

Greatest Common Factor of 377,903

To find the highest common factor of 377,903, we have to find the factors of both numbers and list the highest common factor.

The factors of 377 are 1, 13, 29, 377

The factors of 903 are 1, 3, 7, 21, 43, 129, 301, 903

The HCF of 377,903 is 1.

Lets's calculate GCF of 377,903

Greatest Common Factor (GCF) of 377,903 By Common Division

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

Greatest Common Factor of 377,903 By Matching Biggest Common Factor Method

Greatest Common Factor of 377,903 By Matching Biggest Common Factor Method

Now, list down the factors of 377

:

1,13,29,377

Now, list down the factors of 903

:

1,3,7,21,43,129,301,903

Greatest Common Factor

We found the factors 377,903 . The biggest common factor number is the GCF number.
So the greatest common factor 377,903 is 1.

Lets's calculate LCM of 516,932

Lowest Common Multiple of 516,932 using Common Division

2 516, 932
2 258, 466
129, 233

∴ So the LCM of the given numbers is 2 x 2 x 129 x 233 = 120228

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/120228

Therefore, the GCF of Fractions 377/516,903/932 is 1/120228

Least Common Multiple of 516,932 with GCF Formula

Least Common Multiple of 516,932 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 516,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(516,932) = 4

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

GCF(516,932) x common factors =4 x 1 = 4

LCM(516,932) = ( 516 × 932 ) / 4

LCM(516,932) = 480912 / 4

LCM(516,932) = 120228


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FAQs on GCF of Fractions of 377/516, 903/932

1. What is the HCF of 377,903?

The HCF of 377,903 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 377/516, 903/932?

Answer: GCF of Numerators as per given numbers 377/516, 903/932 is

GCF of Numerators i.e. for 377,903 is 1

LCM of denominators i.e. for 516,932 is 120228.

Thus, GCF of Fractions is 1/120228.Finally, GCF of Fractions for 377/516, 903/932 is 1/120228.