Greatest Common Factor of 689/59, 752/732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 689/59, 752/732

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 689/59,752/732

Given fractions are 689/59,752/732

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 689,752

Greatest Common Factor of Numerators i.e. GCF of 689,752 is 1 .

LCM of Denominators means LCM of 59,732 as per the given fractions.

LCM of 59,732 is 43188 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 689,752

GCF of Fractions 689/59,752/732 is 1/43188

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

Greatest Common Factor of 689,752 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,752 By Matching Biggest Common Factor Method

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Greatest Common Factor

We found the factors 689,752 . The biggest common factor number is the GCF number.
So the greatest common factor 689,752 is 1.

Lets's calculate LCM of 59,732

Given numbers has no common factors except 1. So, there LCM is their product i.e 43188

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43188

Therefore, the GCF of Fractions 689/59,752/732 is 1/43188

Least Common Multiple of 59,732 with GCF Formula

Least Common Multiple of 59,732 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 59,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,732) = 1

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

GCF(59,732) x common factors =1 x 1 = 1

LCM(59,732) = ( 59 × 732 ) / 1

LCM(59,732) = 43188 / 1

LCM(59,732) = 43188


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 689/59, 752/732

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 689/59, 752/732?

Answer: GCF of Numerators as per given numbers 689/59, 752/732 is

GCF of Numerators i.e. for 689,752 is 1

LCM of denominators i.e. for 59,732 is 43188.

Thus, GCF of Fractions is 1/43188.Finally, GCF of Fractions for 689/59, 752/732 is 1/43188.