Greatest Common Factor of 464/68, 735/11, 194/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 464/68, 735/11, 194/735

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 464/68,735/11,194/735

Given fractions are 464/68,735/11,194/735

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 464,735,194

Greatest Common Factor of Numerators i.e. GCF of 464,735,194 is 1 .

LCM of Denominators means LCM of 68,11,735 as per the given fractions.

LCM of 68,11,735 is 549780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 464,735,194

GCF of Fractions 464/68,735/11,194/735 is 1/549780

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

Greatest Common Factor of 464,735,194 By Matching Biggest Common Factor Method

Greatest Common Factor of 464,735,194 By Matching Biggest Common Factor Method

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Greatest Common Factor

We found the factors 464,735,194 . The biggest common factor number is the GCF number.
So the greatest common factor 464,735,194 is 1.

Lets's calculate LCM of 68,11,735

Given numbers has no common factors except 1. So, there LCM is their product i.e 549780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/549780

Therefore, the GCF of Fractions 464/68,735/11,194/735 is 1/549780

Least Common Multiple of 68,11,735 with GCF Formula

Least Common Multiple of 68,11,735 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 68,11,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,11,735) = 1

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

GCF(68,11,735) x common factors =1 x 1 = 1

LCM(68,11,735) = ( 68 × 11 × 735 ) / 1

LCM(68,11,735) = 549780 / 1

LCM(68,11,735) = 549780


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 464/68, 735/11, 194/735

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 464/68, 735/11, 194/735?

Answer: GCF of Numerators as per given numbers 464/68, 735/11, 194/735 is

GCF of Numerators i.e. for 464,735,194 is 1

LCM of denominators i.e. for 68,11,735 is 549780.

Thus, GCF of Fractions is 1/549780.Finally, GCF of Fractions for 464/68, 735/11, 194/735 is 1/549780.