Greatest Common Factor of 906/680, 1528/435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 906/680, 1528/435

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 906/680,1528/435

Given fractions are 906/680,1528/435

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 906,1528

Greatest Common Factor of Numerators i.e. GCF of 906,1528 is 2 .

LCM of Denominators means LCM of 680,435 as per the given fractions.

LCM of 680,435 is 59160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 906,1528

GCF of Fractions 906/680,1528/435 is 2/59160

2 906, 1528
453, 764

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

Greatest Common Factor of 906,1528 By Matching Biggest Common Factor Method

Greatest Common Factor of 906,1528 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 1528

List of positive integer factors of 1528 that divides 1528 without a remainder.

1,2,4,8,191,382,764,1528

Greatest Common Factor

We found the factors 906,1528 . The biggest common factor number is the GCF number.
So the greatest common factor 906,1528 is 2.

Lets's calculate LCM of 680,435

5 680, 435
136, 87

∴ So the LCM of the given numbers is 5 x 136 x 87 = 59160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/59160

Therefore, the GCF of Fractions 906/680,1528/435 is 2/59160

Least Common Multiple of 680,435 with GCF Formula

Least Common Multiple of 680,435 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 680,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,435) = 5

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

GCF(680,435) x common factors =5 x 1 = 5

LCM(680,435) = ( 680 × 435 ) / 5

LCM(680,435) = 295800 / 5

LCM(680,435) = 59160


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 906/680, 1528/435

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 906/680, 1528/435?

Answer: GCF of Numerators as per given numbers 906/680, 1528/435 is

GCF of Numerators i.e. for 906,1528 is 2

LCM of denominators i.e. for 680,435 is 59160.

Thus, GCF of Fractions is 2/59160.Finally, GCF of Fractions for 906/680, 1528/435 is 2/59160.