Greatest Common Factor of 952/630, 209/165, 527/347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 952/630, 209/165, 527/347

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 952/630,209/165,527/347

Given fractions are 952/630,209/165,527/347

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 952,209,527

Greatest Common Factor of Numerators i.e. GCF of 952,209,527 is 1 .

LCM of Denominators means LCM of 630,165,347 as per the given fractions.

LCM of 630,165,347 is 2404710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 952,209,527

GCF of Fractions 952/630,209/165,527/347 is 1/2404710

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

Greatest Common Factor of 952,209,527 By Matching Biggest Common Factor Method

Greatest Common Factor of 952,209,527 By Matching Biggest Common Factor Method

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

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Greatest Common Factor

We found the factors 952,209,527 . The biggest common factor number is the GCF number.
So the greatest common factor 952,209,527 is 1.


Lets's calculate LCM of 630,165,347

3 630, 165, 347
5 210, 55, 347
42, 11, 347

∴ So the LCM of the given numbers is 3 x 5 x 42 x 11 x 347 = 2404710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2404710

Therefore, the GCF of Fractions 952/630,209/165,527/347 is 1/2404710

Least Common Multiple of 630,165,347 with GCF Formula

Least Common Multiple of 630,165,347 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 630,165,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(630,165,347) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(630,165,347) x common factors =1 x 15 = 15

LCM(630,165,347) = ( 630 × 165 × 347 ) / 15

LCM(630,165,347) = 36070650 / 15

LCM(630,165,347) = 2404710


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 952/630, 209/165, 527/347

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 952/630, 209/165, 527/347?

Answer: GCF of Numerators as per given numbers 952/630, 209/165, 527/347 is

GCF of Numerators i.e. for 952,209,527 is 1

LCM of denominators i.e. for 630,165,347 is 2404710.

Thus, GCF of Fractions is 1/2404710.Finally, GCF of Fractions for 952/630, 209/165, 527/347 is 1/2404710.