Greatest Common Factor of 1560/899, 6649/3428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1560/899, 6649/3428

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 1560/899,6649/3428

Given fractions are 1560/899,6649/3428

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 1560,6649

Greatest Common Factor of Numerators i.e. GCF of 1560,6649 is 1 .

LCM of Denominators means LCM of 899,3428 as per the given fractions.

LCM of 899,3428 is 3081772 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1560,6649

GCF of Fractions 1560/899,6649/3428 is 1/3081772

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

Greatest Common Factor of 1560,6649 By Matching Biggest Common Factor Method

Greatest Common Factor of 1560,6649 By Matching Biggest Common Factor Method

Factors of 1560

List of positive integer factors of 1560 that divides 1560 without a remainder.

1,2,3,4,5,6,8,10,12,13,15,20,24,26,30,39,40,52,60,65,78,104,120,130,156,195,260,312,390,520,780,1560

Factors of 6649

List of positive integer factors of 6649 that divides 6649 without a remainder.

1,61,109,6649

Greatest Common Factor

We found the factors 1560,6649 . The biggest common factor number is the GCF number.
So the greatest common factor 1560,6649 is 1.

Lets's calculate LCM of 899,3428

Given numbers has no common factors except 1. So, there LCM is their product i.e 3081772

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3081772

Therefore, the GCF of Fractions 1560/899,6649/3428 is 1/3081772

Least Common Multiple of 899,3428 with GCF Formula

Least Common Multiple of 899,3428 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 899,3428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(899,3428) = 1

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

GCF(899,3428) x common factors =1 x 1 = 1

LCM(899,3428) = ( 899 × 3428 ) / 1

LCM(899,3428) = 3081772 / 1

LCM(899,3428) = 3081772


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 1560/899, 6649/3428

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 1560/899, 6649/3428?

Answer: GCF of Numerators as per given numbers 1560/899, 6649/3428 is

GCF of Numerators i.e. for 1560,6649 is 1

LCM of denominators i.e. for 899,3428 is 3081772.

Thus, GCF of Fractions is 1/3081772.Finally, GCF of Fractions for 1560/899, 6649/3428 is 1/3081772.