Greatest Common Factor of 6161/49, 9024/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6161/49, 9024/812

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 6161/49,9024/812

Given fractions are 6161/49,9024/812

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 6161,9024

Greatest Common Factor of Numerators i.e. GCF of 6161,9024 is 1 .

LCM of Denominators means LCM of 49,812 as per the given fractions.

LCM of 49,812 is 5684 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6161,9024

GCF of Fractions 6161/49,9024/812 is 1/5684

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

Greatest Common Factor of 6161,9024 By Matching Biggest Common Factor Method

Greatest Common Factor of 6161,9024 By Matching Biggest Common Factor Method

Factors of 6161

List of positive integer factors of 6161 that divides 6161 without a remainder.

1,61,101,6161

Factors of 9024

List of positive integer factors of 9024 that divides 9024 without a remainder.

1,2,3,4,6,8,12,16,24,32,47,48,64,94,96,141,188,192,282,376,564,752,1128,1504,2256,3008,4512,9024

Greatest Common Factor

We found the factors 6161,9024 . The biggest common factor number is the GCF number.
So the greatest common factor 6161,9024 is 1.

Lets's calculate LCM of 49,812

7 49, 812
7, 116

∴ So the LCM of the given numbers is 7 x 7 x 116 = 5684

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5684

Therefore, the GCF of Fractions 6161/49,9024/812 is 1/5684

Least Common Multiple of 49,812 with GCF Formula

Least Common Multiple of 49,812 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 49,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,812) = 7

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

GCF(49,812) x common factors =7 x 1 = 7

LCM(49,812) = ( 49 × 812 ) / 7

LCM(49,812) = 39788 / 7

LCM(49,812) = 5684


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 6161/49, 9024/812

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 6161/49, 9024/812?

Answer: GCF of Numerators as per given numbers 6161/49, 9024/812 is

GCF of Numerators i.e. for 6161,9024 is 1

LCM of denominators i.e. for 49,812 is 5684.

Thus, GCF of Fractions is 1/5684.Finally, GCF of Fractions for 6161/49, 9024/812 is 1/5684.