Greatest Common Factor of 8450/689, 9554/1599

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8450/689, 9554/1599

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 8450/689,9554/1599

Given fractions are 8450/689,9554/1599

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 8450,9554

Greatest Common Factor of Numerators i.e. GCF of 8450,9554 is 2 .

LCM of Denominators means LCM of 689,1599 as per the given fractions.

LCM of 689,1599 is 84747 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8450,9554

GCF of Fractions 8450/689,9554/1599 is 2/84747

2 8450, 9554
4225, 4777

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

Greatest Common Factor of 8450,9554 By Matching Biggest Common Factor Method

Greatest Common Factor of 8450,9554 By Matching Biggest Common Factor Method

Factors of 8450

List of positive integer factors of 8450 that divides 8450 without a remainder.

1,2,5,10,13,25,26,50,65,130,169,325,338,650,845,1690,4225,8450

Factors of 9554

List of positive integer factors of 9554 that divides 9554 without a remainder.

1,2,17,34,281,562,4777,9554

Greatest Common Factor

We found the factors 8450,9554 . The biggest common factor number is the GCF number.
So the greatest common factor 8450,9554 is 2.

Lets's calculate LCM of 689,1599

13 689, 1599
53, 123

∴ So the LCM of the given numbers is 13 x 53 x 123 = 84747

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/84747

Therefore, the GCF of Fractions 8450/689,9554/1599 is 2/84747

Least Common Multiple of 689,1599 with GCF Formula

Least Common Multiple of 689,1599 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 689,1599 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,1599) = 13

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

GCF(689,1599) x common factors =13 x 1 = 13

LCM(689,1599) = ( 689 × 1599 ) / 13

LCM(689,1599) = 1101711 / 13

LCM(689,1599) = 84747


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 8450/689, 9554/1599

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 8450/689, 9554/1599?

Answer: GCF of Numerators as per given numbers 8450/689, 9554/1599 is

GCF of Numerators i.e. for 8450,9554 is 2

LCM of denominators i.e. for 689,1599 is 84747.

Thus, GCF of Fractions is 2/84747.Finally, GCF of Fractions for 8450/689, 9554/1599 is 2/84747.