Greatest Common Factor of 5786/658, 2787/7990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5786/658, 2787/7990

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 5786/658,2787/7990

Given fractions are 5786/658,2787/7990

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 5786,2787

Greatest Common Factor of Numerators i.e. GCF of 5786,2787 is 1 .

LCM of Denominators means LCM of 658,7990 as per the given fractions.

LCM of 658,7990 is 55930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5786,2787

GCF of Fractions 5786/658,2787/7990 is 1/55930

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

Greatest Common Factor of 5786,2787 By Matching Biggest Common Factor Method

Greatest Common Factor of 5786,2787 By Matching Biggest Common Factor Method

Factors of 5786

List of positive integer factors of 5786 that divides 5786 without a remainder.

1,2,11,22,263,526,2893,5786

Factors of 2787

List of positive integer factors of 2787 that divides 2787 without a remainder.

1,3,929,2787

Greatest Common Factor

We found the factors 5786,2787 . The biggest common factor number is the GCF number.
So the greatest common factor 5786,2787 is 1.

Lets's calculate LCM of 658,7990

2 658, 7990
47 329, 3995
7, 85

∴ So the LCM of the given numbers is 2 x 47 x 7 x 85 = 55930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55930

Therefore, the GCF of Fractions 5786/658,2787/7990 is 1/55930

Least Common Multiple of 658,7990 with GCF Formula

Least Common Multiple of 658,7990 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 658,7990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(658,7990) = 94

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

GCF(658,7990) x common factors =94 x 1 = 94

LCM(658,7990) = ( 658 × 7990 ) / 94

LCM(658,7990) = 5257420 / 94

LCM(658,7990) = 55930


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 5786/658, 2787/7990

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 5786/658, 2787/7990?

Answer: GCF of Numerators as per given numbers 5786/658, 2787/7990 is

GCF of Numerators i.e. for 5786,2787 is 1

LCM of denominators i.e. for 658,7990 is 55930.

Thus, GCF of Fractions is 1/55930.Finally, GCF of Fractions for 5786/658, 2787/7990 is 1/55930.