Greatest Common Factor of 1571/71, 3774/601

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1571/71, 3774/601

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 1571/71,3774/601

Given fractions are 1571/71,3774/601

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 1571,3774

Greatest Common Factor of Numerators i.e. GCF of 1571,3774 is 1 .

LCM of Denominators means LCM of 71,601 as per the given fractions.

LCM of 71,601 is 42671 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1571,3774

GCF of Fractions 1571/71,3774/601 is 1/42671

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

Greatest Common Factor of 1571,3774 By Matching Biggest Common Factor Method

Greatest Common Factor of 1571,3774 By Matching Biggest Common Factor Method

Factors of 1571

List of positive integer factors of 1571 that divides 1571 without a remainder.

1,1571

Factors of 3774

List of positive integer factors of 3774 that divides 3774 without a remainder.

1,2,3,6,17,34,37,51,74,102,111,222,629,1258,1887,3774

Greatest Common Factor

We found the factors 1571,3774 . The biggest common factor number is the GCF number.
So the greatest common factor 1571,3774 is 1.

Lets's calculate LCM of 71,601

Given numbers has no common factors except 1. So, there LCM is their product i.e 42671

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42671

Therefore, the GCF of Fractions 1571/71,3774/601 is 1/42671

Least Common Multiple of 71,601 with GCF Formula

Least Common Multiple of 71,601 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 71,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,601) = 1

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

GCF(71,601) x common factors =1 x 1 = 1

LCM(71,601) = ( 71 × 601 ) / 1

LCM(71,601) = 42671 / 1

LCM(71,601) = 42671


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 1571/71, 3774/601

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 1571/71, 3774/601?

Answer: GCF of Numerators as per given numbers 1571/71, 3774/601 is

GCF of Numerators i.e. for 1571,3774 is 1

LCM of denominators i.e. for 71,601 is 42671.

Thus, GCF of Fractions is 1/42671.Finally, GCF of Fractions for 1571/71, 3774/601 is 1/42671.