Greatest Common Factor of 986/21, 728/97, 942/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 986/21, 728/97, 942/300

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 986/21,728/97,942/300

Given fractions are 986/21,728/97,942/300

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 986,728,942

Greatest Common Factor of Numerators i.e. GCF of 986,728,942 is 2 .

LCM of Denominators means LCM of 21,97,300 as per the given fractions.

LCM of 21,97,300 is 203700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 986,728,942

GCF of Fractions 986/21,728/97,942/300 is 2/203700

2 986, 728, 942
493, 364, 471

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

Greatest Common Factor of 986,728,942 By Matching Biggest Common Factor Method

Greatest Common Factor of 986,728,942 By Matching Biggest Common Factor Method

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Greatest Common Factor

We found the factors 986,728,942 . The biggest common factor number is the GCF number.
So the greatest common factor 986,728,942 is 2.

Lets's calculate LCM of 21,97,300

3 21, 97, 300
7, 97, 100

∴ So the LCM of the given numbers is 3 x 7 x 97 x 100 = 203700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/203700

Therefore, the GCF of Fractions 986/21,728/97,942/300 is 2/203700

Least Common Multiple of 21,97,300 with GCF Formula

Least Common Multiple of 21,97,300 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 21,97,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,97,300) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(21,97,300) x common factors =1 x 3 = 3

LCM(21,97,300) = ( 21 × 97 × 300 ) / 3

LCM(21,97,300) = 611100 / 3

LCM(21,97,300) = 203700


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 986/21, 728/97, 942/300

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 986/21, 728/97, 942/300?

Answer: GCF of Numerators as per given numbers 986/21, 728/97, 942/300 is

GCF of Numerators i.e. for 986,728,942 is 2

LCM of denominators i.e. for 21,97,300 is 203700.

Thus, GCF of Fractions is 2/203700.Finally, GCF of Fractions for 986/21, 728/97, 942/300 is 2/203700.