Greatest Common Factor of 9910/701, 7532/6734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9910/701, 7532/6734

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 9910/701,7532/6734

Given fractions are 9910/701,7532/6734

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 9910,7532

Greatest Common Factor of Numerators i.e. GCF of 9910,7532 is 2 .

LCM of Denominators means LCM of 701,6734 as per the given fractions.

LCM of 701,6734 is 4720534 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9910,7532

GCF of Fractions 9910/701,7532/6734 is 2/4720534

2 9910, 7532
4955, 3766

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9910,7532 By Matching Biggest Common Factor Method

Greatest Common Factor of 9910,7532 By Matching Biggest Common Factor Method

Factors of 9910

List of positive integer factors of 9910 that divides 9910 without a remainder.

1,2,5,10,991,1982,4955,9910

Factors of 7532

List of positive integer factors of 7532 that divides 7532 without a remainder.

1,2,4,7,14,28,269,538,1076,1883,3766,7532

Greatest Common Factor

We found the factors 9910,7532 . The biggest common factor number is the GCF number.
So the greatest common factor 9910,7532 is 2.

Lets's calculate LCM of 701,6734

Given numbers has no common factors except 1. So, there LCM is their product i.e 4720534

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4720534

Therefore, the GCF of Fractions 9910/701,7532/6734 is 2/4720534

Least Common Multiple of 701,6734 with GCF Formula

Least Common Multiple of 701,6734 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 701,6734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(701,6734) = 1

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

GCF(701,6734) x common factors =1 x 1 = 1

LCM(701,6734) = ( 701 × 6734 ) / 1

LCM(701,6734) = 4720534 / 1

LCM(701,6734) = 4720534


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 9910/701, 7532/6734

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 9910/701, 7532/6734?

Answer: GCF of Numerators as per given numbers 9910/701, 7532/6734 is

GCF of Numerators i.e. for 9910,7532 is 2

LCM of denominators i.e. for 701,6734 is 4720534.

Thus, GCF of Fractions is 2/4720534.Finally, GCF of Fractions for 9910/701, 7532/6734 is 2/4720534.