Greatest Common Factor of 4590/69, 2504/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4590/69, 2504/704

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 4590/69,2504/704

Given fractions are 4590/69,2504/704

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 4590,2504

Greatest Common Factor of Numerators i.e. GCF of 4590,2504 is 2 .

LCM of Denominators means LCM of 69,704 as per the given fractions.

LCM of 69,704 is 48576 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4590,2504

GCF of Fractions 4590/69,2504/704 is 2/48576

2 4590, 2504
2295, 1252

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

Greatest Common Factor of 4590,2504 By Matching Biggest Common Factor Method

Greatest Common Factor of 4590,2504 By Matching Biggest Common Factor Method

Factors of 4590

List of positive integer factors of 4590 that divides 4590 without a remainder.

1,2,3,5,6,9,10,15,17,18,27,30,34,45,51,54,85,90,102,135,153,170,255,270,306,459,510,765,918,1530,2295,4590

Factors of 2504

List of positive integer factors of 2504 that divides 2504 without a remainder.

1,2,4,8,313,626,1252,2504

Greatest Common Factor

We found the factors 4590,2504 . The biggest common factor number is the GCF number.
So the greatest common factor 4590,2504 is 2.

Lets's calculate LCM of 69,704

Given numbers has no common factors except 1. So, there LCM is their product i.e 48576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/48576

Therefore, the GCF of Fractions 4590/69,2504/704 is 2/48576

Least Common Multiple of 69,704 with GCF Formula

Least Common Multiple of 69,704 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 69,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,704) = 1

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

GCF(69,704) x common factors =1 x 1 = 1

LCM(69,704) = ( 69 × 704 ) / 1

LCM(69,704) = 48576 / 1

LCM(69,704) = 48576


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 4590/69, 2504/704

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 4590/69, 2504/704?

Answer: GCF of Numerators as per given numbers 4590/69, 2504/704 is

GCF of Numerators i.e. for 4590,2504 is 2

LCM of denominators i.e. for 69,704 is 48576.

Thus, GCF of Fractions is 2/48576.Finally, GCF of Fractions for 4590/69, 2504/704 is 2/48576.