Greatest Common Factor of 2370/385, 9429/6218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2370/385, 9429/6218

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 2370/385,9429/6218

Given fractions are 2370/385,9429/6218

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 2370,9429

Greatest Common Factor of Numerators i.e. GCF of 2370,9429 is 3 .

LCM of Denominators means LCM of 385,6218 as per the given fractions.

LCM of 385,6218 is 2393930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2370,9429

GCF of Fractions 2370/385,9429/6218 is 3/2393930

3 2370, 9429
790, 3143

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 2370,9429 By Matching Biggest Common Factor Method

Greatest Common Factor of 2370,9429 By Matching Biggest Common Factor Method

Factors of 2370

List of positive integer factors of 2370 that divides 2370 without a remainder.

1,2,3,5,6,10,15,30,79,158,237,395,474,790,1185,2370

Factors of 9429

List of positive integer factors of 9429 that divides 9429 without a remainder.

1,3,7,21,449,1347,3143,9429

Greatest Common Factor

We found the factors 2370,9429 . The biggest common factor number is the GCF number.
So the greatest common factor 2370,9429 is 3.

Lets's calculate LCM of 385,6218

Given numbers has no common factors except 1. So, there LCM is their product i.e 2393930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2393930

Therefore, the GCF of Fractions 2370/385,9429/6218 is 3/2393930

Least Common Multiple of 385,6218 with GCF Formula

Least Common Multiple of 385,6218 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 385,6218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(385,6218) = 1

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

GCF(385,6218) x common factors =1 x 1 = 1

LCM(385,6218) = ( 385 × 6218 ) / 1

LCM(385,6218) = 2393930 / 1

LCM(385,6218) = 2393930


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 2370/385, 9429/6218

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 2370/385, 9429/6218?

Answer: GCF of Numerators as per given numbers 2370/385, 9429/6218 is

GCF of Numerators i.e. for 2370,9429 is 3

LCM of denominators i.e. for 385,6218 is 2393930.

Thus, GCF of Fractions is 3/2393930.Finally, GCF of Fractions for 2370/385, 9429/6218 is 3/2393930.