Greatest Common Factor of 5426/944, 8280/5726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5426/944, 8280/5726

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 5426/944,8280/5726

Given fractions are 5426/944,8280/5726

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 5426,8280

Greatest Common Factor of Numerators i.e. GCF of 5426,8280 is 2 .

LCM of Denominators means LCM of 944,5726 as per the given fractions.

LCM of 944,5726 is 2702672 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5426,8280

GCF of Fractions 5426/944,8280/5726 is 2/2702672

2 5426, 8280
2713, 4140

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

Greatest Common Factor of 5426,8280 By Matching Biggest Common Factor Method

Greatest Common Factor of 5426,8280 By Matching Biggest Common Factor Method

Factors of 5426

List of positive integer factors of 5426 that divides 5426 without a remainder.

1,2,2713,5426

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

Greatest Common Factor

We found the factors 5426,8280 . The biggest common factor number is the GCF number.
So the greatest common factor 5426,8280 is 2.

Lets's calculate LCM of 944,5726

2 944, 5726
472, 2863

∴ So the LCM of the given numbers is 2 x 472 x 2863 = 2702672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2702672

Therefore, the GCF of Fractions 5426/944,8280/5726 is 2/2702672

Least Common Multiple of 944,5726 with GCF Formula

Least Common Multiple of 944,5726 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 944,5726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(944,5726) = 2

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

GCF(944,5726) x common factors =2 x 1 = 2

LCM(944,5726) = ( 944 × 5726 ) / 2

LCM(944,5726) = 5405344 / 2

LCM(944,5726) = 2702672


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 5426/944, 8280/5726

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 5426/944, 8280/5726?

Answer: GCF of Numerators as per given numbers 5426/944, 8280/5726 is

GCF of Numerators i.e. for 5426,8280 is 2

LCM of denominators i.e. for 944,5726 is 2702672.

Thus, GCF of Fractions is 2/2702672.Finally, GCF of Fractions for 5426/944, 8280/5726 is 2/2702672.