Greatest Common Factor of 420/78, 193/11, 691/497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 420/78, 193/11, 691/497

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 420/78,193/11,691/497

Given fractions are 420/78,193/11,691/497

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 420,193,691

Greatest Common Factor of Numerators i.e. GCF of 420,193,691 is 1 .

LCM of Denominators means LCM of 78,11,497 as per the given fractions.

LCM of 78,11,497 is 426426 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 420,193,691

GCF of Fractions 420/78,193/11,691/497 is 1/426426

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

Greatest Common Factor of 420,193,691 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,193,691 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 193

List of positive integer factors of 193 that divides 193 without a remainder.

1,193

Factors of 691

List of positive integer factors of 691 that divides 691 without a remainder.

1,691

Greatest Common Factor

We found the factors 420,193,691 . The biggest common factor number is the GCF number.
So the greatest common factor 420,193,691 is 1.

Lets's calculate LCM of 78,11,497

Given numbers has no common factors except 1. So, there LCM is their product i.e 426426

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/426426

Therefore, the GCF of Fractions 420/78,193/11,691/497 is 1/426426

Least Common Multiple of 78,11,497 with GCF Formula

Least Common Multiple of 78,11,497 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 78,11,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,11,497) = 1

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

GCF(78,11,497) x common factors =1 x 1 = 1

LCM(78,11,497) = ( 78 × 11 × 497 ) / 1

LCM(78,11,497) = 426426 / 1

LCM(78,11,497) = 426426


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 420/78, 193/11, 691/497

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 420/78, 193/11, 691/497?

Answer: GCF of Numerators as per given numbers 420/78, 193/11, 691/497 is

GCF of Numerators i.e. for 420,193,691 is 1

LCM of denominators i.e. for 78,11,497 is 426426.

Thus, GCF of Fractions is 1/426426.Finally, GCF of Fractions for 420/78, 193/11, 691/497 is 1/426426.