Greatest Common Factor of 83/359, 269/922, 901/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 83/359, 269/922, 901/794

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 83/359,269/922,901/794

Given fractions are 83/359,269/922,901/794

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 83,269,901

Greatest Common Factor of Numerators i.e. GCF of 83,269,901 is 1 .

LCM of Denominators means LCM of 359,922,794 as per the given fractions.

LCM of 359,922,794 is 131406206 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 83,269,901

GCF of Fractions 83/359,269/922,901/794 is 1/131406206

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

Greatest Common Factor of 83,269,901 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,269,901 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Greatest Common Factor

We found the factors 83,269,901 . The biggest common factor number is the GCF number.
So the greatest common factor 83,269,901 is 1.

Lets's calculate LCM of 359,922,794

2 359, 922, 794
359, 461, 397

∴ So the LCM of the given numbers is 2 x 359 x 461 x 397 = 131406206

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/131406206

Therefore, the GCF of Fractions 83/359,269/922,901/794 is 1/131406206

Least Common Multiple of 359,922,794 with GCF Formula

Least Common Multiple of 359,922,794 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 359,922,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(359,922,794) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(359,922,794) x common factors =1 x 2 = 2

LCM(359,922,794) = ( 359 × 922 × 794 ) / 2

LCM(359,922,794) = 262812412 / 2

LCM(359,922,794) = 131406206


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 83/359, 269/922, 901/794

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 83/359, 269/922, 901/794?

Answer: GCF of Numerators as per given numbers 83/359, 269/922, 901/794 is

GCF of Numerators i.e. for 83,269,901 is 1

LCM of denominators i.e. for 359,922,794 is 131406206.

Thus, GCF of Fractions is 1/131406206.Finally, GCF of Fractions for 83/359, 269/922, 901/794 is 1/131406206.