Greatest Common Factor of 200/594, 103/601, 314/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 200/594, 103/601, 314/762

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 200/594,103/601,314/762

Given fractions are 200/594,103/601,314/762

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 200,103,314

Greatest Common Factor of Numerators i.e. GCF of 200,103,314 is 1 .

LCM of Denominators means LCM of 594,601,762 as per the given fractions.

LCM of 594,601,762 is 45338238 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 200,103,314

GCF of Fractions 200/594,103/601,314/762 is 1/45338238

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

Greatest Common Factor of 200,103,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 200,103,314 By Matching Biggest Common Factor Method

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 200,103,314 . The biggest common factor number is the GCF number.
So the greatest common factor 200,103,314 is 1.

Lets's calculate LCM of 594,601,762

2 594, 601, 762
3 297, 601, 381
99, 601, 127

∴ So the LCM of the given numbers is 2 x 3 x 99 x 601 x 127 = 45338238

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45338238

Therefore, the GCF of Fractions 200/594,103/601,314/762 is 1/45338238

Least Common Multiple of 594,601,762 with GCF Formula

Least Common Multiple of 594,601,762 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 594,601,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(594,601,762) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(594,601,762) x common factors =1 x 6 = 6

LCM(594,601,762) = ( 594 × 601 × 762 ) / 6

LCM(594,601,762) = 272029428 / 6

LCM(594,601,762) = 45338238


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 200/594, 103/601, 314/762

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 200/594, 103/601, 314/762?

Answer: GCF of Numerators as per given numbers 200/594, 103/601, 314/762 is

GCF of Numerators i.e. for 200,103,314 is 1

LCM of denominators i.e. for 594,601,762 is 45338238.

Thus, GCF of Fractions is 1/45338238.Finally, GCF of Fractions for 200/594, 103/601, 314/762 is 1/45338238.