Greatest Common Factor of 71/953, 33/862, 184/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/953, 33/862, 184/722

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 71/953,33/862,184/722

Given fractions are 71/953,33/862,184/722

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 71,33,184

Greatest Common Factor of Numerators i.e. GCF of 71,33,184 is 1 .

LCM of Denominators means LCM of 953,862,722 as per the given fractions.

LCM of 953,862,722 is 296556446 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,33,184

GCF of Fractions 71/953,33/862,184/722 is 1/296556446

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

Greatest Common Factor of 71,33,184 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,33,184 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Greatest Common Factor

We found the factors 71,33,184 . The biggest common factor number is the GCF number.
So the greatest common factor 71,33,184 is 1.

Lets's calculate LCM of 953,862,722

2 953, 862, 722
953, 431, 361

∴ So the LCM of the given numbers is 2 x 953 x 431 x 361 = 296556446

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/296556446

Therefore, the GCF of Fractions 71/953,33/862,184/722 is 1/296556446

Least Common Multiple of 953,862,722 with GCF Formula

Least Common Multiple of 953,862,722 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 953,862,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(953,862,722) = 1

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

GCF(953,862,722) x common factors =1 x 2 = 2

LCM(953,862,722) = ( 953 × 862 × 722 ) / 2

LCM(953,862,722) = 593112892 / 2

LCM(953,862,722) = 296556446


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 71/953, 33/862, 184/722

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 71/953, 33/862, 184/722?

Answer: GCF of Numerators as per given numbers 71/953, 33/862, 184/722 is

GCF of Numerators i.e. for 71,33,184 is 1

LCM of denominators i.e. for 953,862,722 is 296556446.

Thus, GCF of Fractions is 1/296556446.Finally, GCF of Fractions for 71/953, 33/862, 184/722 is 1/296556446.