Greatest Common Factor of 9290/570, 6318/7385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9290/570, 6318/7385

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 9290/570,6318/7385

Given fractions are 9290/570,6318/7385

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 9290,6318

Greatest Common Factor of Numerators i.e. GCF of 9290,6318 is 2 .

LCM of Denominators means LCM of 570,7385 as per the given fractions.

LCM of 570,7385 is 841890 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9290,6318

GCF of Fractions 9290/570,6318/7385 is 2/841890

2 9290, 6318
4645, 3159

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

Greatest Common Factor of 9290,6318 By Matching Biggest Common Factor Method

Greatest Common Factor of 9290,6318 By Matching Biggest Common Factor Method

Factors of 9290

List of positive integer factors of 9290 that divides 9290 without a remainder.

1,2,5,10,929,1858,4645,9290

Factors of 6318

List of positive integer factors of 6318 that divides 6318 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,81,117,162,234,243,351,486,702,1053,2106,3159,6318

Greatest Common Factor

We found the factors 9290,6318 . The biggest common factor number is the GCF number.
So the greatest common factor 9290,6318 is 2.

Lets's calculate LCM of 570,7385

5 570, 7385
114, 1477

∴ So the LCM of the given numbers is 5 x 114 x 1477 = 841890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/841890

Therefore, the GCF of Fractions 9290/570,6318/7385 is 2/841890

Least Common Multiple of 570,7385 with GCF Formula

Least Common Multiple of 570,7385 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 570,7385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(570,7385) = 5

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

GCF(570,7385) x common factors =5 x 1 = 5

LCM(570,7385) = ( 570 × 7385 ) / 5

LCM(570,7385) = 4209450 / 5

LCM(570,7385) = 841890


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 9290/570, 6318/7385

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 9290/570, 6318/7385?

Answer: GCF of Numerators as per given numbers 9290/570, 6318/7385 is

GCF of Numerators i.e. for 9290,6318 is 2

LCM of denominators i.e. for 570,7385 is 841890.

Thus, GCF of Fractions is 2/841890.Finally, GCF of Fractions for 9290/570, 6318/7385 is 2/841890.