Greatest Common Factor of 99/77, 64/748, 571/845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 99/77, 64/748, 571/845

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 99/77,64/748,571/845

Given fractions are 99/77,64/748,571/845

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 99,64,571

Greatest Common Factor of Numerators i.e. GCF of 99,64,571 is 1 .

LCM of Denominators means LCM of 77,748,845 as per the given fractions.

LCM of 77,748,845 is 4424420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 99,64,571

GCF of Fractions 99/77,64/748,571/845 is 1/4424420

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

Greatest Common Factor of 99,64,571 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,64,571 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 571

List of positive integer factors of 571 that divides 571 without a remainder.

1,571

Greatest Common Factor

We found the factors 99,64,571 . The biggest common factor number is the GCF number.
So the greatest common factor 99,64,571 is 1.

Lets's calculate LCM of 77,748,845

11 77, 748, 845
7, 68, 845

∴ So the LCM of the given numbers is 11 x 7 x 68 x 845 = 4424420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4424420

Therefore, the GCF of Fractions 99/77,64/748,571/845 is 1/4424420

Least Common Multiple of 77,748,845 with GCF Formula

Least Common Multiple of 77,748,845 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 77,748,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,748,845) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(77,748,845) x common factors =1 x 11 = 11

LCM(77,748,845) = ( 77 × 748 × 845 ) / 11

LCM(77,748,845) = 48668620 / 11

LCM(77,748,845) = 4424420


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 99/77, 64/748, 571/845

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 99/77, 64/748, 571/845?

Answer: GCF of Numerators as per given numbers 99/77, 64/748, 571/845 is

GCF of Numerators i.e. for 99,64,571 is 1

LCM of denominators i.e. for 77,748,845 is 4424420.

Thus, GCF of Fractions is 1/4424420.Finally, GCF of Fractions for 99/77, 64/748, 571/845 is 1/4424420.