Greatest Common Factor of 8969/70, 1132/346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8969/70, 1132/346

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 8969/70,1132/346

Given fractions are 8969/70,1132/346

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 8969,1132

Greatest Common Factor of Numerators i.e. GCF of 8969,1132 is 1 .

LCM of Denominators means LCM of 70,346 as per the given fractions.

LCM of 70,346 is 12110 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8969,1132

GCF of Fractions 8969/70,1132/346 is 1/12110

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8969,1132 By Matching Biggest Common Factor Method

Greatest Common Factor of 8969,1132 By Matching Biggest Common Factor Method

Factors of 8969

List of positive integer factors of 8969 that divides 8969 without a remainder.

1,8969

Factors of 1132

List of positive integer factors of 1132 that divides 1132 without a remainder.

1,2,4,283,566,1132

Greatest Common Factor

We found the factors 8969,1132 . The biggest common factor number is the GCF number.
So the greatest common factor 8969,1132 is 1.

Lets's calculate LCM of 70,346

2 70, 346
35, 173

∴ So the LCM of the given numbers is 2 x 35 x 173 = 12110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12110

Therefore, the GCF of Fractions 8969/70,1132/346 is 1/12110

Least Common Multiple of 70,346 with GCF Formula

Least Common Multiple of 70,346 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 70,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,346) = 2

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

GCF(70,346) x common factors =2 x 1 = 2

LCM(70,346) = ( 70 × 346 ) / 2

LCM(70,346) = 24220 / 2

LCM(70,346) = 12110


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 8969/70, 1132/346

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 8969/70, 1132/346?

Answer: GCF of Numerators as per given numbers 8969/70, 1132/346 is

GCF of Numerators i.e. for 8969,1132 is 1

LCM of denominators i.e. for 70,346 is 12110.

Thus, GCF of Fractions is 1/12110.Finally, GCF of Fractions for 8969/70, 1132/346 is 1/12110.