Greatest Common Factor of 35/181, 63/728, 738/821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 35/181, 63/728, 738/821

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 35/181,63/728,738/821

Given fractions are 35/181,63/728,738/821

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 35,63,738

Greatest Common Factor of Numerators i.e. GCF of 35,63,738 is 1 .

LCM of Denominators means LCM of 181,728,821 as per the given fractions.

LCM of 181,728,821 is 108181528 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 35,63,738

GCF of Fractions 35/181,63/728,738/821 is 1/108181528

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

Greatest Common Factor of 35,63,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,63,738 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors 35,63,738 . The biggest common factor number is the GCF number.
So the greatest common factor 35,63,738 is 1.

Lets's calculate LCM of 181,728,821

Given numbers has no common factors except 1. So, there LCM is their product i.e 108181528

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108181528

Therefore, the GCF of Fractions 35/181,63/728,738/821 is 1/108181528

Least Common Multiple of 181,728,821 with GCF Formula

Least Common Multiple of 181,728,821 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 181,728,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(181,728,821) = 1

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

GCF(181,728,821) x common factors =1 x 1 = 1

LCM(181,728,821) = ( 181 × 728 × 821 ) / 1

LCM(181,728,821) = 108181528 / 1

LCM(181,728,821) = 108181528


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 35/181, 63/728, 738/821

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 35/181, 63/728, 738/821?

Answer: GCF of Numerators as per given numbers 35/181, 63/728, 738/821 is

GCF of Numerators i.e. for 35,63,738 is 1

LCM of denominators i.e. for 181,728,821 is 108181528.

Thus, GCF of Fractions is 1/108181528.Finally, GCF of Fractions for 35/181, 63/728, 738/821 is 1/108181528.