Greatest Common Factor of 471/895, 960/997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 471/895, 960/997

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 471/895,960/997

Given fractions are 471/895,960/997

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 471,960

Greatest Common Factor of Numerators i.e. GCF of 471,960 is 3 .

LCM of Denominators means LCM of 895,997 as per the given fractions.

LCM of 895,997 is 892315 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 471,960

GCF of Fractions 471/895,960/997 is 3/892315

3 471, 960
157, 320

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 471,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 471,960 By Matching Biggest Common Factor Method

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 471,960 . The biggest common factor number is the GCF number.
So the greatest common factor 471,960 is 3.

Lets's calculate LCM of 895,997

Given numbers has no common factors except 1. So, there LCM is their product i.e 892315

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/892315

Therefore, the GCF of Fractions 471/895,960/997 is 3/892315

Least Common Multiple of 895,997 with GCF Formula

Least Common Multiple of 895,997 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 895,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(895,997) = 1

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

GCF(895,997) x common factors =1 x 1 = 1

LCM(895,997) = ( 895 × 997 ) / 1

LCM(895,997) = 892315 / 1

LCM(895,997) = 892315


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 471/895, 960/997

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 471/895, 960/997?

Answer: GCF of Numerators as per given numbers 471/895, 960/997 is

GCF of Numerators i.e. for 471,960 is 3

LCM of denominators i.e. for 895,997 is 892315.

Thus, GCF of Fractions is 3/892315.Finally, GCF of Fractions for 471/895, 960/997 is 3/892315.