Greatest Common Factor of 1162/269, 1295/419

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1162/269, 1295/419

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 1162/269,1295/419

Given fractions are 1162/269,1295/419

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 1162,1295

Greatest Common Factor of Numerators i.e. GCF of 1162,1295 is 7 .

LCM of Denominators means LCM of 269,419 as per the given fractions.

LCM of 269,419 is 112711 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1162,1295

GCF of Fractions 1162/269,1295/419 is 7/112711

7 1162, 1295
166, 185

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 1162,1295 By Matching Biggest Common Factor Method

Greatest Common Factor of 1162,1295 By Matching Biggest Common Factor Method

Factors of 1162

List of positive integer factors of 1162 that divides 1162 without a remainder.

1,2,7,14,83,166,581,1162

Factors of 1295

List of positive integer factors of 1295 that divides 1295 without a remainder.

1,5,7,35,37,185,259,1295

Greatest Common Factor

We found the factors 1162,1295 . The biggest common factor number is the GCF number.
So the greatest common factor 1162,1295 is 7.

Lets's calculate LCM of 269,419

Given numbers has no common factors except 1. So, there LCM is their product i.e 112711

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/112711

Therefore, the GCF of Fractions 1162/269,1295/419 is 7/112711

Least Common Multiple of 269,419 with GCF Formula

Least Common Multiple of 269,419 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 269,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(269,419) = 1

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

GCF(269,419) x common factors =1 x 1 = 1

LCM(269,419) = ( 269 × 419 ) / 1

LCM(269,419) = 112711 / 1

LCM(269,419) = 112711


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 1162/269, 1295/419

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 1162/269, 1295/419?

Answer: GCF of Numerators as per given numbers 1162/269, 1295/419 is

GCF of Numerators i.e. for 1162,1295 is 7

LCM of denominators i.e. for 269,419 is 112711.

Thus, GCF of Fractions is 7/112711.Finally, GCF of Fractions for 1162/269, 1295/419 is 7/112711.