Greatest Common Factor of 1903/924, 5499/9200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1903/924, 5499/9200

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 1903/924,5499/9200

Given fractions are 1903/924,5499/9200

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 1903,5499

Greatest Common Factor of Numerators i.e. GCF of 1903,5499 is 1 .

LCM of Denominators means LCM of 924,9200 as per the given fractions.

LCM of 924,9200 is 2125200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1903,5499

GCF of Fractions 1903/924,5499/9200 is 1/2125200

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

Greatest Common Factor of 1903,5499 By Matching Biggest Common Factor Method

Greatest Common Factor of 1903,5499 By Matching Biggest Common Factor Method

Factors of 1903

List of positive integer factors of 1903 that divides 1903 without a remainder.

1,11,173,1903

Factors of 5499

List of positive integer factors of 5499 that divides 5499 without a remainder.

1,3,9,13,39,47,117,141,423,611,1833,5499

Greatest Common Factor

We found the factors 1903,5499 . The biggest common factor number is the GCF number.
So the greatest common factor 1903,5499 is 1.

Lets's calculate LCM of 924,9200

2 924, 9200
2 462, 4600
231, 2300

∴ So the LCM of the given numbers is 2 x 2 x 231 x 2300 = 2125200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2125200

Therefore, the GCF of Fractions 1903/924,5499/9200 is 1/2125200

Least Common Multiple of 924,9200 with GCF Formula

Least Common Multiple of 924,9200 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 924,9200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(924,9200) = 4

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

GCF(924,9200) x common factors =4 x 1 = 4

LCM(924,9200) = ( 924 × 9200 ) / 4

LCM(924,9200) = 8500800 / 4

LCM(924,9200) = 2125200


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 1903/924, 5499/9200

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 1903/924, 5499/9200?

Answer: GCF of Numerators as per given numbers 1903/924, 5499/9200 is

GCF of Numerators i.e. for 1903,5499 is 1

LCM of denominators i.e. for 924,9200 is 2125200.

Thus, GCF of Fractions is 1/2125200.Finally, GCF of Fractions for 1903/924, 5499/9200 is 1/2125200.