Greatest Common Factor of 8947/577, 1748/718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8947/577, 1748/718

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 8947/577,1748/718

Given fractions are 8947/577,1748/718

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 8947,1748

Greatest Common Factor of Numerators i.e. GCF of 8947,1748 is 23 .

LCM of Denominators means LCM of 577,718 as per the given fractions.

LCM of 577,718 is 414286 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8947,1748

GCF of Fractions 8947/577,1748/718 is 23/414286

23 8947, 1748
389, 76

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 8947,1748 By Matching Biggest Common Factor Method

Greatest Common Factor of 8947,1748 By Matching Biggest Common Factor Method

Factors of 8947

List of positive integer factors of 8947 that divides 8947 without a remainder.

1,23,389,8947

Factors of 1748

List of positive integer factors of 1748 that divides 1748 without a remainder.

1,2,4,19,23,38,46,76,92,437,874,1748

Greatest Common Factor

We found the factors 8947,1748 . The biggest common factor number is the GCF number.
So the greatest common factor 8947,1748 is 23.

Lets's calculate LCM of 577,718

Given numbers has no common factors except 1. So, there LCM is their product i.e 414286

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/414286

Therefore, the GCF of Fractions 8947/577,1748/718 is 23/414286

Least Common Multiple of 577,718 with GCF Formula

Least Common Multiple of 577,718 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 577,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(577,718) = 1

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

GCF(577,718) x common factors =1 x 1 = 1

LCM(577,718) = ( 577 × 718 ) / 1

LCM(577,718) = 414286 / 1

LCM(577,718) = 414286


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 8947/577, 1748/718

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 8947/577, 1748/718?

Answer: GCF of Numerators as per given numbers 8947/577, 1748/718 is

GCF of Numerators i.e. for 8947,1748 is 23

LCM of denominators i.e. for 577,718 is 414286.

Thus, GCF of Fractions is 23/414286.Finally, GCF of Fractions for 8947/577, 1748/718 is 23/414286.