Greatest Common Factor of 475/53, 918/64, 692/212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 475/53, 918/64, 692/212

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 475/53,918/64,692/212

Given fractions are 475/53,918/64,692/212

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 475,918,692

Greatest Common Factor of Numerators i.e. GCF of 475,918,692 is 1 .

LCM of Denominators means LCM of 53,64,212 as per the given fractions.

LCM of 53,64,212 is 3392 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 475,918,692

GCF of Fractions 475/53,918/64,692/212 is 1/3392

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

Greatest Common Factor of 475,918,692 By Matching Biggest Common Factor Method

Greatest Common Factor of 475,918,692 By Matching Biggest Common Factor Method

Factors of 475

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

1,5,19,25,95,475

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Greatest Common Factor

We found the factors 475,918,692 . The biggest common factor number is the GCF number.
So the greatest common factor 475,918,692 is 1.

Lets's calculate LCM of 53,64,212

2 53, 64, 212
2 53, 32, 106
53 53, 16, 53
1, 16, 1

∴ So the LCM of the given numbers is 2 x 2 x 53 x 1 x 16 x 1 = 3392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3392

Therefore, the GCF of Fractions 475/53,918/64,692/212 is 1/3392

Least Common Multiple of 53,64,212 with GCF Formula

Least Common Multiple of 53,64,212 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 53,64,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,64,212) = 1

common factors(in case of two or more numbers have common factors) = 212

GCF(53,64,212) x common factors =1 x 212 = 212

LCM(53,64,212) = ( 53 × 64 × 212 ) / 212

LCM(53,64,212) = 719104 / 212

LCM(53,64,212) = 3392


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 475/53, 918/64, 692/212

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 475/53, 918/64, 692/212?

Answer: GCF of Numerators as per given numbers 475/53, 918/64, 692/212 is

GCF of Numerators i.e. for 475,918,692 is 1

LCM of denominators i.e. for 53,64,212 is 3392.

Thus, GCF of Fractions is 1/3392.Finally, GCF of Fractions for 475/53, 918/64, 692/212 is 1/3392.