Greatest Common Factor of 6090/835, 1738/8625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6090/835, 1738/8625

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 6090/835,1738/8625

Given fractions are 6090/835,1738/8625

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 6090,1738

Greatest Common Factor of Numerators i.e. GCF of 6090,1738 is 2 .

LCM of Denominators means LCM of 835,8625 as per the given fractions.

LCM of 835,8625 is 1440375 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6090,1738

GCF of Fractions 6090/835,1738/8625 is 2/1440375

2 6090, 1738
3045, 869

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6090,1738 By Matching Biggest Common Factor Method

Greatest Common Factor of 6090,1738 By Matching Biggest Common Factor Method

Factors of 6090

List of positive integer factors of 6090 that divides 6090 without a remainder.

1,2,3,5,6,7,10,14,15,21,29,30,35,42,58,70,87,105,145,174,203,210,290,406,435,609,870,1015,1218,2030,3045,6090

Factors of 1738

List of positive integer factors of 1738 that divides 1738 without a remainder.

1,2,11,22,79,158,869,1738

Greatest Common Factor

We found the factors 6090,1738 . The biggest common factor number is the GCF number.
So the greatest common factor 6090,1738 is 2.

Lets's calculate LCM of 835,8625

5 835, 8625
167, 1725

∴ So the LCM of the given numbers is 5 x 167 x 1725 = 1440375

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1440375

Therefore, the GCF of Fractions 6090/835,1738/8625 is 2/1440375

Least Common Multiple of 835,8625 with GCF Formula

Least Common Multiple of 835,8625 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 835,8625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(835,8625) = 5

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

GCF(835,8625) x common factors =5 x 1 = 5

LCM(835,8625) = ( 835 × 8625 ) / 5

LCM(835,8625) = 7201875 / 5

LCM(835,8625) = 1440375


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 6090/835, 1738/8625

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 6090/835, 1738/8625?

Answer: GCF of Numerators as per given numbers 6090/835, 1738/8625 is

GCF of Numerators i.e. for 6090,1738 is 2

LCM of denominators i.e. for 835,8625 is 1440375.

Thus, GCF of Fractions is 2/1440375.Finally, GCF of Fractions for 6090/835, 1738/8625 is 2/1440375.