Greatest Common Factor of 712/19, 875/27, 927/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 712/19, 875/27, 927/978

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 712/19,875/27,927/978

Given fractions are 712/19,875/27,927/978

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 712,875,927

Greatest Common Factor of Numerators i.e. GCF of 712,875,927 is 1 .

LCM of Denominators means LCM of 19,27,978 as per the given fractions.

LCM of 19,27,978 is 167238 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 712,875,927

GCF of Fractions 712/19,875/27,927/978 is 1/167238

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

Greatest Common Factor of 712,875,927 By Matching Biggest Common Factor Method

Greatest Common Factor of 712,875,927 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 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Factors of 927

List of positive integer factors of 927 that divides 927 without a remainder.

1,3,9,103,309,927

Greatest Common Factor

We found the factors 712,875,927 . The biggest common factor number is the GCF number.
So the greatest common factor 712,875,927 is 1.

Lets's calculate LCM of 19,27,978

3 19, 27, 978
19, 9, 326

∴ So the LCM of the given numbers is 3 x 19 x 9 x 326 = 167238

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/167238

Therefore, the GCF of Fractions 712/19,875/27,927/978 is 1/167238

Least Common Multiple of 19,27,978 with GCF Formula

Least Common Multiple of 19,27,978 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 19,27,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,27,978) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(19,27,978) x common factors =1 x 3 = 3

LCM(19,27,978) = ( 19 × 27 × 978 ) / 3

LCM(19,27,978) = 501714 / 3

LCM(19,27,978) = 167238


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 712/19, 875/27, 927/978

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 712/19, 875/27, 927/978?

Answer: GCF of Numerators as per given numbers 712/19, 875/27, 927/978 is

GCF of Numerators i.e. for 712,875,927 is 1

LCM of denominators i.e. for 19,27,978 is 167238.

Thus, GCF of Fractions is 1/167238.Finally, GCF of Fractions for 712/19, 875/27, 927/978 is 1/167238.