Greatest Common Factor of 964/40, 337/65, 160/509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 964/40, 337/65, 160/509

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 964/40,337/65,160/509

Given fractions are 964/40,337/65,160/509

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 964,337,160

Greatest Common Factor of Numerators i.e. GCF of 964,337,160 is 1 .

LCM of Denominators means LCM of 40,65,509 as per the given fractions.

LCM of 40,65,509 is 264680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 964,337,160

GCF of Fractions 964/40,337/65,160/509 is 1/264680

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

Greatest Common Factor of 964,337,160 By Matching Biggest Common Factor Method

Greatest Common Factor of 964,337,160 By Matching Biggest Common Factor Method

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1,337

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Greatest Common Factor

We found the factors 964,337,160 . The biggest common factor number is the GCF number.
So the greatest common factor 964,337,160 is 1.

Lets's calculate LCM of 40,65,509

5 40, 65, 509
8, 13, 509

∴ So the LCM of the given numbers is 5 x 8 x 13 x 509 = 264680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/264680

Therefore, the GCF of Fractions 964/40,337/65,160/509 is 1/264680

Least Common Multiple of 40,65,509 with GCF Formula

Least Common Multiple of 40,65,509 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 40,65,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,65,509) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(40,65,509) x common factors =1 x 5 = 5

LCM(40,65,509) = ( 40 × 65 × 509 ) / 5

LCM(40,65,509) = 1323400 / 5

LCM(40,65,509) = 264680


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 964/40, 337/65, 160/509

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 964/40, 337/65, 160/509?

Answer: GCF of Numerators as per given numbers 964/40, 337/65, 160/509 is

GCF of Numerators i.e. for 964,337,160 is 1

LCM of denominators i.e. for 40,65,509 is 264680.

Thus, GCF of Fractions is 1/264680.Finally, GCF of Fractions for 964/40, 337/65, 160/509 is 1/264680.