Greatest Common Factor of 753/875, 1684/989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 753/875, 1684/989

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 753/875,1684/989

Given fractions are 753/875,1684/989

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 753,1684

Greatest Common Factor of Numerators i.e. GCF of 753,1684 is 1 .

LCM of Denominators means LCM of 875,989 as per the given fractions.

LCM of 875,989 is 865375 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 753,1684

GCF of Fractions 753/875,1684/989 is 1/865375

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

Greatest Common Factor of 753,1684 By Matching Biggest Common Factor Method

Greatest Common Factor of 753,1684 By Matching Biggest Common Factor Method

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Factors of 1684

List of positive integer factors of 1684 that divides 1684 without a remainder.

1,2,4,421,842,1684

Greatest Common Factor

We found the factors 753,1684 . The biggest common factor number is the GCF number.
So the greatest common factor 753,1684 is 1.

Lets's calculate LCM of 875,989

Given numbers has no common factors except 1. So, there LCM is their product i.e 865375

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/865375

Therefore, the GCF of Fractions 753/875,1684/989 is 1/865375

Least Common Multiple of 875,989 with GCF Formula

Least Common Multiple of 875,989 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 875,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(875,989) = 1

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

GCF(875,989) x common factors =1 x 1 = 1

LCM(875,989) = ( 875 × 989 ) / 1

LCM(875,989) = 865375 / 1

LCM(875,989) = 865375


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 753/875, 1684/989

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 753/875, 1684/989?

Answer: GCF of Numerators as per given numbers 753/875, 1684/989 is

GCF of Numerators i.e. for 753,1684 is 1

LCM of denominators i.e. for 875,989 is 865375.

Thus, GCF of Fractions is 1/865375.Finally, GCF of Fractions for 753/875, 1684/989 is 1/865375.