Greatest Common Factor of 8995/514, 1503/9200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8995/514, 1503/9200

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 8995/514,1503/9200

Given fractions are 8995/514,1503/9200

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 8995,1503

Greatest Common Factor of Numerators i.e. GCF of 8995,1503 is 1 .

LCM of Denominators means LCM of 514,9200 as per the given fractions.

LCM of 514,9200 is 2364400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8995,1503

GCF of Fractions 8995/514,1503/9200 is 1/2364400

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8995,1503 By Matching Biggest Common Factor Method

Greatest Common Factor of 8995,1503 By Matching Biggest Common Factor Method

Factors of 8995

List of positive integer factors of 8995 that divides 8995 without a remainder.

1,5,7,35,257,1285,1799,8995

Factors of 1503

List of positive integer factors of 1503 that divides 1503 without a remainder.

1,3,9,167,501,1503

Greatest Common Factor

We found the factors 8995,1503 . The biggest common factor number is the GCF number.
So the greatest common factor 8995,1503 is 1.

Lets's calculate LCM of 514,9200

2 514, 9200
257, 4600

∴ So the LCM of the given numbers is 2 x 257 x 4600 = 2364400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2364400

Therefore, the GCF of Fractions 8995/514,1503/9200 is 1/2364400

Least Common Multiple of 514,9200 with GCF Formula

Least Common Multiple of 514,9200 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 514,9200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,9200) = 2

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

GCF(514,9200) x common factors =2 x 1 = 2

LCM(514,9200) = ( 514 × 9200 ) / 2

LCM(514,9200) = 4728800 / 2

LCM(514,9200) = 2364400


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 8995/514, 1503/9200

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 8995/514, 1503/9200?

Answer: GCF of Numerators as per given numbers 8995/514, 1503/9200 is

GCF of Numerators i.e. for 8995,1503 is 1

LCM of denominators i.e. for 514,9200 is 2364400.

Thus, GCF of Fractions is 1/2364400.Finally, GCF of Fractions for 8995/514, 1503/9200 is 1/2364400.