Greatest Common Factor of 681/56, 775/92, 360/189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 681/56, 775/92, 360/189

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 681/56,775/92,360/189

Given fractions are 681/56,775/92,360/189

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 681,775,360

Greatest Common Factor of Numerators i.e. GCF of 681,775,360 is 1 .

LCM of Denominators means LCM of 56,92,189 as per the given fractions.

LCM of 56,92,189 is 34776 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 681,775,360

GCF of Fractions 681/56,775/92,360/189 is 1/34776

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

Greatest Common Factor of 681,775,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 681,775,360 By Matching Biggest Common Factor Method

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 681,775,360 . The biggest common factor number is the GCF number.
So the greatest common factor 681,775,360 is 1.

Lets's calculate LCM of 56,92,189

2 56, 92, 189
2 28, 46, 189
7 14, 23, 189
2, 23, 27

∴ So the LCM of the given numbers is 2 x 2 x 7 x 2 x 23 x 27 = 34776

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34776

Therefore, the GCF of Fractions 681/56,775/92,360/189 is 1/34776

Least Common Multiple of 56,92,189 with GCF Formula

Least Common Multiple of 56,92,189 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 56,92,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,92,189) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(56,92,189) x common factors =1 x 28 = 28

LCM(56,92,189) = ( 56 × 92 × 189 ) / 28

LCM(56,92,189) = 973728 / 28

LCM(56,92,189) = 34776


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 681/56, 775/92, 360/189

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 681/56, 775/92, 360/189?

Answer: GCF of Numerators as per given numbers 681/56, 775/92, 360/189 is

GCF of Numerators i.e. for 681,775,360 is 1

LCM of denominators i.e. for 56,92,189 is 34776.

Thus, GCF of Fractions is 1/34776.Finally, GCF of Fractions for 681/56, 775/92, 360/189 is 1/34776.