Greatest Common Factor of 69/445, 873/601

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/445, 873/601

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 69/445,873/601

Given fractions are 69/445,873/601

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 69,873

Greatest Common Factor of Numerators i.e. GCF of 69,873 is 3 .

LCM of Denominators means LCM of 445,601 as per the given fractions.

LCM of 445,601 is 267445 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,873

GCF of Fractions 69/445,873/601 is 3/267445

3 69, 873
23, 291

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 69,873 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,873 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Greatest Common Factor

We found the factors 69,873 . The biggest common factor number is the GCF number.
So the greatest common factor 69,873 is 3.

Lets's calculate LCM of 445,601

Given numbers has no common factors except 1. So, there LCM is their product i.e 267445

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/267445

Therefore, the GCF of Fractions 69/445,873/601 is 3/267445

Least Common Multiple of 445,601 with GCF Formula

Least Common Multiple of 445,601 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 445,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(445,601) = 1

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

GCF(445,601) x common factors =1 x 1 = 1

LCM(445,601) = ( 445 × 601 ) / 1

LCM(445,601) = 267445 / 1

LCM(445,601) = 267445


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 69/445, 873/601

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 69/445, 873/601?

Answer: GCF of Numerators as per given numbers 69/445, 873/601 is

GCF of Numerators i.e. for 69,873 is 3

LCM of denominators i.e. for 445,601 is 267445.

Thus, GCF of Fractions is 3/267445.Finally, GCF of Fractions for 69/445, 873/601 is 3/267445.