Greatest Common Factor of 3680/713, 1569/9691

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3680/713, 1569/9691

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 3680/713,1569/9691

Given fractions are 3680/713,1569/9691

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 3680,1569

Greatest Common Factor of Numerators i.e. GCF of 3680,1569 is 1 .

LCM of Denominators means LCM of 713,9691 as per the given fractions.

LCM of 713,9691 is 6909683 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3680,1569

GCF of Fractions 3680/713,1569/9691 is 1/6909683

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

Greatest Common Factor of 3680,1569 By Matching Biggest Common Factor Method

Greatest Common Factor of 3680,1569 By Matching Biggest Common Factor Method

Factors of 3680

List of positive integer factors of 3680 that divides 3680 without a remainder.

1,2,4,5,8,10,16,20,23,32,40,46,80,92,115,160,184,230,368,460,736,920,1840,3680

Factors of 1569

List of positive integer factors of 1569 that divides 1569 without a remainder.

1,3,523,1569

Greatest Common Factor

We found the factors 3680,1569 . The biggest common factor number is the GCF number.
So the greatest common factor 3680,1569 is 1.

Lets's calculate LCM of 713,9691

Given numbers has no common factors except 1. So, there LCM is their product i.e 6909683

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6909683

Therefore, the GCF of Fractions 3680/713,1569/9691 is 1/6909683

Least Common Multiple of 713,9691 with GCF Formula

Least Common Multiple of 713,9691 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 713,9691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(713,9691) = 1

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

GCF(713,9691) x common factors =1 x 1 = 1

LCM(713,9691) = ( 713 × 9691 ) / 1

LCM(713,9691) = 6909683 / 1

LCM(713,9691) = 6909683


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 3680/713, 1569/9691

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 3680/713, 1569/9691?

Answer: GCF of Numerators as per given numbers 3680/713, 1569/9691 is

GCF of Numerators i.e. for 3680,1569 is 1

LCM of denominators i.e. for 713,9691 is 6909683.

Thus, GCF of Fractions is 1/6909683.Finally, GCF of Fractions for 3680/713, 1569/9691 is 1/6909683.