Greatest Common Factor of 5832/358, 9070/3486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5832/358, 9070/3486

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 5832/358,9070/3486

Given fractions are 5832/358,9070/3486

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 5832,9070

Greatest Common Factor of Numerators i.e. GCF of 5832,9070 is 2 .

LCM of Denominators means LCM of 358,3486 as per the given fractions.

LCM of 358,3486 is 623994 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5832,9070

GCF of Fractions 5832/358,9070/3486 is 2/623994

2 5832, 9070
2916, 4535

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

Greatest Common Factor of 5832,9070 By Matching Biggest Common Factor Method

Greatest Common Factor of 5832,9070 By Matching Biggest Common Factor Method

Factors of 5832

List of positive integer factors of 5832 that divides 5832 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,243,324,486,648,729,972,1458,1944,2916,5832

Factors of 9070

List of positive integer factors of 9070 that divides 9070 without a remainder.

1,2,5,10,907,1814,4535,9070

Greatest Common Factor

We found the factors 5832,9070 . The biggest common factor number is the GCF number.
So the greatest common factor 5832,9070 is 2.

Lets's calculate LCM of 358,3486

2 358, 3486
179, 1743

∴ So the LCM of the given numbers is 2 x 179 x 1743 = 623994

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/623994

Therefore, the GCF of Fractions 5832/358,9070/3486 is 2/623994

Least Common Multiple of 358,3486 with GCF Formula

Least Common Multiple of 358,3486 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 358,3486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(358,3486) = 2

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

GCF(358,3486) x common factors =2 x 1 = 2

LCM(358,3486) = ( 358 × 3486 ) / 2

LCM(358,3486) = 1247988 / 2

LCM(358,3486) = 623994


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 5832/358, 9070/3486

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 5832/358, 9070/3486?

Answer: GCF of Numerators as per given numbers 5832/358, 9070/3486 is

GCF of Numerators i.e. for 5832,9070 is 2

LCM of denominators i.e. for 358,3486 is 623994.

Thus, GCF of Fractions is 2/623994.Finally, GCF of Fractions for 5832/358, 9070/3486 is 2/623994.