Greatest Common Factor of 83/68, 13/34, 571/232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 83/68, 13/34, 571/232

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 83/68,13/34,571/232

Given fractions are 83/68,13/34,571/232

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 83,13,571

Greatest Common Factor of Numerators i.e. GCF of 83,13,571 is 1 .

LCM of Denominators means LCM of 68,34,232 as per the given fractions.

LCM of 68,34,232 is 3944 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 83,13,571

GCF of Fractions 83/68,13/34,571/232 is 1/3944

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

Greatest Common Factor of 83,13,571 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,13,571 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 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 571

List of positive integer factors of 571 that divides 571 without a remainder.

1,571

Greatest Common Factor

We found the factors 83,13,571 . The biggest common factor number is the GCF number.
So the greatest common factor 83,13,571 is 1.

Lets's calculate LCM of 68,34,232

2 68, 34, 232
2 34, 17, 116
17 17, 17, 58
1, 1, 58

∴ So the LCM of the given numbers is 2 x 2 x 17 x 1 x 1 x 58 = 3944

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3944

Therefore, the GCF of Fractions 83/68,13/34,571/232 is 1/3944

Least Common Multiple of 68,34,232 with GCF Formula

Least Common Multiple of 68,34,232 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 68,34,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,34,232) = 2

common factors(in case of two or more numbers have common factors) = 68

GCF(68,34,232) x common factors =2 x 68 = 136

LCM(68,34,232) = ( 68 × 34 × 232 ) / 136

LCM(68,34,232) = 536384 / 136

LCM(68,34,232) = 3944


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 83/68, 13/34, 571/232

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 83/68, 13/34, 571/232?

Answer: GCF of Numerators as per given numbers 83/68, 13/34, 571/232 is

GCF of Numerators i.e. for 83,13,571 is 1

LCM of denominators i.e. for 68,34,232 is 3944.

Thus, GCF of Fractions is 1/3944.Finally, GCF of Fractions for 83/68, 13/34, 571/232 is 1/3944.