Greatest Common Factor of 1735/42, 1494/421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1735/42, 1494/421

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 1735/42,1494/421

Given fractions are 1735/42,1494/421

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 1735,1494

Greatest Common Factor of Numerators i.e. GCF of 1735,1494 is 1 .

LCM of Denominators means LCM of 42,421 as per the given fractions.

LCM of 42,421 is 17682 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1735,1494

GCF of Fractions 1735/42,1494/421 is 1/17682

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

Greatest Common Factor of 1735,1494 By Matching Biggest Common Factor Method

Greatest Common Factor of 1735,1494 By Matching Biggest Common Factor Method

Factors of 1735

List of positive integer factors of 1735 that divides 1735 without a remainder.

1,5,347,1735

Factors of 1494

List of positive integer factors of 1494 that divides 1494 without a remainder.

1,2,3,6,9,18,83,166,249,498,747,1494

Greatest Common Factor

We found the factors 1735,1494 . The biggest common factor number is the GCF number.
So the greatest common factor 1735,1494 is 1.

Lets's calculate LCM of 42,421

Given numbers has no common factors except 1. So, there LCM is their product i.e 17682

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17682

Therefore, the GCF of Fractions 1735/42,1494/421 is 1/17682

Least Common Multiple of 42,421 with GCF Formula

Least Common Multiple of 42,421 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 42,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,421) = 1

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

GCF(42,421) x common factors =1 x 1 = 1

LCM(42,421) = ( 42 × 421 ) / 1

LCM(42,421) = 17682 / 1

LCM(42,421) = 17682


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 1735/42, 1494/421

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 1735/42, 1494/421?

Answer: GCF of Numerators as per given numbers 1735/42, 1494/421 is

GCF of Numerators i.e. for 1735,1494 is 1

LCM of denominators i.e. for 42,421 is 17682.

Thus, GCF of Fractions is 1/17682.Finally, GCF of Fractions for 1735/42, 1494/421 is 1/17682.