Greatest Common Factor of 3626/90, 8288/523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3626/90, 8288/523

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 3626/90,8288/523

Given fractions are 3626/90,8288/523

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 3626,8288

Greatest Common Factor of Numerators i.e. GCF of 3626,8288 is 518 .

LCM of Denominators means LCM of 90,523 as per the given fractions.

LCM of 90,523 is 47070 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3626,8288

GCF of Fractions 3626/90,8288/523 is 518/47070

2 3626, 8288
7 1813, 4144
37 259, 592
7, 16

∴ So the GCF of the given numbers is 2 x 7 x 37 = 518

Greatest Common Factor of 3626,8288 By Matching Biggest Common Factor Method

Greatest Common Factor of 3626,8288 By Matching Biggest Common Factor Method

Factors of 3626

List of positive integer factors of 3626 that divides 3626 without a remainder.

1,2,7,14,37,49,74,98,259,518,1813,3626

Factors of 8288

List of positive integer factors of 8288 that divides 8288 without a remainder.

1,2,4,7,8,14,16,28,32,37,56,74,112,148,224,259,296,518,592,1036,1184,2072,4144,8288

Greatest Common Factor

We found the factors 3626,8288 . The biggest common factor number is the GCF number.
So the greatest common factor 3626,8288 is 518.

Lets's calculate LCM of 90,523

Given numbers has no common factors except 1. So, there LCM is their product i.e 47070

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 518/47070

Therefore, the GCF of Fractions 3626/90,8288/523 is 518/47070

Least Common Multiple of 90,523 with GCF Formula

Least Common Multiple of 90,523 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 90,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,523) = 1

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

GCF(90,523) x common factors =1 x 1 = 1

LCM(90,523) = ( 90 × 523 ) / 1

LCM(90,523) = 47070 / 1

LCM(90,523) = 47070


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 3626/90, 8288/523

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 3626/90, 8288/523?

Answer: GCF of Numerators as per given numbers 3626/90, 8288/523 is

GCF of Numerators i.e. for 3626,8288 is 518

LCM of denominators i.e. for 90,523 is 47070.

Thus, GCF of Fractions is 518/47070.Finally, GCF of Fractions for 3626/90, 8288/523 is 518/47070.