Greatest Common Factor of 36/440, 870/256, 433/745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 36/440, 870/256, 433/745

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 36/440,870/256,433/745

Given fractions are 36/440,870/256,433/745

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 36,870,433

Greatest Common Factor of Numerators i.e. GCF of 36,870,433 is 1 .

LCM of Denominators means LCM of 440,256,745 as per the given fractions.

LCM of 440,256,745 is 2097920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 36,870,433

GCF of Fractions 36/440,870/256,433/745 is 1/2097920

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

Greatest Common Factor of 36,870,433 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,870,433 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Factors of 433

List of positive integer factors of 433 that divides 433 without a remainder.

1,433

Greatest Common Factor

We found the factors 36,870,433 . The biggest common factor number is the GCF number.
So the greatest common factor 36,870,433 is 1.

Lets's calculate LCM of 440,256,745

2 440, 256, 745
2 220, 128, 745
2 110, 64, 745
5 55, 32, 745
11, 32, 149

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 11 x 32 x 149 = 2097920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2097920

Therefore, the GCF of Fractions 36/440,870/256,433/745 is 1/2097920

Least Common Multiple of 440,256,745 with GCF Formula

Least Common Multiple of 440,256,745 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 440,256,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(440,256,745) = 1

common factors(in case of two or more numbers have common factors) = 40

GCF(440,256,745) x common factors =1 x 40 = 40

LCM(440,256,745) = ( 440 × 256 × 745 ) / 40

LCM(440,256,745) = 83916800 / 40

LCM(440,256,745) = 2097920


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 36/440, 870/256, 433/745

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 36/440, 870/256, 433/745?

Answer: GCF of Numerators as per given numbers 36/440, 870/256, 433/745 is

GCF of Numerators i.e. for 36,870,433 is 1

LCM of denominators i.e. for 440,256,745 is 2097920.

Thus, GCF of Fractions is 1/2097920.Finally, GCF of Fractions for 36/440, 870/256, 433/745 is 1/2097920.