Greatest Common Factor of 8698/983, 5200/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8698/983, 5200/460

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 8698/983,5200/460

Given fractions are 8698/983,5200/460

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 8698,5200

Greatest Common Factor of Numerators i.e. GCF of 8698,5200 is 2 .

LCM of Denominators means LCM of 983,460 as per the given fractions.

LCM of 983,460 is 452180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8698,5200

GCF of Fractions 8698/983,5200/460 is 2/452180

2 8698, 5200
4349, 2600

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

Greatest Common Factor of 8698,5200 By Matching Biggest Common Factor Method

Greatest Common Factor of 8698,5200 By Matching Biggest Common Factor Method

Factors of 8698

List of positive integer factors of 8698 that divides 8698 without a remainder.

1,2,4349,8698

Factors of 5200

List of positive integer factors of 5200 that divides 5200 without a remainder.

1,2,4,5,8,10,13,16,20,25,26,40,50,52,65,80,100,104,130,200,208,260,325,400,520,650,1040,1300,2600,5200

Greatest Common Factor

We found the factors 8698,5200 . The biggest common factor number is the GCF number.
So the greatest common factor 8698,5200 is 2.

Lets's calculate LCM of 983,460

Given numbers has no common factors except 1. So, there LCM is their product i.e 452180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/452180

Therefore, the GCF of Fractions 8698/983,5200/460 is 2/452180

Least Common Multiple of 983,460 with GCF Formula

Least Common Multiple of 983,460 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 983,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(983,460) = 1

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

GCF(983,460) x common factors =1 x 1 = 1

LCM(983,460) = ( 983 × 460 ) / 1

LCM(983,460) = 452180 / 1

LCM(983,460) = 452180


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 8698/983, 5200/460

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 8698/983, 5200/460?

Answer: GCF of Numerators as per given numbers 8698/983, 5200/460 is

GCF of Numerators i.e. for 8698,5200 is 2

LCM of denominators i.e. for 983,460 is 452180.

Thus, GCF of Fractions is 2/452180.Finally, GCF of Fractions for 8698/983, 5200/460 is 2/452180.