Greatest Common Factor of 912/585, 1482/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 912/585, 1482/724

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 912/585,1482/724

Given fractions are 912/585,1482/724

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 912,1482

Greatest Common Factor of Numerators i.e. GCF of 912,1482 is 114 .

LCM of Denominators means LCM of 585,724 as per the given fractions.

LCM of 585,724 is 423540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 912,1482

GCF of Fractions 912/585,1482/724 is 114/423540

2 912, 1482
3 456, 741
19 152, 247
8, 13

∴ So the GCF of the given numbers is 2 x 3 x 19 = 114

Greatest Common Factor of 912,1482 By Matching Biggest Common Factor Method

Greatest Common Factor of 912,1482 By Matching Biggest Common Factor Method

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Factors of 1482

List of positive integer factors of 1482 that divides 1482 without a remainder.

1,2,3,6,13,19,26,38,39,57,78,114,247,494,741,1482

Greatest Common Factor

We found the factors 912,1482 . The biggest common factor number is the GCF number.
So the greatest common factor 912,1482 is 114.

Lets's calculate LCM of 585,724

Given numbers has no common factors except 1. So, there LCM is their product i.e 423540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 114/423540

Therefore, the GCF of Fractions 912/585,1482/724 is 114/423540

Least Common Multiple of 585,724 with GCF Formula

Least Common Multiple of 585,724 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 585,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,724) = 1

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

GCF(585,724) x common factors =1 x 1 = 1

LCM(585,724) = ( 585 × 724 ) / 1

LCM(585,724) = 423540 / 1

LCM(585,724) = 423540


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 912/585, 1482/724

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 912/585, 1482/724?

Answer: GCF of Numerators as per given numbers 912/585, 1482/724 is

GCF of Numerators i.e. for 912,1482 is 114

LCM of denominators i.e. for 585,724 is 423540.

Thus, GCF of Fractions is 114/423540.Finally, GCF of Fractions for 912/585, 1482/724 is 114/423540.