Greatest Common Factor of 379/47, 624/866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 379/47, 624/866

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 379/47,624/866

Given fractions are 379/47,624/866

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 379,624

Greatest Common Factor of Numerators i.e. GCF of 379,624 is 1 .

LCM of Denominators means LCM of 47,866 as per the given fractions.

LCM of 47,866 is 40702 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 379,624

GCF of Fractions 379/47,624/866 is 1/40702

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

Greatest Common Factor of 379,624 By Matching Biggest Common Factor Method

Greatest Common Factor of 379,624 By Matching Biggest Common Factor Method

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Greatest Common Factor

We found the factors 379,624 . The biggest common factor number is the GCF number.
So the greatest common factor 379,624 is 1.

Lets's calculate LCM of 47,866

Given numbers has no common factors except 1. So, there LCM is their product i.e 40702

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40702

Therefore, the GCF of Fractions 379/47,624/866 is 1/40702

Least Common Multiple of 47,866 with GCF Formula

Least Common Multiple of 47,866 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 47,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,866) = 1

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

GCF(47,866) x common factors =1 x 1 = 1

LCM(47,866) = ( 47 × 866 ) / 1

LCM(47,866) = 40702 / 1

LCM(47,866) = 40702


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 379/47, 624/866

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 379/47, 624/866?

Answer: GCF of Numerators as per given numbers 379/47, 624/866 is

GCF of Numerators i.e. for 379,624 is 1

LCM of denominators i.e. for 47,866 is 40702.

Thus, GCF of Fractions is 1/40702.Finally, GCF of Fractions for 379/47, 624/866 is 1/40702.