Greatest Common Factor of 8322/43, 3058/788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8322/43, 3058/788

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 8322/43,3058/788

Given fractions are 8322/43,3058/788

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 8322,3058

Greatest Common Factor of Numerators i.e. GCF of 8322,3058 is 2 .

LCM of Denominators means LCM of 43,788 as per the given fractions.

LCM of 43,788 is 33884 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8322,3058

GCF of Fractions 8322/43,3058/788 is 2/33884

2 8322, 3058
4161, 1529

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

Greatest Common Factor of 8322,3058 By Matching Biggest Common Factor Method

Greatest Common Factor of 8322,3058 By Matching Biggest Common Factor Method

Factors of 8322

List of positive integer factors of 8322 that divides 8322 without a remainder.

1,2,3,6,19,38,57,73,114,146,219,438,1387,2774,4161,8322

Factors of 3058

List of positive integer factors of 3058 that divides 3058 without a remainder.

1,2,11,22,139,278,1529,3058

Greatest Common Factor

We found the factors 8322,3058 . The biggest common factor number is the GCF number.
So the greatest common factor 8322,3058 is 2.

Lets's calculate LCM of 43,788

Given numbers has no common factors except 1. So, there LCM is their product i.e 33884

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/33884

Therefore, the GCF of Fractions 8322/43,3058/788 is 2/33884

Least Common Multiple of 43,788 with GCF Formula

Least Common Multiple of 43,788 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 43,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,788) = 1

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

GCF(43,788) x common factors =1 x 1 = 1

LCM(43,788) = ( 43 × 788 ) / 1

LCM(43,788) = 33884 / 1

LCM(43,788) = 33884


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 8322/43, 3058/788

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 8322/43, 3058/788?

Answer: GCF of Numerators as per given numbers 8322/43, 3058/788 is

GCF of Numerators i.e. for 8322,3058 is 2

LCM of denominators i.e. for 43,788 is 33884.

Thus, GCF of Fractions is 2/33884.Finally, GCF of Fractions for 8322/43, 3058/788 is 2/33884.