Greatest Common Factor of 1252/965, 2158/1922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1252/965, 2158/1922

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 1252/965,2158/1922

Given fractions are 1252/965,2158/1922

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 1252,2158

Greatest Common Factor of Numerators i.e. GCF of 1252,2158 is 2 .

LCM of Denominators means LCM of 965,1922 as per the given fractions.

LCM of 965,1922 is 1854730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1252,2158

GCF of Fractions 1252/965,2158/1922 is 2/1854730

2 1252, 2158
626, 1079

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

Greatest Common Factor of 1252,2158 By Matching Biggest Common Factor Method

Greatest Common Factor of 1252,2158 By Matching Biggest Common Factor Method

Factors of 1252

List of positive integer factors of 1252 that divides 1252 without a remainder.

1,2,4,313,626,1252

Factors of 2158

List of positive integer factors of 2158 that divides 2158 without a remainder.

1,2,13,26,83,166,1079,2158

Greatest Common Factor

We found the factors 1252,2158 . The biggest common factor number is the GCF number.
So the greatest common factor 1252,2158 is 2.

Lets's calculate LCM of 965,1922

Given numbers has no common factors except 1. So, there LCM is their product i.e 1854730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1854730

Therefore, the GCF of Fractions 1252/965,2158/1922 is 2/1854730

Least Common Multiple of 965,1922 with GCF Formula

Least Common Multiple of 965,1922 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 965,1922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(965,1922) = 1

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

GCF(965,1922) x common factors =1 x 1 = 1

LCM(965,1922) = ( 965 × 1922 ) / 1

LCM(965,1922) = 1854730 / 1

LCM(965,1922) = 1854730


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 1252/965, 2158/1922

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 1252/965, 2158/1922?

Answer: GCF of Numerators as per given numbers 1252/965, 2158/1922 is

GCF of Numerators i.e. for 1252,2158 is 2

LCM of denominators i.e. for 965,1922 is 1854730.

Thus, GCF of Fractions is 2/1854730.Finally, GCF of Fractions for 1252/965, 2158/1922 is 2/1854730.