Greatest Common Factor of 95/535, 51/732, 229/265

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 95/535, 51/732, 229/265

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 95/535,51/732,229/265

Given fractions are 95/535,51/732,229/265

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 95,51,229

Greatest Common Factor of Numerators i.e. GCF of 95,51,229 is 1 .

LCM of Denominators means LCM of 535,732,265 as per the given fractions.

LCM of 535,732,265 is 20755860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 95,51,229

GCF of Fractions 95/535,51/732,229/265 is 1/20755860

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

Greatest Common Factor of 95,51,229 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,51,229 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1,229

Greatest Common Factor

We found the factors 95,51,229 . The biggest common factor number is the GCF number.
So the greatest common factor 95,51,229 is 1.

Lets's calculate LCM of 535,732,265

5 535, 732, 265
107, 732, 53

∴ So the LCM of the given numbers is 5 x 107 x 732 x 53 = 20755860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20755860

Therefore, the GCF of Fractions 95/535,51/732,229/265 is 1/20755860

Least Common Multiple of 535,732,265 with GCF Formula

Least Common Multiple of 535,732,265 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 535,732,265 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(535,732,265) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(535,732,265) x common factors =1 x 5 = 5

LCM(535,732,265) = ( 535 × 732 × 265 ) / 5

LCM(535,732,265) = 103779300 / 5

LCM(535,732,265) = 20755860


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 95/535, 51/732, 229/265

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 95/535, 51/732, 229/265?

Answer: GCF of Numerators as per given numbers 95/535, 51/732, 229/265 is

GCF of Numerators i.e. for 95,51,229 is 1

LCM of denominators i.e. for 535,732,265 is 20755860.

Thus, GCF of Fractions is 1/20755860.Finally, GCF of Fractions for 95/535, 51/732, 229/265 is 1/20755860.