Greatest Common Factor of 5874/17, 2507/503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5874/17, 2507/503

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 5874/17,2507/503

Given fractions are 5874/17,2507/503

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 5874,2507

Greatest Common Factor of Numerators i.e. GCF of 5874,2507 is 1 .

LCM of Denominators means LCM of 17,503 as per the given fractions.

LCM of 17,503 is 8551 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5874,2507

GCF of Fractions 5874/17,2507/503 is 1/8551

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

Greatest Common Factor of 5874,2507 By Matching Biggest Common Factor Method

Greatest Common Factor of 5874,2507 By Matching Biggest Common Factor Method

Factors of 5874

List of positive integer factors of 5874 that divides 5874 without a remainder.

1,2,3,6,11,22,33,66,89,178,267,534,979,1958,2937,5874

Factors of 2507

List of positive integer factors of 2507 that divides 2507 without a remainder.

1,23,109,2507

Greatest Common Factor

We found the factors 5874,2507 . The biggest common factor number is the GCF number.
So the greatest common factor 5874,2507 is 1.

Lets's calculate LCM of 17,503

Given numbers has no common factors except 1. So, there LCM is their product i.e 8551

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8551

Therefore, the GCF of Fractions 5874/17,2507/503 is 1/8551

Least Common Multiple of 17,503 with GCF Formula

Least Common Multiple of 17,503 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 17,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,503) = 1

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

GCF(17,503) x common factors =1 x 1 = 1

LCM(17,503) = ( 17 × 503 ) / 1

LCM(17,503) = 8551 / 1

LCM(17,503) = 8551


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 5874/17, 2507/503

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 5874/17, 2507/503?

Answer: GCF of Numerators as per given numbers 5874/17, 2507/503 is

GCF of Numerators i.e. for 5874,2507 is 1

LCM of denominators i.e. for 17,503 is 8551.

Thus, GCF of Fractions is 1/8551.Finally, GCF of Fractions for 5874/17, 2507/503 is 1/8551.