Greatest Common Factor of 1700/61, 2180/931

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1700/61, 2180/931

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 1700/61,2180/931

Given fractions are 1700/61,2180/931

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 1700,2180

Greatest Common Factor of Numerators i.e. GCF of 1700,2180 is 20 .

LCM of Denominators means LCM of 61,931 as per the given fractions.

LCM of 61,931 is 56791 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1700,2180

GCF of Fractions 1700/61,2180/931 is 20/56791

2 1700, 2180
2 850, 1090
5 425, 545
85, 109

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 1700,2180 By Matching Biggest Common Factor Method

Greatest Common Factor of 1700,2180 By Matching Biggest Common Factor Method

Factors of 1700

List of positive integer factors of 1700 that divides 1700 without a remainder.

1,2,4,5,10,17,20,25,34,50,68,85,100,170,340,425,850,1700

Factors of 2180

List of positive integer factors of 2180 that divides 2180 without a remainder.

1,2,4,5,10,20,109,218,436,545,1090,2180

Greatest Common Factor

We found the factors 1700,2180 . The biggest common factor number is the GCF number.
So the greatest common factor 1700,2180 is 20.

Lets's calculate LCM of 61,931

Given numbers has no common factors except 1. So, there LCM is their product i.e 56791

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/56791

Therefore, the GCF of Fractions 1700/61,2180/931 is 20/56791

Least Common Multiple of 61,931 with GCF Formula

Least Common Multiple of 61,931 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 61,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,931) = 1

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

GCF(61,931) x common factors =1 x 1 = 1

LCM(61,931) = ( 61 × 931 ) / 1

LCM(61,931) = 56791 / 1

LCM(61,931) = 56791


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 1700/61, 2180/931

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 1700/61, 2180/931?

Answer: GCF of Numerators as per given numbers 1700/61, 2180/931 is

GCF of Numerators i.e. for 1700,2180 is 20

LCM of denominators i.e. for 61,931 is 56791.

Thus, GCF of Fractions is 20/56791.Finally, GCF of Fractions for 1700/61, 2180/931 is 20/56791.