Greatest Common Factor of 931/34, 662/64, 405/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 931/34, 662/64, 405/680

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 931/34,662/64,405/680

Given fractions are 931/34,662/64,405/680

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 931,662,405

Greatest Common Factor of Numerators i.e. GCF of 931,662,405 is 1 .

LCM of Denominators means LCM of 34,64,680 as per the given fractions.

LCM of 34,64,680 is 5440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 931,662,405

GCF of Fractions 931/34,662/64,405/680 is 1/5440

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

Greatest Common Factor of 931,662,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 931,662,405 By Matching Biggest Common Factor Method

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Greatest Common Factor

We found the factors 931,662,405 . The biggest common factor number is the GCF number.
So the greatest common factor 931,662,405 is 1.

Lets's calculate LCM of 34,64,680

2 34, 64, 680
2 17, 32, 340
2 17, 16, 170
17 17, 8, 85
1, 8, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 17 x 1 x 8 x 5 = 5440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5440

Therefore, the GCF of Fractions 931/34,662/64,405/680 is 1/5440

Least Common Multiple of 34,64,680 with GCF Formula

Least Common Multiple of 34,64,680 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 34,64,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,64,680) = 2

common factors(in case of two or more numbers have common factors) = 136

GCF(34,64,680) x common factors =2 x 136 = 272

LCM(34,64,680) = ( 34 × 64 × 680 ) / 272

LCM(34,64,680) = 1479680 / 272

LCM(34,64,680) = 5440


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 931/34, 662/64, 405/680

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 931/34, 662/64, 405/680?

Answer: GCF of Numerators as per given numbers 931/34, 662/64, 405/680 is

GCF of Numerators i.e. for 931,662,405 is 1

LCM of denominators i.e. for 34,64,680 is 5440.

Thus, GCF of Fractions is 1/5440.Finally, GCF of Fractions for 931/34, 662/64, 405/680 is 1/5440.