Greatest Common Factor of 84/64, 722/97, 852/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/64, 722/97, 852/300

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 84/64,722/97,852/300

Given fractions are 84/64,722/97,852/300

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 84,722,852

Greatest Common Factor of Numerators i.e. GCF of 84,722,852 is 2 .

LCM of Denominators means LCM of 64,97,300 as per the given fractions.

LCM of 64,97,300 is 465600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,722,852

GCF of Fractions 84/64,722/97,852/300 is 2/465600

2 84, 722, 852
42, 361, 426

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

Greatest Common Factor of 84,722,852 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,722,852 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Greatest Common Factor

We found the factors 84,722,852 . The biggest common factor number is the GCF number.
So the greatest common factor 84,722,852 is 2.

Lets's calculate LCM of 64,97,300

2 64, 97, 300
2 32, 97, 150
16, 97, 75

∴ So the LCM of the given numbers is 2 x 2 x 16 x 97 x 75 = 465600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/465600

Therefore, the GCF of Fractions 84/64,722/97,852/300 is 2/465600

Least Common Multiple of 64,97,300 with GCF Formula

Least Common Multiple of 64,97,300 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 64,97,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,97,300) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(64,97,300) x common factors =1 x 4 = 4

LCM(64,97,300) = ( 64 × 97 × 300 ) / 4

LCM(64,97,300) = 1862400 / 4

LCM(64,97,300) = 465600


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 84/64, 722/97, 852/300

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 84/64, 722/97, 852/300?

Answer: GCF of Numerators as per given numbers 84/64, 722/97, 852/300 is

GCF of Numerators i.e. for 84,722,852 is 2

LCM of denominators i.e. for 64,97,300 is 465600.

Thus, GCF of Fractions is 2/465600.Finally, GCF of Fractions for 84/64, 722/97, 852/300 is 2/465600.