Greatest Common Factor of 75/562, 601/307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/562, 601/307

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 75/562,601/307

Given fractions are 75/562,601/307

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 75,601

Greatest Common Factor of Numerators i.e. GCF of 75,601 is 1 .

LCM of Denominators means LCM of 562,307 as per the given fractions.

LCM of 562,307 is 172534 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,601

GCF of Fractions 75/562,601/307 is 1/172534

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

Greatest Common Factor of 75,601 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,601 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 601

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

1,601

Greatest Common Factor

We found the factors 75,601 . The biggest common factor number is the GCF number.
So the greatest common factor 75,601 is 1.

Lets's calculate LCM of 562,307

Given numbers has no common factors except 1. So, there LCM is their product i.e 172534

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/172534

Therefore, the GCF of Fractions 75/562,601/307 is 1/172534

Least Common Multiple of 562,307 with GCF Formula

Least Common Multiple of 562,307 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 562,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(562,307) = 1

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

GCF(562,307) x common factors =1 x 1 = 1

LCM(562,307) = ( 562 × 307 ) / 1

LCM(562,307) = 172534 / 1

LCM(562,307) = 172534


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 75/562, 601/307

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 75/562, 601/307?

Answer: GCF of Numerators as per given numbers 75/562, 601/307 is

GCF of Numerators i.e. for 75,601 is 1

LCM of denominators i.e. for 562,307 is 172534.

Thus, GCF of Fractions is 1/172534.Finally, GCF of Fractions for 75/562, 601/307 is 1/172534.