Greatest Common Factor of 5786/793, 6952/310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5786/793, 6952/310

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 5786/793,6952/310

Given fractions are 5786/793,6952/310

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 5786,6952

Greatest Common Factor of Numerators i.e. GCF of 5786,6952 is 22 .

LCM of Denominators means LCM of 793,310 as per the given fractions.

LCM of 793,310 is 245830 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5786,6952

GCF of Fractions 5786/793,6952/310 is 22/245830

2 5786, 6952
11 2893, 3476
263, 316

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 5786,6952 By Matching Biggest Common Factor Method

Greatest Common Factor of 5786,6952 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 6952

List of positive integer factors of 6952 that divides 6952 without a remainder.

1,2,4,8,11,22,44,79,88,158,316,632,869,1738,3476,6952

Greatest Common Factor

We found the factors 5786,6952 . The biggest common factor number is the GCF number.
So the greatest common factor 5786,6952 is 22.

Lets's calculate LCM of 793,310

Given numbers has no common factors except 1. So, there LCM is their product i.e 245830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/245830

Therefore, the GCF of Fractions 5786/793,6952/310 is 22/245830

Least Common Multiple of 793,310 with GCF Formula

Least Common Multiple of 793,310 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 793,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(793,310) = 1

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

GCF(793,310) x common factors =1 x 1 = 1

LCM(793,310) = ( 793 × 310 ) / 1

LCM(793,310) = 245830 / 1

LCM(793,310) = 245830


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 5786/793, 6952/310

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 5786/793, 6952/310?

Answer: GCF of Numerators as per given numbers 5786/793, 6952/310 is

GCF of Numerators i.e. for 5786,6952 is 22

LCM of denominators i.e. for 793,310 is 245830.

Thus, GCF of Fractions is 22/245830.Finally, GCF of Fractions for 5786/793, 6952/310 is 22/245830.