Greatest Common Factor of 1312/841, 8117/9362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1312/841, 8117/9362

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 1312/841,8117/9362

Given fractions are 1312/841,8117/9362

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 1312,8117

Greatest Common Factor of Numerators i.e. GCF of 1312,8117 is 1 .

LCM of Denominators means LCM of 841,9362 as per the given fractions.

LCM of 841,9362 is 7873442 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1312,8117

GCF of Fractions 1312/841,8117/9362 is 1/7873442

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

Greatest Common Factor of 1312,8117 By Matching Biggest Common Factor Method

Greatest Common Factor of 1312,8117 By Matching Biggest Common Factor Method

Factors of 1312

List of positive integer factors of 1312 that divides 1312 without a remainder.

1,2,4,8,16,32,41,82,164,328,656,1312

Factors of 8117

List of positive integer factors of 8117 that divides 8117 without a remainder.

1,8117

Greatest Common Factor

We found the factors 1312,8117 . The biggest common factor number is the GCF number.
So the greatest common factor 1312,8117 is 1.

Lets's calculate LCM of 841,9362

Given numbers has no common factors except 1. So, there LCM is their product i.e 7873442

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7873442

Therefore, the GCF of Fractions 1312/841,8117/9362 is 1/7873442

Least Common Multiple of 841,9362 with GCF Formula

Least Common Multiple of 841,9362 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 841,9362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(841,9362) = 1

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

GCF(841,9362) x common factors =1 x 1 = 1

LCM(841,9362) = ( 841 × 9362 ) / 1

LCM(841,9362) = 7873442 / 1

LCM(841,9362) = 7873442


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 1312/841, 8117/9362

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 1312/841, 8117/9362?

Answer: GCF of Numerators as per given numbers 1312/841, 8117/9362 is

GCF of Numerators i.e. for 1312,8117 is 1

LCM of denominators i.e. for 841,9362 is 7873442.

Thus, GCF of Fractions is 1/7873442.Finally, GCF of Fractions for 1312/841, 8117/9362 is 1/7873442.