Greatest Common Factor of 821/795, 1783/431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 821/795, 1783/431

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 821/795,1783/431

Given fractions are 821/795,1783/431

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 821,1783

Greatest Common Factor of Numerators i.e. GCF of 821,1783 is 1 .

LCM of Denominators means LCM of 795,431 as per the given fractions.

LCM of 795,431 is 342645 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 821,1783

GCF of Fractions 821/795,1783/431 is 1/342645

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

Greatest Common Factor of 821,1783 By Matching Biggest Common Factor Method

Greatest Common Factor of 821,1783 By Matching Biggest Common Factor Method

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Factors of 1783

List of positive integer factors of 1783 that divides 1783 without a remainder.

1,1783

Greatest Common Factor

We found the factors 821,1783 . The biggest common factor number is the GCF number.
So the greatest common factor 821,1783 is 1.

Lets's calculate LCM of 795,431

Given numbers has no common factors except 1. So, there LCM is their product i.e 342645

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/342645

Therefore, the GCF of Fractions 821/795,1783/431 is 1/342645

Least Common Multiple of 795,431 with GCF Formula

Least Common Multiple of 795,431 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 795,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(795,431) = 1

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

GCF(795,431) x common factors =1 x 1 = 1

LCM(795,431) = ( 795 × 431 ) / 1

LCM(795,431) = 342645 / 1

LCM(795,431) = 342645


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 821/795, 1783/431

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 821/795, 1783/431?

Answer: GCF of Numerators as per given numbers 821/795, 1783/431 is

GCF of Numerators i.e. for 821,1783 is 1

LCM of denominators i.e. for 795,431 is 342645.

Thus, GCF of Fractions is 1/342645.Finally, GCF of Fractions for 821/795, 1783/431 is 1/342645.