Greatest Common Factor of 1585/10, 5952/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1585/10, 5952/680

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 1585/10,5952/680

Given fractions are 1585/10,5952/680

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 1585,5952

Greatest Common Factor of Numerators i.e. GCF of 1585,5952 is 1 .

LCM of Denominators means LCM of 10,680 as per the given fractions.

LCM of 10,680 is 680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1585,5952

GCF of Fractions 1585/10,5952/680 is 1/680

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

Greatest Common Factor of 1585,5952 By Matching Biggest Common Factor Method

Greatest Common Factor of 1585,5952 By Matching Biggest Common Factor Method

Factors of 1585

List of positive integer factors of 1585 that divides 1585 without a remainder.

1,5,317,1585

Factors of 5952

List of positive integer factors of 5952 that divides 5952 without a remainder.

1,2,3,4,6,8,12,16,24,31,32,48,62,64,93,96,124,186,192,248,372,496,744,992,1488,1984,2976,5952

Greatest Common Factor

We found the factors 1585,5952 . The biggest common factor number is the GCF number.
So the greatest common factor 1585,5952 is 1.

Lets's calculate LCM of 10,680

2 10, 680
5 5, 340
1, 68

∴ So the LCM of the given numbers is 2 x 5 x 1 x 68 = 680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/680

Therefore, the GCF of Fractions 1585/10,5952/680 is 1/680

Least Common Multiple of 10,680 with GCF Formula

Least Common Multiple of 10,680 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 10,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,680) = 10

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

GCF(10,680) x common factors =10 x 1 = 10

LCM(10,680) = ( 10 × 680 ) / 10

LCM(10,680) = 6800 / 10

LCM(10,680) = 680


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 1585/10, 5952/680

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 1585/10, 5952/680?

Answer: GCF of Numerators as per given numbers 1585/10, 5952/680 is

GCF of Numerators i.e. for 1585,5952 is 1

LCM of denominators i.e. for 10,680 is 680.

Thus, GCF of Fractions is 1/680.Finally, GCF of Fractions for 1585/10, 5952/680 is 1/680.