Greatest Common Factor of 601/62, 193/30, 851/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 601/62, 193/30, 851/861

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 601/62,193/30,851/861

Given fractions are 601/62,193/30,851/861

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 601,193,851

Greatest Common Factor of Numerators i.e. GCF of 601,193,851 is 1 .

LCM of Denominators means LCM of 62,30,861 as per the given fractions.

LCM of 62,30,861 is 266910 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 601,193,851

GCF of Fractions 601/62,193/30,851/861 is 1/266910

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

Greatest Common Factor of 601,193,851 By Matching Biggest Common Factor Method

Greatest Common Factor of 601,193,851 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 193

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

1,193

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Greatest Common Factor

We found the factors 601,193,851 . The biggest common factor number is the GCF number.
So the greatest common factor 601,193,851 is 1.

Lets's calculate LCM of 62,30,861

2 62, 30, 861
3 31, 15, 861
31, 5, 287

∴ So the LCM of the given numbers is 2 x 3 x 31 x 5 x 287 = 266910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/266910

Therefore, the GCF of Fractions 601/62,193/30,851/861 is 1/266910

Least Common Multiple of 62,30,861 with GCF Formula

Least Common Multiple of 62,30,861 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 62,30,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,30,861) = 1

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

GCF(62,30,861) x common factors =1 x 6 = 6

LCM(62,30,861) = ( 62 × 30 × 861 ) / 6

LCM(62,30,861) = 1601460 / 6

LCM(62,30,861) = 266910


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 601/62, 193/30, 851/861

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 601/62, 193/30, 851/861?

Answer: GCF of Numerators as per given numbers 601/62, 193/30, 851/861 is

GCF of Numerators i.e. for 601,193,851 is 1

LCM of denominators i.e. for 62,30,861 is 266910.

Thus, GCF of Fractions is 1/266910.Finally, GCF of Fractions for 601/62, 193/30, 851/861 is 1/266910.