Greatest Common Factor of 1620/795, 2935/874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1620/795, 2935/874

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 1620/795,2935/874

Given fractions are 1620/795,2935/874

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 1620,2935

Greatest Common Factor of Numerators i.e. GCF of 1620,2935 is 5 .

LCM of Denominators means LCM of 795,874 as per the given fractions.

LCM of 795,874 is 694830 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1620,2935

GCF of Fractions 1620/795,2935/874 is 5/694830

5 1620, 2935
324, 587

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 1620,2935 By Matching Biggest Common Factor Method

Greatest Common Factor of 1620,2935 By Matching Biggest Common Factor Method

Factors of 1620

List of positive integer factors of 1620 that divides 1620 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,81,90,108,135,162,180,270,324,405,540,810,1620

Factors of 2935

List of positive integer factors of 2935 that divides 2935 without a remainder.

1,5,587,2935

Greatest Common Factor

We found the factors 1620,2935 . The biggest common factor number is the GCF number.
So the greatest common factor 1620,2935 is 5.

Lets's calculate LCM of 795,874

Given numbers has no common factors except 1. So, there LCM is their product i.e 694830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/694830

Therefore, the GCF of Fractions 1620/795,2935/874 is 5/694830

Least Common Multiple of 795,874 with GCF Formula

Least Common Multiple of 795,874 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 795,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(795,874) = 1

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

GCF(795,874) x common factors =1 x 1 = 1

LCM(795,874) = ( 795 × 874 ) / 1

LCM(795,874) = 694830 / 1

LCM(795,874) = 694830


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 1620/795, 2935/874

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 1620/795, 2935/874?

Answer: GCF of Numerators as per given numbers 1620/795, 2935/874 is

GCF of Numerators i.e. for 1620,2935 is 5

LCM of denominators i.e. for 795,874 is 694830.

Thus, GCF of Fractions is 5/694830.Finally, GCF of Fractions for 1620/795, 2935/874 is 5/694830.