Greatest Common Factor of 68/85, 59/94, 984/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/85, 59/94, 984/149

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 68/85,59/94,984/149

Given fractions are 68/85,59/94,984/149

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 68,59,984

Greatest Common Factor of Numerators i.e. GCF of 68,59,984 is 1 .

LCM of Denominators means LCM of 85,94,149 as per the given fractions.

LCM of 85,94,149 is 1190510 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,59,984

GCF of Fractions 68/85,59/94,984/149 is 1/1190510

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

Greatest Common Factor of 68,59,984 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,59,984 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Greatest Common Factor

We found the factors 68,59,984 . The biggest common factor number is the GCF number.
So the greatest common factor 68,59,984 is 1.

Lets's calculate LCM of 85,94,149

Given numbers has no common factors except 1. So, there LCM is their product i.e 1190510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1190510

Therefore, the GCF of Fractions 68/85,59/94,984/149 is 1/1190510

Least Common Multiple of 85,94,149 with GCF Formula

Least Common Multiple of 85,94,149 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 85,94,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,94,149) = 1

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

GCF(85,94,149) x common factors =1 x 1 = 1

LCM(85,94,149) = ( 85 × 94 × 149 ) / 1

LCM(85,94,149) = 1190510 / 1

LCM(85,94,149) = 1190510


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 68/85, 59/94, 984/149

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 68/85, 59/94, 984/149?

Answer: GCF of Numerators as per given numbers 68/85, 59/94, 984/149 is

GCF of Numerators i.e. for 68,59,984 is 1

LCM of denominators i.e. for 85,94,149 is 1190510.

Thus, GCF of Fractions is 1/1190510.Finally, GCF of Fractions for 68/85, 59/94, 984/149 is 1/1190510.