Greatest Common Factor of 3522/87, 7290/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3522/87, 7290/994

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 3522/87,7290/994

Given fractions are 3522/87,7290/994

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 3522,7290

Greatest Common Factor of Numerators i.e. GCF of 3522,7290 is 6 .

LCM of Denominators means LCM of 87,994 as per the given fractions.

LCM of 87,994 is 86478 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3522,7290

GCF of Fractions 3522/87,7290/994 is 6/86478

2 3522, 7290
3 1761, 3645
587, 1215

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

Greatest Common Factor of 3522,7290 By Matching Biggest Common Factor Method

Greatest Common Factor of 3522,7290 By Matching Biggest Common Factor Method

Factors of 3522

List of positive integer factors of 3522 that divides 3522 without a remainder.

1,2,3,6,587,1174,1761,3522

Factors of 7290

List of positive integer factors of 7290 that divides 7290 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,243,270,405,486,729,810,1215,1458,2430,3645,7290

Greatest Common Factor

We found the factors 3522,7290 . The biggest common factor number is the GCF number.
So the greatest common factor 3522,7290 is 6.

Lets's calculate LCM of 87,994

Given numbers has no common factors except 1. So, there LCM is their product i.e 86478

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/86478

Therefore, the GCF of Fractions 3522/87,7290/994 is 6/86478

Least Common Multiple of 87,994 with GCF Formula

Least Common Multiple of 87,994 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 87,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,994) = 1

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

GCF(87,994) x common factors =1 x 1 = 1

LCM(87,994) = ( 87 × 994 ) / 1

LCM(87,994) = 86478 / 1

LCM(87,994) = 86478


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 3522/87, 7290/994

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 3522/87, 7290/994?

Answer: GCF of Numerators as per given numbers 3522/87, 7290/994 is

GCF of Numerators i.e. for 3522,7290 is 6

LCM of denominators i.e. for 87,994 is 86478.

Thus, GCF of Fractions is 6/86478.Finally, GCF of Fractions for 3522/87, 7290/994 is 6/86478.