Greatest Common Factor of 4655/679, 6422/1880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4655/679, 6422/1880

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 4655/679,6422/1880

Given fractions are 4655/679,6422/1880

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 4655,6422

Greatest Common Factor of Numerators i.e. GCF of 4655,6422 is 19 .

LCM of Denominators means LCM of 679,1880 as per the given fractions.

LCM of 679,1880 is 1276520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4655,6422

GCF of Fractions 4655/679,6422/1880 is 19/1276520

19 4655, 6422
245, 338

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 4655,6422 By Matching Biggest Common Factor Method

Greatest Common Factor of 4655,6422 By Matching Biggest Common Factor Method

Factors of 4655

List of positive integer factors of 4655 that divides 4655 without a remainder.

1,5,7,19,35,49,95,133,245,665,931,4655

Factors of 6422

List of positive integer factors of 6422 that divides 6422 without a remainder.

1,2,13,19,26,38,169,247,338,494,3211,6422

Greatest Common Factor

We found the factors 4655,6422 . The biggest common factor number is the GCF number.
So the greatest common factor 4655,6422 is 19.

Lets's calculate LCM of 679,1880

Given numbers has no common factors except 1. So, there LCM is their product i.e 1276520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/1276520

Therefore, the GCF of Fractions 4655/679,6422/1880 is 19/1276520

Least Common Multiple of 679,1880 with GCF Formula

Least Common Multiple of 679,1880 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 679,1880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(679,1880) = 1

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

GCF(679,1880) x common factors =1 x 1 = 1

LCM(679,1880) = ( 679 × 1880 ) / 1

LCM(679,1880) = 1276520 / 1

LCM(679,1880) = 1276520


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 4655/679, 6422/1880

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 4655/679, 6422/1880?

Answer: GCF of Numerators as per given numbers 4655/679, 6422/1880 is

GCF of Numerators i.e. for 4655,6422 is 19

LCM of denominators i.e. for 679,1880 is 1276520.

Thus, GCF of Fractions is 19/1276520.Finally, GCF of Fractions for 4655/679, 6422/1880 is 19/1276520.