Greatest Common Factor of 124/709, 922/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 124/709, 922/505

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 124/709,922/505

Given fractions are 124/709,922/505

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 124,922

Greatest Common Factor of Numerators i.e. GCF of 124,922 is 2 .

LCM of Denominators means LCM of 709,505 as per the given fractions.

LCM of 709,505 is 358045 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 124,922

GCF of Fractions 124/709,922/505 is 2/358045

2 124, 922
62, 461

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 124,922 By Matching Biggest Common Factor Method

Greatest Common Factor of 124,922 By Matching Biggest Common Factor Method

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Greatest Common Factor

We found the factors 124,922 . The biggest common factor number is the GCF number.
So the greatest common factor 124,922 is 2.

Lets's calculate LCM of 709,505

Given numbers has no common factors except 1. So, there LCM is their product i.e 358045

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/358045

Therefore, the GCF of Fractions 124/709,922/505 is 2/358045

Least Common Multiple of 709,505 with GCF Formula

Least Common Multiple of 709,505 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 709,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(709,505) = 1

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

GCF(709,505) x common factors =1 x 1 = 1

LCM(709,505) = ( 709 × 505 ) / 1

LCM(709,505) = 358045 / 1

LCM(709,505) = 358045


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 124/709, 922/505

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 124/709, 922/505?

Answer: GCF of Numerators as per given numbers 124/709, 922/505 is

GCF of Numerators i.e. for 124,922 is 2

LCM of denominators i.e. for 709,505 is 358045.

Thus, GCF of Fractions is 2/358045.Finally, GCF of Fractions for 124/709, 922/505 is 2/358045.