Greatest Common Factor of 152/45, 2440/922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 152/45, 2440/922

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 152/45,2440/922

Given fractions are 152/45,2440/922

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 152,2440

Greatest Common Factor of Numerators i.e. GCF of 152,2440 is 8 .

LCM of Denominators means LCM of 45,922 as per the given fractions.

LCM of 45,922 is 41490 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 152,2440

GCF of Fractions 152/45,2440/922 is 8/41490

2 152, 2440
2 76, 1220
2 38, 610
19, 305

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 152,2440 By Matching Biggest Common Factor Method

Greatest Common Factor of 152,2440 By Matching Biggest Common Factor Method

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 2440

List of positive integer factors of 2440 that divides 2440 without a remainder.

1,2,4,5,8,10,20,40,61,122,244,305,488,610,1220,2440

Greatest Common Factor

We found the factors 152,2440 . The biggest common factor number is the GCF number.
So the greatest common factor 152,2440 is 8.

Lets's calculate LCM of 45,922

Given numbers has no common factors except 1. So, there LCM is their product i.e 41490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/41490

Therefore, the GCF of Fractions 152/45,2440/922 is 8/41490

Least Common Multiple of 45,922 with GCF Formula

Least Common Multiple of 45,922 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 45,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,922) = 1

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

GCF(45,922) x common factors =1 x 1 = 1

LCM(45,922) = ( 45 × 922 ) / 1

LCM(45,922) = 41490 / 1

LCM(45,922) = 41490


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 152/45, 2440/922

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 152/45, 2440/922?

Answer: GCF of Numerators as per given numbers 152/45, 2440/922 is

GCF of Numerators i.e. for 152,2440 is 8

LCM of denominators i.e. for 45,922 is 41490.

Thus, GCF of Fractions is 8/41490.Finally, GCF of Fractions for 152/45, 2440/922 is 8/41490.