Greatest Common Factor of 12/409, 60/696, 889/752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 12/409, 60/696, 889/752

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 12/409,60/696,889/752

Given fractions are 12/409,60/696,889/752

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 12,60,889

Greatest Common Factor of Numerators i.e. GCF of 12,60,889 is 1 .

LCM of Denominators means LCM of 409,696,752 as per the given fractions.

LCM of 409,696,752 is 26758416 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 12,60,889

GCF of Fractions 12/409,60/696,889/752 is 1/26758416

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

Greatest Common Factor of 12,60,889 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,60,889 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Greatest Common Factor

We found the factors 12,60,889 . The biggest common factor number is the GCF number.
So the greatest common factor 12,60,889 is 1.

Lets's calculate LCM of 409,696,752

2 409, 696, 752
2 409, 348, 376
2 409, 174, 188
409, 87, 94

∴ So the LCM of the given numbers is 2 x 2 x 2 x 409 x 87 x 94 = 26758416

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26758416

Therefore, the GCF of Fractions 12/409,60/696,889/752 is 1/26758416

Least Common Multiple of 409,696,752 with GCF Formula

Least Common Multiple of 409,696,752 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 409,696,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(409,696,752) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(409,696,752) x common factors =1 x 8 = 8

LCM(409,696,752) = ( 409 × 696 × 752 ) / 8

LCM(409,696,752) = 214067328 / 8

LCM(409,696,752) = 26758416


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 12/409, 60/696, 889/752

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 12/409, 60/696, 889/752?

Answer: GCF of Numerators as per given numbers 12/409, 60/696, 889/752 is

GCF of Numerators i.e. for 12,60,889 is 1

LCM of denominators i.e. for 409,696,752 is 26758416.

Thus, GCF of Fractions is 1/26758416.Finally, GCF of Fractions for 12/409, 60/696, 889/752 is 1/26758416.