Greatest Common Factor of 601/94, 319/66, 803/125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 601/94, 319/66, 803/125

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 601/94,319/66,803/125

Given fractions are 601/94,319/66,803/125

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 601,319,803

Greatest Common Factor of Numerators i.e. GCF of 601,319,803 is 1 .

LCM of Denominators means LCM of 94,66,125 as per the given fractions.

LCM of 94,66,125 is 387750 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 601,319,803

GCF of Fractions 601/94,319/66,803/125 is 1/387750

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

Greatest Common Factor of 601,319,803 By Matching Biggest Common Factor Method

Greatest Common Factor of 601,319,803 By Matching Biggest Common Factor Method

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1,601

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Greatest Common Factor

We found the factors 601,319,803 . The biggest common factor number is the GCF number.
So the greatest common factor 601,319,803 is 1.

Lets's calculate LCM of 94,66,125

2 94, 66, 125
47, 33, 125

∴ So the LCM of the given numbers is 2 x 47 x 33 x 125 = 387750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/387750

Therefore, the GCF of Fractions 601/94,319/66,803/125 is 1/387750

Least Common Multiple of 94,66,125 with GCF Formula

Least Common Multiple of 94,66,125 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 94,66,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,66,125) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(94,66,125) x common factors =1 x 2 = 2

LCM(94,66,125) = ( 94 × 66 × 125 ) / 2

LCM(94,66,125) = 775500 / 2

LCM(94,66,125) = 387750


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 601/94, 319/66, 803/125

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 601/94, 319/66, 803/125?

Answer: GCF of Numerators as per given numbers 601/94, 319/66, 803/125 is

GCF of Numerators i.e. for 601,319,803 is 1

LCM of denominators i.e. for 94,66,125 is 387750.

Thus, GCF of Fractions is 1/387750.Finally, GCF of Fractions for 601/94, 319/66, 803/125 is 1/387750.