Greatest Common Factor of 656/32, 769/28, 900/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 656/32, 769/28, 900/645

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 656/32,769/28,900/645

Given fractions are 656/32,769/28,900/645

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 656,769,900

Greatest Common Factor of Numerators i.e. GCF of 656,769,900 is 1 .

LCM of Denominators means LCM of 32,28,645 as per the given fractions.

LCM of 32,28,645 is 144480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 656,769,900

GCF of Fractions 656/32,769/28,900/645 is 1/144480

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

Greatest Common Factor of 656,769,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 656,769,900 By Matching Biggest Common Factor Method

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 656,769,900 . The biggest common factor number is the GCF number.
So the greatest common factor 656,769,900 is 1.

Lets's calculate LCM of 32,28,645

2 32, 28, 645
2 16, 14, 645
8, 7, 645

∴ So the LCM of the given numbers is 2 x 2 x 8 x 7 x 645 = 144480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144480

Therefore, the GCF of Fractions 656/32,769/28,900/645 is 1/144480

Least Common Multiple of 32,28,645 with GCF Formula

Least Common Multiple of 32,28,645 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 32,28,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,28,645) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(32,28,645) x common factors =1 x 4 = 4

LCM(32,28,645) = ( 32 × 28 × 645 ) / 4

LCM(32,28,645) = 577920 / 4

LCM(32,28,645) = 144480


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 656/32, 769/28, 900/645

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 656/32, 769/28, 900/645?

Answer: GCF of Numerators as per given numbers 656/32, 769/28, 900/645 is

GCF of Numerators i.e. for 656,769,900 is 1

LCM of denominators i.e. for 32,28,645 is 144480.

Thus, GCF of Fractions is 1/144480.Finally, GCF of Fractions for 656/32, 769/28, 900/645 is 1/144480.