Greatest Common Factor of 712/12, 249/83, 554/944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 712/12, 249/83, 554/944

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 712/12,249/83,554/944

Given fractions are 712/12,249/83,554/944

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 712,249,554

Greatest Common Factor of Numerators i.e. GCF of 712,249,554 is 1 .

LCM of Denominators means LCM of 12,83,944 as per the given fractions.

LCM of 12,83,944 is 235056 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 712,249,554

GCF of Fractions 712/12,249/83,554/944 is 1/235056

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

Greatest Common Factor of 712,249,554 By Matching Biggest Common Factor Method

Greatest Common Factor of 712,249,554 By Matching Biggest Common Factor Method

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Greatest Common Factor

We found the factors 712,249,554 . The biggest common factor number is the GCF number.
So the greatest common factor 712,249,554 is 1.

Lets's calculate LCM of 12,83,944

2 12, 83, 944
2 6, 83, 472
3, 83, 236

∴ So the LCM of the given numbers is 2 x 2 x 3 x 83 x 236 = 235056

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/235056

Therefore, the GCF of Fractions 712/12,249/83,554/944 is 1/235056

Least Common Multiple of 12,83,944 with GCF Formula

Least Common Multiple of 12,83,944 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 12,83,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,83,944) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(12,83,944) x common factors =1 x 4 = 4

LCM(12,83,944) = ( 12 × 83 × 944 ) / 4

LCM(12,83,944) = 940224 / 4

LCM(12,83,944) = 235056


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 712/12, 249/83, 554/944

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 712/12, 249/83, 554/944?

Answer: GCF of Numerators as per given numbers 712/12, 249/83, 554/944 is

GCF of Numerators i.e. for 712,249,554 is 1

LCM of denominators i.e. for 12,83,944 is 235056.

Thus, GCF of Fractions is 1/235056.Finally, GCF of Fractions for 712/12, 249/83, 554/944 is 1/235056.