Greatest Common Factor of 1471/372, 5311/3450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1471/372, 5311/3450

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 1471/372,5311/3450

Given fractions are 1471/372,5311/3450

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 1471,5311

Greatest Common Factor of Numerators i.e. GCF of 1471,5311 is 1 .

LCM of Denominators means LCM of 372,3450 as per the given fractions.

LCM of 372,3450 is 213900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1471,5311

GCF of Fractions 1471/372,5311/3450 is 1/213900

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

Greatest Common Factor of 1471,5311 By Matching Biggest Common Factor Method

Greatest Common Factor of 1471,5311 By Matching Biggest Common Factor Method

Factors of 1471

List of positive integer factors of 1471 that divides 1471 without a remainder.

1,1471

Factors of 5311

List of positive integer factors of 5311 that divides 5311 without a remainder.

1,47,113,5311

Greatest Common Factor

We found the factors 1471,5311 . The biggest common factor number is the GCF number.
So the greatest common factor 1471,5311 is 1.

Lets's calculate LCM of 372,3450

2 372, 3450
3 186, 1725
62, 575

∴ So the LCM of the given numbers is 2 x 3 x 62 x 575 = 213900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/213900

Therefore, the GCF of Fractions 1471/372,5311/3450 is 1/213900

Least Common Multiple of 372,3450 with GCF Formula

Least Common Multiple of 372,3450 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 372,3450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(372,3450) = 6

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

GCF(372,3450) x common factors =6 x 1 = 6

LCM(372,3450) = ( 372 × 3450 ) / 6

LCM(372,3450) = 1283400 / 6

LCM(372,3450) = 213900


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 1471/372, 5311/3450

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 1471/372, 5311/3450?

Answer: GCF of Numerators as per given numbers 1471/372, 5311/3450 is

GCF of Numerators i.e. for 1471,5311 is 1

LCM of denominators i.e. for 372,3450 is 213900.

Thus, GCF of Fractions is 1/213900.Finally, GCF of Fractions for 1471/372, 5311/3450 is 1/213900.