Greatest Common Factor of 5190/526, 9264/421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5190/526, 9264/421

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 5190/526,9264/421

Given fractions are 5190/526,9264/421

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 5190,9264

Greatest Common Factor of Numerators i.e. GCF of 5190,9264 is 6 .

LCM of Denominators means LCM of 526,421 as per the given fractions.

LCM of 526,421 is 221446 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5190,9264

GCF of Fractions 5190/526,9264/421 is 6/221446

2 5190, 9264
3 2595, 4632
865, 1544

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

Greatest Common Factor of 5190,9264 By Matching Biggest Common Factor Method

Greatest Common Factor of 5190,9264 By Matching Biggest Common Factor Method

Factors of 5190

List of positive integer factors of 5190 that divides 5190 without a remainder.

1,2,3,5,6,10,15,30,173,346,519,865,1038,1730,2595,5190

Factors of 9264

List of positive integer factors of 9264 that divides 9264 without a remainder.

1,2,3,4,6,8,12,16,24,48,193,386,579,772,1158,1544,2316,3088,4632,9264

Greatest Common Factor

We found the factors 5190,9264 . The biggest common factor number is the GCF number.
So the greatest common factor 5190,9264 is 6.

Lets's calculate LCM of 526,421

Given numbers has no common factors except 1. So, there LCM is their product i.e 221446

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/221446

Therefore, the GCF of Fractions 5190/526,9264/421 is 6/221446

Least Common Multiple of 526,421 with GCF Formula

Least Common Multiple of 526,421 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 526,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(526,421) = 1

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

GCF(526,421) x common factors =1 x 1 = 1

LCM(526,421) = ( 526 × 421 ) / 1

LCM(526,421) = 221446 / 1

LCM(526,421) = 221446


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 5190/526, 9264/421

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 5190/526, 9264/421?

Answer: GCF of Numerators as per given numbers 5190/526, 9264/421 is

GCF of Numerators i.e. for 5190,9264 is 6

LCM of denominators i.e. for 526,421 is 221446.

Thus, GCF of Fractions is 6/221446.Finally, GCF of Fractions for 5190/526, 9264/421 is 6/221446.