Greatest Common Factor of 1798/645, 5552/4503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1798/645, 5552/4503

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 1798/645,5552/4503

Given fractions are 1798/645,5552/4503

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 1798,5552

Greatest Common Factor of Numerators i.e. GCF of 1798,5552 is 2 .

LCM of Denominators means LCM of 645,4503 as per the given fractions.

LCM of 645,4503 is 968145 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1798,5552

GCF of Fractions 1798/645,5552/4503 is 2/968145

2 1798, 5552
899, 2776

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

Greatest Common Factor of 1798,5552 By Matching Biggest Common Factor Method

Greatest Common Factor of 1798,5552 By Matching Biggest Common Factor Method

Factors of 1798

List of positive integer factors of 1798 that divides 1798 without a remainder.

1,2,29,31,58,62,899,1798

Factors of 5552

List of positive integer factors of 5552 that divides 5552 without a remainder.

1,2,4,8,16,347,694,1388,2776,5552

Greatest Common Factor

We found the factors 1798,5552 . The biggest common factor number is the GCF number.
So the greatest common factor 1798,5552 is 2.

Lets's calculate LCM of 645,4503

3 645, 4503
215, 1501

∴ So the LCM of the given numbers is 3 x 215 x 1501 = 968145

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/968145

Therefore, the GCF of Fractions 1798/645,5552/4503 is 2/968145

Least Common Multiple of 645,4503 with GCF Formula

Least Common Multiple of 645,4503 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 645,4503 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(645,4503) = 3

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

GCF(645,4503) x common factors =3 x 1 = 3

LCM(645,4503) = ( 645 × 4503 ) / 3

LCM(645,4503) = 2904435 / 3

LCM(645,4503) = 968145


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 1798/645, 5552/4503

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 1798/645, 5552/4503?

Answer: GCF of Numerators as per given numbers 1798/645, 5552/4503 is

GCF of Numerators i.e. for 1798,5552 is 2

LCM of denominators i.e. for 645,4503 is 968145.

Thus, GCF of Fractions is 2/968145.Finally, GCF of Fractions for 1798/645, 5552/4503 is 2/968145.