Greatest Common Factor of 746/91, 409/31, 732/53

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 746/91, 409/31, 732/53

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 746/91,409/31,732/53

Given fractions are 746/91,409/31,732/53

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 746,409,732

Greatest Common Factor of Numerators i.e. GCF of 746,409,732 is 1 .

LCM of Denominators means LCM of 91,31,53 as per the given fractions.

LCM of 91,31,53 is 149513 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 746,409,732

GCF of Fractions 746/91,409/31,732/53 is 1/149513

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

Greatest Common Factor of 746,409,732 By Matching Biggest Common Factor Method

Greatest Common Factor of 746,409,732 By Matching Biggest Common Factor Method

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 746,409,732 . The biggest common factor number is the GCF number.
So the greatest common factor 746,409,732 is 1.

Lets's calculate LCM of 91,31,53

Given numbers has no common factors except 1. So, there LCM is their product i.e 149513

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/149513

Therefore, the GCF of Fractions 746/91,409/31,732/53 is 1/149513

Least Common Multiple of 91,31,53 with GCF Formula

Least Common Multiple of 91,31,53 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 91,31,53 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,31,53) = 1

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

GCF(91,31,53) x common factors =1 x 1 = 1

LCM(91,31,53) = ( 91 × 31 × 53 ) / 1

LCM(91,31,53) = 149513 / 1

LCM(91,31,53) = 149513


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 746/91, 409/31, 732/53

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 746/91, 409/31, 732/53?

Answer: GCF of Numerators as per given numbers 746/91, 409/31, 732/53 is

GCF of Numerators i.e. for 746,409,732 is 1

LCM of denominators i.e. for 91,31,53 is 149513.

Thus, GCF of Fractions is 1/149513.Finally, GCF of Fractions for 746/91, 409/31, 732/53 is 1/149513.