Greatest Common Factor of 95/865, 475/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 95/865, 475/308

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 95/865,475/308

Given fractions are 95/865,475/308

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 95,475

Greatest Common Factor of Numerators i.e. GCF of 95,475 is 95 .

LCM of Denominators means LCM of 865,308 as per the given fractions.

LCM of 865,308 is 266420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 95,475

GCF of Fractions 95/865,475/308 is 95/266420

5 95, 475
19 19, 95
1, 5

∴ So the GCF of the given numbers is 5 x 19 = 95

Greatest Common Factor of 95,475 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,475 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 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Greatest Common Factor

We found the factors 95,475 . The biggest common factor number is the GCF number.
So the greatest common factor 95,475 is 95.

Lets's calculate LCM of 865,308

Given numbers has no common factors except 1. So, there LCM is their product i.e 266420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 95/266420

Therefore, the GCF of Fractions 95/865,475/308 is 95/266420

Least Common Multiple of 865,308 with GCF Formula

Least Common Multiple of 865,308 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 865,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(865,308) = 1

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

GCF(865,308) x common factors =1 x 1 = 1

LCM(865,308) = ( 865 × 308 ) / 1

LCM(865,308) = 266420 / 1

LCM(865,308) = 266420


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 95/865, 475/308

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 95/865, 475/308?

Answer: GCF of Numerators as per given numbers 95/865, 475/308 is

GCF of Numerators i.e. for 95,475 is 95

LCM of denominators i.e. for 865,308 is 266420.

Thus, GCF of Fractions is 95/266420.Finally, GCF of Fractions for 95/865, 475/308 is 95/266420.