Greatest Common Factor of 7249/881, 6956/9654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7249/881, 6956/9654

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 7249/881,6956/9654

Given fractions are 7249/881,6956/9654

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 7249,6956

Greatest Common Factor of Numerators i.e. GCF of 7249,6956 is 1 .

LCM of Denominators means LCM of 881,9654 as per the given fractions.

LCM of 881,9654 is 8505174 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7249,6956

GCF of Fractions 7249/881,6956/9654 is 1/8505174

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

Greatest Common Factor of 7249,6956 By Matching Biggest Common Factor Method

Greatest Common Factor of 7249,6956 By Matching Biggest Common Factor Method

Factors of 7249

List of positive integer factors of 7249 that divides 7249 without a remainder.

1,11,659,7249

Factors of 6956

List of positive integer factors of 6956 that divides 6956 without a remainder.

1,2,4,37,47,74,94,148,188,1739,3478,6956

Greatest Common Factor

We found the factors 7249,6956 . The biggest common factor number is the GCF number.
So the greatest common factor 7249,6956 is 1.

Lets's calculate LCM of 881,9654

Given numbers has no common factors except 1. So, there LCM is their product i.e 8505174

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8505174

Therefore, the GCF of Fractions 7249/881,6956/9654 is 1/8505174

Least Common Multiple of 881,9654 with GCF Formula

Least Common Multiple of 881,9654 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 881,9654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(881,9654) = 1

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

GCF(881,9654) x common factors =1 x 1 = 1

LCM(881,9654) = ( 881 × 9654 ) / 1

LCM(881,9654) = 8505174 / 1

LCM(881,9654) = 8505174


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 7249/881, 6956/9654

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 7249/881, 6956/9654?

Answer: GCF of Numerators as per given numbers 7249/881, 6956/9654 is

GCF of Numerators i.e. for 7249,6956 is 1

LCM of denominators i.e. for 881,9654 is 8505174.

Thus, GCF of Fractions is 1/8505174.Finally, GCF of Fractions for 7249/881, 6956/9654 is 1/8505174.