Greatest Common Factor of 3/766, 57/270, 49/475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/766, 57/270, 49/475

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 3/766,57/270,49/475

Given fractions are 3/766,57/270,49/475

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 3,57,49

Greatest Common Factor of Numerators i.e. GCF of 3,57,49 is 1 .

LCM of Denominators means LCM of 766,270,475 as per the given fractions.

LCM of 766,270,475 is 9823950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,57,49

GCF of Fractions 3/766,57/270,49/475 is 1/9823950

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

Greatest Common Factor of 3,57,49 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,57,49 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Greatest Common Factor

We found the factors 3,57,49 . The biggest common factor number is the GCF number.
So the greatest common factor 3,57,49 is 1.

Lets's calculate LCM of 766,270,475

2 766, 270, 475
5 383, 135, 475
383, 27, 95

∴ So the LCM of the given numbers is 2 x 5 x 383 x 27 x 95 = 9823950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9823950

Therefore, the GCF of Fractions 3/766,57/270,49/475 is 1/9823950

Least Common Multiple of 766,270,475 with GCF Formula

Least Common Multiple of 766,270,475 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 766,270,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,270,475) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(766,270,475) x common factors =1 x 10 = 10

LCM(766,270,475) = ( 766 × 270 × 475 ) / 10

LCM(766,270,475) = 98239500 / 10

LCM(766,270,475) = 9823950


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 3/766, 57/270, 49/475

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 3/766, 57/270, 49/475?

Answer: GCF of Numerators as per given numbers 3/766, 57/270, 49/475 is

GCF of Numerators i.e. for 3,57,49 is 1

LCM of denominators i.e. for 766,270,475 is 9823950.

Thus, GCF of Fractions is 1/9823950.Finally, GCF of Fractions for 3/766, 57/270, 49/475 is 1/9823950.