Greatest Common Factor of 8280/44, 4386/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8280/44, 4386/682

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 8280/44,4386/682

Given fractions are 8280/44,4386/682

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 8280,4386

Greatest Common Factor of Numerators i.e. GCF of 8280,4386 is 6 .

LCM of Denominators means LCM of 44,682 as per the given fractions.

LCM of 44,682 is 1364 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8280,4386

GCF of Fractions 8280/44,4386/682 is 6/1364

2 8280, 4386
3 4140, 2193
1380, 731

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 8280,4386 By Matching Biggest Common Factor Method

Greatest Common Factor of 8280,4386 By Matching Biggest Common Factor Method

Factors of 8280

List of positive integer factors of 8280 that divides 8280 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,23,24,30,36,40,45,46,60,69,72,90,92,115,120,138,180,184,207,230,276,345,360,414,460,552,690,828,920,1035,1380,1656,2070,2760,4140,8280

Factors of 4386

List of positive integer factors of 4386 that divides 4386 without a remainder.

1,2,3,6,17,34,43,51,86,102,129,258,731,1462,2193,4386

Greatest Common Factor

We found the factors 8280,4386 . The biggest common factor number is the GCF number.
So the greatest common factor 8280,4386 is 6.

Lets's calculate LCM of 44,682

2 44, 682
11 22, 341
2, 31

∴ So the LCM of the given numbers is 2 x 11 x 2 x 31 = 1364

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1364

Therefore, the GCF of Fractions 8280/44,4386/682 is 6/1364

Least Common Multiple of 44,682 with GCF Formula

Least Common Multiple of 44,682 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 44,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,682) = 22

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

GCF(44,682) x common factors =22 x 1 = 22

LCM(44,682) = ( 44 × 682 ) / 22

LCM(44,682) = 30008 / 22

LCM(44,682) = 1364


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 8280/44, 4386/682

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 8280/44, 4386/682?

Answer: GCF of Numerators as per given numbers 8280/44, 4386/682 is

GCF of Numerators i.e. for 8280,4386 is 6

LCM of denominators i.e. for 44,682 is 1364.

Thus, GCF of Fractions is 6/1364.Finally, GCF of Fractions for 8280/44, 4386/682 is 6/1364.