Greatest Common Factor of 906/545, 4014/745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 906/545, 4014/745

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 906/545,4014/745

Given fractions are 906/545,4014/745

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 906,4014

Greatest Common Factor of Numerators i.e. GCF of 906,4014 is 6 .

LCM of Denominators means LCM of 545,745 as per the given fractions.

LCM of 545,745 is 81205 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 906,4014

GCF of Fractions 906/545,4014/745 is 6/81205

2 906, 4014
3 453, 2007
151, 669

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 906,4014 By Matching Biggest Common Factor Method

Greatest Common Factor of 906,4014 By Matching Biggest Common Factor Method

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Factors of 4014

List of positive integer factors of 4014 that divides 4014 without a remainder.

1,2,3,6,9,18,223,446,669,1338,2007,4014

Greatest Common Factor

We found the factors 906,4014 . The biggest common factor number is the GCF number.
So the greatest common factor 906,4014 is 6.

Lets's calculate LCM of 545,745

5 545, 745
109, 149

∴ So the LCM of the given numbers is 5 x 109 x 149 = 81205

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/81205

Therefore, the GCF of Fractions 906/545,4014/745 is 6/81205

Least Common Multiple of 545,745 with GCF Formula

Least Common Multiple of 545,745 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 545,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(545,745) = 5

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

GCF(545,745) x common factors =5 x 1 = 5

LCM(545,745) = ( 545 × 745 ) / 5

LCM(545,745) = 406025 / 5

LCM(545,745) = 81205


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 906/545, 4014/745

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 906/545, 4014/745?

Answer: GCF of Numerators as per given numbers 906/545, 4014/745 is

GCF of Numerators i.e. for 906,4014 is 6

LCM of denominators i.e. for 545,745 is 81205.

Thus, GCF of Fractions is 6/81205.Finally, GCF of Fractions for 906/545, 4014/745 is 6/81205.