Greatest Common Factor of 3471/85, 5720/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3471/85, 5720/747

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 3471/85,5720/747

Given fractions are 3471/85,5720/747

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 3471,5720

Greatest Common Factor of Numerators i.e. GCF of 3471,5720 is 13 .

LCM of Denominators means LCM of 85,747 as per the given fractions.

LCM of 85,747 is 63495 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3471,5720

GCF of Fractions 3471/85,5720/747 is 13/63495

13 3471, 5720
267, 440

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 3471,5720 By Matching Biggest Common Factor Method

Greatest Common Factor of 3471,5720 By Matching Biggest Common Factor Method

Factors of 3471

List of positive integer factors of 3471 that divides 3471 without a remainder.

1,3,13,39,89,267,1157,3471

Factors of 5720

List of positive integer factors of 5720 that divides 5720 without a remainder.

1,2,4,5,8,10,11,13,20,22,26,40,44,52,55,65,88,104,110,130,143,220,260,286,440,520,572,715,1144,1430,2860,5720

Greatest Common Factor

We found the factors 3471,5720 . The biggest common factor number is the GCF number.
So the greatest common factor 3471,5720 is 13.

Lets's calculate LCM of 85,747

Given numbers has no common factors except 1. So, there LCM is their product i.e 63495

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/63495

Therefore, the GCF of Fractions 3471/85,5720/747 is 13/63495

Least Common Multiple of 85,747 with GCF Formula

Least Common Multiple of 85,747 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 85,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,747) = 1

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

GCF(85,747) x common factors =1 x 1 = 1

LCM(85,747) = ( 85 × 747 ) / 1

LCM(85,747) = 63495 / 1

LCM(85,747) = 63495


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 3471/85, 5720/747

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 3471/85, 5720/747?

Answer: GCF of Numerators as per given numbers 3471/85, 5720/747 is

GCF of Numerators i.e. for 3471,5720 is 13

LCM of denominators i.e. for 85,747 is 63495.

Thus, GCF of Fractions is 13/63495.Finally, GCF of Fractions for 3471/85, 5720/747 is 13/63495.