Greatest Common Factor of 348/62, 764/21, 463/936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 348/62, 764/21, 463/936

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 348/62,764/21,463/936

Given fractions are 348/62,764/21,463/936

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 348,764,463

Greatest Common Factor of Numerators i.e. GCF of 348,764,463 is 1 .

LCM of Denominators means LCM of 62,21,936 as per the given fractions.

LCM of 62,21,936 is 203112 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 348,764,463

GCF of Fractions 348/62,764/21,463/936 is 1/203112

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

Greatest Common Factor of 348,764,463 By Matching Biggest Common Factor Method

Greatest Common Factor of 348,764,463 By Matching Biggest Common Factor Method

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Greatest Common Factor

We found the factors 348,764,463 . The biggest common factor number is the GCF number.
So the greatest common factor 348,764,463 is 1.

Lets's calculate LCM of 62,21,936

2 62, 21, 936
3 31, 21, 468
31, 7, 156

∴ So the LCM of the given numbers is 2 x 3 x 31 x 7 x 156 = 203112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/203112

Therefore, the GCF of Fractions 348/62,764/21,463/936 is 1/203112

Least Common Multiple of 62,21,936 with GCF Formula

Least Common Multiple of 62,21,936 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 62,21,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,21,936) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(62,21,936) x common factors =1 x 6 = 6

LCM(62,21,936) = ( 62 × 21 × 936 ) / 6

LCM(62,21,936) = 1218672 / 6

LCM(62,21,936) = 203112


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 348/62, 764/21, 463/936

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 348/62, 764/21, 463/936?

Answer: GCF of Numerators as per given numbers 348/62, 764/21, 463/936 is

GCF of Numerators i.e. for 348,764,463 is 1

LCM of denominators i.e. for 62,21,936 is 203112.

Thus, GCF of Fractions is 1/203112.Finally, GCF of Fractions for 348/62, 764/21, 463/936 is 1/203112.