Greatest Common Factor of 381/61, 109/63, 952/611

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 381/61, 109/63, 952/611

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 381/61,109/63,952/611

Given fractions are 381/61,109/63,952/611

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 381,109,952

Greatest Common Factor of Numerators i.e. GCF of 381,109,952 is 1 .

LCM of Denominators means LCM of 61,63,611 as per the given fractions.

LCM of 61,63,611 is 2348073 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 381,109,952

GCF of Fractions 381/61,109/63,952/611 is 1/2348073

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

Greatest Common Factor of 381,109,952 By Matching Biggest Common Factor Method

Greatest Common Factor of 381,109,952 By Matching Biggest Common Factor Method

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Greatest Common Factor

We found the factors 381,109,952 . The biggest common factor number is the GCF number.
So the greatest common factor 381,109,952 is 1.

Lets's calculate LCM of 61,63,611

Given numbers has no common factors except 1. So, there LCM is their product i.e 2348073

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2348073

Therefore, the GCF of Fractions 381/61,109/63,952/611 is 1/2348073

Least Common Multiple of 61,63,611 with GCF Formula

Least Common Multiple of 61,63,611 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 61,63,611 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,63,611) = 1

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

GCF(61,63,611) x common factors =1 x 1 = 1

LCM(61,63,611) = ( 61 × 63 × 611 ) / 1

LCM(61,63,611) = 2348073 / 1

LCM(61,63,611) = 2348073


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 381/61, 109/63, 952/611

1. 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.

2. What is the GCF of Fractions for 381/61, 109/63, 952/611?

Answer: GCF of Numerators as per given numbers 381/61, 109/63, 952/611 is

GCF of Numerators i.e. for 381,109,952 is 1

LCM of denominators i.e. for 61,63,611 is 2348073.

Thus, GCF of Fractions is 1/2348073.Finally, GCF of Fractions for 381/61, 109/63, 952/611 is 1/2348073.