Greatest Common Factor of 220/596, 9741/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 220/596, 9741/766

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 220/596,9741/766

Given fractions are 220/596,9741/766

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 220,9741

Greatest Common Factor of Numerators i.e. GCF of 220,9741 is 1 .

LCM of Denominators means LCM of 596,766 as per the given fractions.

LCM of 596,766 is 228268 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 220,9741

GCF of Fractions 220/596,9741/766 is 1/228268

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

Greatest Common Factor of 220,9741 By Matching Biggest Common Factor Method

Greatest Common Factor of 220,9741 By Matching Biggest Common Factor Method

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 9741

List of positive integer factors of 9741 that divides 9741 without a remainder.

1,3,17,51,191,573,3247,9741

Greatest Common Factor

We found the factors 220,9741 . The biggest common factor number is the GCF number.
So the greatest common factor 220,9741 is 1.

Lets's calculate LCM of 596,766

2 596, 766
298, 383

∴ So the LCM of the given numbers is 2 x 298 x 383 = 228268

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/228268

Therefore, the GCF of Fractions 220/596,9741/766 is 1/228268

Least Common Multiple of 596,766 with GCF Formula

Least Common Multiple of 596,766 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 596,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(596,766) = 2

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

GCF(596,766) x common factors =2 x 1 = 2

LCM(596,766) = ( 596 × 766 ) / 2

LCM(596,766) = 456536 / 2

LCM(596,766) = 228268


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 220/596, 9741/766

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 220/596, 9741/766?

Answer: GCF of Numerators as per given numbers 220/596, 9741/766 is

GCF of Numerators i.e. for 220,9741 is 1

LCM of denominators i.e. for 596,766 is 228268.

Thus, GCF of Fractions is 1/228268.Finally, GCF of Fractions for 220/596, 9741/766 is 1/228268.