Greatest Common Factor of 5636/525, 8162/9586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5636/525, 8162/9586

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 5636/525,8162/9586

Given fractions are 5636/525,8162/9586

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 5636,8162

Greatest Common Factor of Numerators i.e. GCF of 5636,8162 is 2 .

LCM of Denominators means LCM of 525,9586 as per the given fractions.

LCM of 525,9586 is 5032650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5636,8162

GCF of Fractions 5636/525,8162/9586 is 2/5032650

2 5636, 8162
2818, 4081

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

Greatest Common Factor of 5636,8162 By Matching Biggest Common Factor Method

Greatest Common Factor of 5636,8162 By Matching Biggest Common Factor Method

Factors of 5636

List of positive integer factors of 5636 that divides 5636 without a remainder.

1,2,4,1409,2818,5636

Factors of 8162

List of positive integer factors of 8162 that divides 8162 without a remainder.

1,2,7,11,14,22,53,77,106,154,371,583,742,1166,4081,8162

Greatest Common Factor

We found the factors 5636,8162 . The biggest common factor number is the GCF number.
So the greatest common factor 5636,8162 is 2.

Lets's calculate LCM of 525,9586

Given numbers has no common factors except 1. So, there LCM is their product i.e 5032650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5032650

Therefore, the GCF of Fractions 5636/525,8162/9586 is 2/5032650

Least Common Multiple of 525,9586 with GCF Formula

Least Common Multiple of 525,9586 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 525,9586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(525,9586) = 1

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

GCF(525,9586) x common factors =1 x 1 = 1

LCM(525,9586) = ( 525 × 9586 ) / 1

LCM(525,9586) = 5032650 / 1

LCM(525,9586) = 5032650


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 5636/525, 8162/9586

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 5636/525, 8162/9586?

Answer: GCF of Numerators as per given numbers 5636/525, 8162/9586 is

GCF of Numerators i.e. for 5636,8162 is 2

LCM of denominators i.e. for 525,9586 is 5032650.

Thus, GCF of Fractions is 2/5032650.Finally, GCF of Fractions for 5636/525, 8162/9586 is 2/5032650.