Greatest Common Factor of 4216/972, 8453/186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4216/972, 8453/186

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 4216/972,8453/186

Given fractions are 4216/972,8453/186

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 4216,8453

Greatest Common Factor of Numerators i.e. GCF of 4216,8453 is 1 .

LCM of Denominators means LCM of 972,186 as per the given fractions.

LCM of 972,186 is 30132 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4216,8453

GCF of Fractions 4216/972,8453/186 is 1/30132

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

Greatest Common Factor of 4216,8453 By Matching Biggest Common Factor Method

Greatest Common Factor of 4216,8453 By Matching Biggest Common Factor Method

Factors of 4216

List of positive integer factors of 4216 that divides 4216 without a remainder.

1,2,4,8,17,31,34,62,68,124,136,248,527,1054,2108,4216

Factors of 8453

List of positive integer factors of 8453 that divides 8453 without a remainder.

1,79,107,8453

Greatest Common Factor

We found the factors 4216,8453 . The biggest common factor number is the GCF number.
So the greatest common factor 4216,8453 is 1.

Lets's calculate LCM of 972,186

2 972, 186
3 486, 93
162, 31

∴ So the LCM of the given numbers is 2 x 3 x 162 x 31 = 30132

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30132

Therefore, the GCF of Fractions 4216/972,8453/186 is 1/30132

Least Common Multiple of 972,186 with GCF Formula

Least Common Multiple of 972,186 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 972,186 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,186) = 6

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

GCF(972,186) x common factors =6 x 1 = 6

LCM(972,186) = ( 972 × 186 ) / 6

LCM(972,186) = 180792 / 6

LCM(972,186) = 30132


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 4216/972, 8453/186

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 4216/972, 8453/186?

Answer: GCF of Numerators as per given numbers 4216/972, 8453/186 is

GCF of Numerators i.e. for 4216,8453 is 1

LCM of denominators i.e. for 972,186 is 30132.

Thus, GCF of Fractions is 1/30132.Finally, GCF of Fractions for 4216/972, 8453/186 is 1/30132.