Greatest Common Factor of 1793/698, 8458/954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1793/698, 8458/954

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 1793/698,8458/954

Given fractions are 1793/698,8458/954

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 1793,8458

Greatest Common Factor of Numerators i.e. GCF of 1793,8458 is 1 .

LCM of Denominators means LCM of 698,954 as per the given fractions.

LCM of 698,954 is 332946 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1793,8458

GCF of Fractions 1793/698,8458/954 is 1/332946

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

Greatest Common Factor of 1793,8458 By Matching Biggest Common Factor Method

Greatest Common Factor of 1793,8458 By Matching Biggest Common Factor Method

Factors of 1793

List of positive integer factors of 1793 that divides 1793 without a remainder.

1,11,163,1793

Factors of 8458

List of positive integer factors of 8458 that divides 8458 without a remainder.

1,2,4229,8458

Greatest Common Factor

We found the factors 1793,8458 . The biggest common factor number is the GCF number.
So the greatest common factor 1793,8458 is 1.

Lets's calculate LCM of 698,954

2 698, 954
349, 477

∴ So the LCM of the given numbers is 2 x 349 x 477 = 332946

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/332946

Therefore, the GCF of Fractions 1793/698,8458/954 is 1/332946

Least Common Multiple of 698,954 with GCF Formula

Least Common Multiple of 698,954 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 698,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(698,954) = 2

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

GCF(698,954) x common factors =2 x 1 = 2

LCM(698,954) = ( 698 × 954 ) / 2

LCM(698,954) = 665892 / 2

LCM(698,954) = 332946


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 1793/698, 8458/954

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 1793/698, 8458/954?

Answer: GCF of Numerators as per given numbers 1793/698, 8458/954 is

GCF of Numerators i.e. for 1793,8458 is 1

LCM of denominators i.e. for 698,954 is 332946.

Thus, GCF of Fractions is 1/332946.Finally, GCF of Fractions for 1793/698, 8458/954 is 1/332946.