Greatest Common Factor of 5705/157, 8945/7711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5705/157, 8945/7711

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 5705/157,8945/7711

Given fractions are 5705/157,8945/7711

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 5705,8945

Greatest Common Factor of Numerators i.e. GCF of 5705,8945 is 5 .

LCM of Denominators means LCM of 157,7711 as per the given fractions.

LCM of 157,7711 is 1210627 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5705,8945

GCF of Fractions 5705/157,8945/7711 is 5/1210627

5 5705, 8945
1141, 1789

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 5705,8945 By Matching Biggest Common Factor Method

Greatest Common Factor of 5705,8945 By Matching Biggest Common Factor Method

Factors of 5705

List of positive integer factors of 5705 that divides 5705 without a remainder.

1,5,7,35,163,815,1141,5705

Factors of 8945

List of positive integer factors of 8945 that divides 8945 without a remainder.

1,5,1789,8945

Greatest Common Factor

We found the factors 5705,8945 . The biggest common factor number is the GCF number.
So the greatest common factor 5705,8945 is 5.

Lets's calculate LCM of 157,7711

Given numbers has no common factors except 1. So, there LCM is their product i.e 1210627

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1210627

Therefore, the GCF of Fractions 5705/157,8945/7711 is 5/1210627

Least Common Multiple of 157,7711 with GCF Formula

Least Common Multiple of 157,7711 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 157,7711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(157,7711) = 1

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

GCF(157,7711) x common factors =1 x 1 = 1

LCM(157,7711) = ( 157 × 7711 ) / 1

LCM(157,7711) = 1210627 / 1

LCM(157,7711) = 1210627


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 5705/157, 8945/7711

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 5705/157, 8945/7711?

Answer: GCF of Numerators as per given numbers 5705/157, 8945/7711 is

GCF of Numerators i.e. for 5705,8945 is 5

LCM of denominators i.e. for 157,7711 is 1210627.

Thus, GCF of Fractions is 5/1210627.Finally, GCF of Fractions for 5705/157, 8945/7711 is 5/1210627.