Greatest Common Factor of 3616/524, 9820/9064

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3616/524, 9820/9064

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 3616/524,9820/9064

Given fractions are 3616/524,9820/9064

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 3616,9820

Greatest Common Factor of Numerators i.e. GCF of 3616,9820 is 4 .

LCM of Denominators means LCM of 524,9064 as per the given fractions.

LCM of 524,9064 is 1187384 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3616,9820

GCF of Fractions 3616/524,9820/9064 is 4/1187384

2 3616, 9820
2 1808, 4910
904, 2455

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3616,9820 By Matching Biggest Common Factor Method

Greatest Common Factor of 3616,9820 By Matching Biggest Common Factor Method

Factors of 3616

List of positive integer factors of 3616 that divides 3616 without a remainder.

1,2,4,8,16,32,113,226,452,904,1808,3616

Factors of 9820

List of positive integer factors of 9820 that divides 9820 without a remainder.

1,2,4,5,10,20,491,982,1964,2455,4910,9820

Greatest Common Factor

We found the factors 3616,9820 . The biggest common factor number is the GCF number.
So the greatest common factor 3616,9820 is 4.

Lets's calculate LCM of 524,9064

2 524, 9064
2 262, 4532
131, 2266

∴ So the LCM of the given numbers is 2 x 2 x 131 x 2266 = 1187384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1187384

Therefore, the GCF of Fractions 3616/524,9820/9064 is 4/1187384

Least Common Multiple of 524,9064 with GCF Formula

Least Common Multiple of 524,9064 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 524,9064 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(524,9064) = 4

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

GCF(524,9064) x common factors =4 x 1 = 4

LCM(524,9064) = ( 524 × 9064 ) / 4

LCM(524,9064) = 4749536 / 4

LCM(524,9064) = 1187384


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 3616/524, 9820/9064

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 3616/524, 9820/9064?

Answer: GCF of Numerators as per given numbers 3616/524, 9820/9064 is

GCF of Numerators i.e. for 3616,9820 is 4

LCM of denominators i.e. for 524,9064 is 1187384.

Thus, GCF of Fractions is 4/1187384.Finally, GCF of Fractions for 3616/524, 9820/9064 is 4/1187384.