Greatest Common Factor of 716/455, 798/927, 954/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 716/455, 798/927, 954/468

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 716/455,798/927,954/468

Given fractions are 716/455,798/927,954/468

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 716,798,954

Greatest Common Factor of Numerators i.e. GCF of 716,798,954 is 2 .

LCM of Denominators means LCM of 455,927,468 as per the given fractions.

LCM of 455,927,468 is 1687140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 716,798,954

GCF of Fractions 716/455,798/927,954/468 is 2/1687140

2 716, 798, 954
358, 399, 477

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

Greatest Common Factor of 716,798,954 By Matching Biggest Common Factor Method

Greatest Common Factor of 716,798,954 By Matching Biggest Common Factor Method

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Greatest Common Factor

We found the factors 716,798,954 . The biggest common factor number is the GCF number.
So the greatest common factor 716,798,954 is 2.

Lets's calculate LCM of 455,927,468

3 455, 927, 468
3 455, 309, 156
13 455, 103, 52
35, 103, 4

∴ So the LCM of the given numbers is 3 x 3 x 13 x 35 x 103 x 4 = 1687140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1687140

Therefore, the GCF of Fractions 716/455,798/927,954/468 is 2/1687140

Least Common Multiple of 455,927,468 with GCF Formula

Least Common Multiple of 455,927,468 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 455,927,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(455,927,468) = 1

common factors(in case of two or more numbers have common factors) = 117

GCF(455,927,468) x common factors =1 x 117 = 117

LCM(455,927,468) = ( 455 × 927 × 468 ) / 117

LCM(455,927,468) = 197395380 / 117

LCM(455,927,468) = 1687140


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 716/455, 798/927, 954/468

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 716/455, 798/927, 954/468?

Answer: GCF of Numerators as per given numbers 716/455, 798/927, 954/468 is

GCF of Numerators i.e. for 716,798,954 is 2

LCM of denominators i.e. for 455,927,468 is 1687140.

Thus, GCF of Fractions is 2/1687140.Finally, GCF of Fractions for 716/455, 798/927, 954/468 is 2/1687140.