Greatest Common Factor of 1698/502, 9790/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1698/502, 9790/458

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 1698/502,9790/458

Given fractions are 1698/502,9790/458

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 1698,9790

Greatest Common Factor of Numerators i.e. GCF of 1698,9790 is 2 .

LCM of Denominators means LCM of 502,458 as per the given fractions.

LCM of 502,458 is 114958 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1698,9790

GCF of Fractions 1698/502,9790/458 is 2/114958

2 1698, 9790
849, 4895

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

Greatest Common Factor of 1698,9790 By Matching Biggest Common Factor Method

Greatest Common Factor of 1698,9790 By Matching Biggest Common Factor Method

Factors of 1698

List of positive integer factors of 1698 that divides 1698 without a remainder.

1,2,3,6,283,566,849,1698

Factors of 9790

List of positive integer factors of 9790 that divides 9790 without a remainder.

1,2,5,10,11,22,55,89,110,178,445,890,979,1958,4895,9790

Greatest Common Factor

We found the factors 1698,9790 . The biggest common factor number is the GCF number.
So the greatest common factor 1698,9790 is 2.

Lets's calculate LCM of 502,458

2 502, 458
251, 229

∴ So the LCM of the given numbers is 2 x 251 x 229 = 114958

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/114958

Therefore, the GCF of Fractions 1698/502,9790/458 is 2/114958

Least Common Multiple of 502,458 with GCF Formula

Least Common Multiple of 502,458 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 502,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(502,458) = 2

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

GCF(502,458) x common factors =2 x 1 = 2

LCM(502,458) = ( 502 × 458 ) / 2

LCM(502,458) = 229916 / 2

LCM(502,458) = 114958


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 1698/502, 9790/458

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 1698/502, 9790/458?

Answer: GCF of Numerators as per given numbers 1698/502, 9790/458 is

GCF of Numerators i.e. for 1698,9790 is 2

LCM of denominators i.e. for 502,458 is 114958.

Thus, GCF of Fractions is 2/114958.Finally, GCF of Fractions for 1698/502, 9790/458 is 2/114958.