Greatest Common Factor of 81/105, 577/370, 648/178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 81/105, 577/370, 648/178

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 81/105,577/370,648/178

Given fractions are 81/105,577/370,648/178

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 81,577,648

Greatest Common Factor of Numerators i.e. GCF of 81,577,648 is 1 .

LCM of Denominators means LCM of 105,370,178 as per the given fractions.

LCM of 105,370,178 is 691530 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 81,577,648

GCF of Fractions 81/105,577/370,648/178 is 1/691530

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

Greatest Common Factor of 81,577,648 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,577,648 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Greatest Common Factor

We found the factors 81,577,648 . The biggest common factor number is the GCF number.
So the greatest common factor 81,577,648 is 1.

Lets's calculate LCM of 105,370,178

2 105, 370, 178
5 105, 185, 89
21, 37, 89

∴ So the LCM of the given numbers is 2 x 5 x 21 x 37 x 89 = 691530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/691530

Therefore, the GCF of Fractions 81/105,577/370,648/178 is 1/691530

Least Common Multiple of 105,370,178 with GCF Formula

Least Common Multiple of 105,370,178 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 105,370,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,370,178) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(105,370,178) x common factors =1 x 10 = 10

LCM(105,370,178) = ( 105 × 370 × 178 ) / 10

LCM(105,370,178) = 6915300 / 10

LCM(105,370,178) = 691530


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 81/105, 577/370, 648/178

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 81/105, 577/370, 648/178?

Answer: GCF of Numerators as per given numbers 81/105, 577/370, 648/178 is

GCF of Numerators i.e. for 81,577,648 is 1

LCM of denominators i.e. for 105,370,178 is 691530.

Thus, GCF of Fractions is 1/691530.Finally, GCF of Fractions for 81/105, 577/370, 648/178 is 1/691530.