Greatest Common Factor of 5512/846, 9701/740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5512/846, 9701/740

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 5512/846,9701/740

Given fractions are 5512/846,9701/740

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 5512,9701

Greatest Common Factor of Numerators i.e. GCF of 5512,9701 is 1 .

LCM of Denominators means LCM of 846,740 as per the given fractions.

LCM of 846,740 is 313020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5512,9701

GCF of Fractions 5512/846,9701/740 is 1/313020

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

Greatest Common Factor of 5512,9701 By Matching Biggest Common Factor Method

Greatest Common Factor of 5512,9701 By Matching Biggest Common Factor Method

Factors of 5512

List of positive integer factors of 5512 that divides 5512 without a remainder.

1,2,4,8,13,26,52,53,104,106,212,424,689,1378,2756,5512

Factors of 9701

List of positive integer factors of 9701 that divides 9701 without a remainder.

1,89,109,9701

Greatest Common Factor

We found the factors 5512,9701 . The biggest common factor number is the GCF number.
So the greatest common factor 5512,9701 is 1.

Lets's calculate LCM of 846,740

2 846, 740
423, 370

∴ So the LCM of the given numbers is 2 x 423 x 370 = 313020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/313020

Therefore, the GCF of Fractions 5512/846,9701/740 is 1/313020

Least Common Multiple of 846,740 with GCF Formula

Least Common Multiple of 846,740 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 846,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(846,740) = 2

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

GCF(846,740) x common factors =2 x 1 = 2

LCM(846,740) = ( 846 × 740 ) / 2

LCM(846,740) = 626040 / 2

LCM(846,740) = 313020


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 5512/846, 9701/740

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 5512/846, 9701/740?

Answer: GCF of Numerators as per given numbers 5512/846, 9701/740 is

GCF of Numerators i.e. for 5512,9701 is 1

LCM of denominators i.e. for 846,740 is 313020.

Thus, GCF of Fractions is 1/313020.Finally, GCF of Fractions for 5512/846, 9701/740 is 1/313020.