Greatest Common Factor of 786/41, 177/18, 912/85

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 786/41, 177/18, 912/85

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 786/41,177/18,912/85

Given fractions are 786/41,177/18,912/85

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 786,177,912

Greatest Common Factor of Numerators i.e. GCF of 786,177,912 is 3 .

LCM of Denominators means LCM of 41,18,85 as per the given fractions.

LCM of 41,18,85 is 62730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 786,177,912

GCF of Fractions 786/41,177/18,912/85 is 3/62730

3 786, 177, 912
262, 59, 304

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 786,177,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 786,177,912 By Matching Biggest Common Factor Method

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

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

Greatest Common Factor

We found the factors 786,177,912 . The biggest common factor number is the GCF number.
So the greatest common factor 786,177,912 is 3.

Lets's calculate LCM of 41,18,85

Given numbers has no common factors except 1. So, there LCM is their product i.e 62730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/62730

Therefore, the GCF of Fractions 786/41,177/18,912/85 is 3/62730

Least Common Multiple of 41,18,85 with GCF Formula

Least Common Multiple of 41,18,85 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 41,18,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,18,85) = 1

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

GCF(41,18,85) x common factors =1 x 1 = 1

LCM(41,18,85) = ( 41 × 18 × 85 ) / 1

LCM(41,18,85) = 62730 / 1

LCM(41,18,85) = 62730


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 786/41, 177/18, 912/85

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 786/41, 177/18, 912/85?

Answer: GCF of Numerators as per given numbers 786/41, 177/18, 912/85 is

GCF of Numerators i.e. for 786,177,912 is 3

LCM of denominators i.e. for 41,18,85 is 62730.

Thus, GCF of Fractions is 3/62730.Finally, GCF of Fractions for 786/41, 177/18, 912/85 is 3/62730.