Greatest Common Factor of 120/42, 122/827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 120/42, 122/827

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 120/42,122/827

Given fractions are 120/42,122/827

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 120,122

Greatest Common Factor of Numerators i.e. GCF of 120,122 is 2 .

LCM of Denominators means LCM of 42,827 as per the given fractions.

LCM of 42,827 is 34734 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 120,122

GCF of Fractions 120/42,122/827 is 2/34734

2 120, 122
60, 61

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

Greatest Common Factor of 120,122 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,122 By Matching Biggest Common Factor Method

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Greatest Common Factor

We found the factors 120,122 . The biggest common factor number is the GCF number.
So the greatest common factor 120,122 is 2.

Lets's calculate LCM of 42,827

Given numbers has no common factors except 1. So, there LCM is their product i.e 34734

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/34734

Therefore, the GCF of Fractions 120/42,122/827 is 2/34734

Least Common Multiple of 42,827 with GCF Formula

Least Common Multiple of 42,827 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 42,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,827) = 1

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

GCF(42,827) x common factors =1 x 1 = 1

LCM(42,827) = ( 42 × 827 ) / 1

LCM(42,827) = 34734 / 1

LCM(42,827) = 34734


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 120/42, 122/827

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 120/42, 122/827?

Answer: GCF of Numerators as per given numbers 120/42, 122/827 is

GCF of Numerators i.e. for 120,122 is 2

LCM of denominators i.e. for 42,827 is 34734.

Thus, GCF of Fractions is 2/34734.Finally, GCF of Fractions for 120/42, 122/827 is 2/34734.