Greatest Common Factor of 95/380, 22/284, 274/410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 95/380, 22/284, 274/410

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 95/380,22/284,274/410

Given fractions are 95/380,22/284,274/410

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 95,22,274

Greatest Common Factor of Numerators i.e. GCF of 95,22,274 is 1 .

LCM of Denominators means LCM of 380,284,410 as per the given fractions.

LCM of 380,284,410 is 1106180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 95,22,274

GCF of Fractions 95/380,22/284,274/410 is 1/1106180

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

Greatest Common Factor of 95,22,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,22,274 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 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Greatest Common Factor

We found the factors 95,22,274 . The biggest common factor number is the GCF number.
So the greatest common factor 95,22,274 is 1.

Lets's calculate LCM of 380,284,410

2 380, 284, 410
2 190, 142, 205
5 95, 71, 205
19, 71, 41

∴ So the LCM of the given numbers is 2 x 2 x 5 x 19 x 71 x 41 = 1106180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1106180

Therefore, the GCF of Fractions 95/380,22/284,274/410 is 1/1106180

Least Common Multiple of 380,284,410 with GCF Formula

Least Common Multiple of 380,284,410 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 380,284,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,284,410) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(380,284,410) x common factors =2 x 20 = 40

LCM(380,284,410) = ( 380 × 284 × 410 ) / 40

LCM(380,284,410) = 44247200 / 40

LCM(380,284,410) = 1106180


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 95/380, 22/284, 274/410

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 95/380, 22/284, 274/410?

Answer: GCF of Numerators as per given numbers 95/380, 22/284, 274/410 is

GCF of Numerators i.e. for 95,22,274 is 1

LCM of denominators i.e. for 380,284,410 is 1106180.

Thus, GCF of Fractions is 1/1106180.Finally, GCF of Fractions for 95/380, 22/284, 274/410 is 1/1106180.