Greatest Common Factor of 28/216, 977/329, 352/946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/216, 977/329, 352/946

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 28/216,977/329,352/946

Given fractions are 28/216,977/329,352/946

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 28,977,352

Greatest Common Factor of Numerators i.e. GCF of 28,977,352 is 1 .

LCM of Denominators means LCM of 216,329,946 as per the given fractions.

LCM of 216,329,946 is 33613272 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,977,352

GCF of Fractions 28/216,977/329,352/946 is 1/33613272

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

Greatest Common Factor of 28,977,352 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,977,352 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Greatest Common Factor

We found the factors 28,977,352 . The biggest common factor number is the GCF number.
So the greatest common factor 28,977,352 is 1.

Lets's calculate LCM of 216,329,946

2 216, 329, 946
108, 329, 473

∴ So the LCM of the given numbers is 2 x 108 x 329 x 473 = 33613272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33613272

Therefore, the GCF of Fractions 28/216,977/329,352/946 is 1/33613272

Least Common Multiple of 216,329,946 with GCF Formula

Least Common Multiple of 216,329,946 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 216,329,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,329,946) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(216,329,946) x common factors =1 x 2 = 2

LCM(216,329,946) = ( 216 × 329 × 946 ) / 2

LCM(216,329,946) = 67226544 / 2

LCM(216,329,946) = 33613272


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 28/216, 977/329, 352/946

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 28/216, 977/329, 352/946?

Answer: GCF of Numerators as per given numbers 28/216, 977/329, 352/946 is

GCF of Numerators i.e. for 28,977,352 is 1

LCM of denominators i.e. for 216,329,946 is 33613272.

Thus, GCF of Fractions is 1/33613272.Finally, GCF of Fractions for 28/216, 977/329, 352/946 is 1/33613272.