Greatest Common Factor of 862/72, 407/63, 211/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 862/72, 407/63, 211/378

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 862/72,407/63,211/378

Given fractions are 862/72,407/63,211/378

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 862,407,211

Greatest Common Factor of Numerators i.e. GCF of 862,407,211 is 1 .

LCM of Denominators means LCM of 72,63,378 as per the given fractions.

LCM of 72,63,378 is 1512 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 862,407,211

GCF of Fractions 862/72,407/63,211/378 is 1/1512

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

Greatest Common Factor of 862,407,211 By Matching Biggest Common Factor Method

Greatest Common Factor of 862,407,211 By Matching Biggest Common Factor Method

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Greatest Common Factor

We found the factors 862,407,211 . The biggest common factor number is the GCF number.
So the greatest common factor 862,407,211 is 1.

Lets's calculate LCM of 72,63,378

2 72, 63, 378
3 36, 63, 189
3 12, 21, 63
7 4, 7, 21
4, 1, 3

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 4 x 1 x 3 = 1512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1512

Therefore, the GCF of Fractions 862/72,407/63,211/378 is 1/1512

Least Common Multiple of 72,63,378 with GCF Formula

Least Common Multiple of 72,63,378 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 72,63,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,63,378) = 9

common factors(in case of two or more numbers have common factors) = 126

GCF(72,63,378) x common factors =9 x 126 = 1134

LCM(72,63,378) = ( 72 × 63 × 378 ) / 1134

LCM(72,63,378) = 1714608 / 1134

LCM(72,63,378) = 1512


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 862/72, 407/63, 211/378

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 862/72, 407/63, 211/378?

Answer: GCF of Numerators as per given numbers 862/72, 407/63, 211/378 is

GCF of Numerators i.e. for 862,407,211 is 1

LCM of denominators i.e. for 72,63,378 is 1512.

Thus, GCF of Fractions is 1/1512.Finally, GCF of Fractions for 862/72, 407/63, 211/378 is 1/1512.