Greatest Common Factor of 9350/963, 2130/1790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9350/963, 2130/1790

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 9350/963,2130/1790

Given fractions are 9350/963,2130/1790

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 9350,2130

Greatest Common Factor of Numerators i.e. GCF of 9350,2130 is 10 .

LCM of Denominators means LCM of 963,1790 as per the given fractions.

LCM of 963,1790 is 1723770 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9350,2130

GCF of Fractions 9350/963,2130/1790 is 10/1723770

2 9350, 2130
5 4675, 1065
935, 213

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 9350,2130 By Matching Biggest Common Factor Method

Greatest Common Factor of 9350,2130 By Matching Biggest Common Factor Method

Factors of 9350

List of positive integer factors of 9350 that divides 9350 without a remainder.

1,2,5,10,11,17,22,25,34,50,55,85,110,170,187,275,374,425,550,850,935,1870,4675,9350

Factors of 2130

List of positive integer factors of 2130 that divides 2130 without a remainder.

1,2,3,5,6,10,15,30,71,142,213,355,426,710,1065,2130

Greatest Common Factor

We found the factors 9350,2130 . The biggest common factor number is the GCF number.
So the greatest common factor 9350,2130 is 10.

Lets's calculate LCM of 963,1790

Given numbers has no common factors except 1. So, there LCM is their product i.e 1723770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1723770

Therefore, the GCF of Fractions 9350/963,2130/1790 is 10/1723770

Least Common Multiple of 963,1790 with GCF Formula

Least Common Multiple of 963,1790 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 963,1790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(963,1790) = 1

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

GCF(963,1790) x common factors =1 x 1 = 1

LCM(963,1790) = ( 963 × 1790 ) / 1

LCM(963,1790) = 1723770 / 1

LCM(963,1790) = 1723770


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 9350/963, 2130/1790

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 9350/963, 2130/1790?

Answer: GCF of Numerators as per given numbers 9350/963, 2130/1790 is

GCF of Numerators i.e. for 9350,2130 is 10

LCM of denominators i.e. for 963,1790 is 1723770.

Thus, GCF of Fractions is 10/1723770.Finally, GCF of Fractions for 9350/963, 2130/1790 is 10/1723770.