Greatest Common Factor of 689/31, 578/2508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 689/31, 578/2508

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 689/31,578/2508

Given fractions are 689/31,578/2508

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 689,578

Greatest Common Factor of Numerators i.e. GCF of 689,578 is 1 .

LCM of Denominators means LCM of 31,2508 as per the given fractions.

LCM of 31,2508 is 77748 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 689,578

GCF of Fractions 689/31,578/2508 is 1/77748

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

Greatest Common Factor of 689,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,578 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 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 689,578 . The biggest common factor number is the GCF number.
So the greatest common factor 689,578 is 1.

Lets's calculate LCM of 31,2508

Given numbers has no common factors except 1. So, there LCM is their product i.e 77748

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77748

Therefore, the GCF of Fractions 689/31,578/2508 is 1/77748

Least Common Multiple of 31,2508 with GCF Formula

Least Common Multiple of 31,2508 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 31,2508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,2508) = 1

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

GCF(31,2508) x common factors =1 x 1 = 1

LCM(31,2508) = ( 31 × 2508 ) / 1

LCM(31,2508) = 77748 / 1

LCM(31,2508) = 77748


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 689/31, 578/2508

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 689/31, 578/2508?

Answer: GCF of Numerators as per given numbers 689/31, 578/2508 is

GCF of Numerators i.e. for 689,578 is 1

LCM of denominators i.e. for 31,2508 is 77748.

Thus, GCF of Fractions is 1/77748.Finally, GCF of Fractions for 689/31, 578/2508 is 1/77748.