Greatest Common Factor of 775/784, 202/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 775/784, 202/432

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 775/784,202/432

Given fractions are 775/784,202/432

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 775,202

Greatest Common Factor of Numerators i.e. GCF of 775,202 is 1 .

LCM of Denominators means LCM of 784,432 as per the given fractions.

LCM of 784,432 is 21168 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 775,202

GCF of Fractions 775/784,202/432 is 1/21168

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

Greatest Common Factor of 775,202 By Matching Biggest Common Factor Method

Greatest Common Factor of 775,202 By Matching Biggest Common Factor Method

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Greatest Common Factor

We found the factors 775,202 . The biggest common factor number is the GCF number.
So the greatest common factor 775,202 is 1.

Lets's calculate LCM of 784,432

2 784, 432
2 392, 216
2 196, 108
2 98, 54
49, 27

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 49 x 27 = 21168

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21168

Therefore, the GCF of Fractions 775/784,202/432 is 1/21168

Least Common Multiple of 784,432 with GCF Formula

Least Common Multiple of 784,432 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 784,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,432) = 16

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

GCF(784,432) x common factors =16 x 1 = 16

LCM(784,432) = ( 784 × 432 ) / 16

LCM(784,432) = 338688 / 16

LCM(784,432) = 21168


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 775/784, 202/432

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 775/784, 202/432?

Answer: GCF of Numerators as per given numbers 775/784, 202/432 is

GCF of Numerators i.e. for 775,202 is 1

LCM of denominators i.e. for 784,432 is 21168.

Thus, GCF of Fractions is 1/21168.Finally, GCF of Fractions for 775/784, 202/432 is 1/21168.