Greatest Common Factor of 3709/182, 8020/3380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3709/182, 8020/3380

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 3709/182,8020/3380

Given fractions are 3709/182,8020/3380

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 3709,8020

Greatest Common Factor of Numerators i.e. GCF of 3709,8020 is 1 .

LCM of Denominators means LCM of 182,3380 as per the given fractions.

LCM of 182,3380 is 23660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3709,8020

GCF of Fractions 3709/182,8020/3380 is 1/23660

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

Greatest Common Factor of 3709,8020 By Matching Biggest Common Factor Method

Greatest Common Factor of 3709,8020 By Matching Biggest Common Factor Method

Factors of 3709

List of positive integer factors of 3709 that divides 3709 without a remainder.

1,3709

Factors of 8020

List of positive integer factors of 8020 that divides 8020 without a remainder.

1,2,4,5,10,20,401,802,1604,2005,4010,8020

Greatest Common Factor

We found the factors 3709,8020 . The biggest common factor number is the GCF number.
So the greatest common factor 3709,8020 is 1.

Lets's calculate LCM of 182,3380

2 182, 3380
13 91, 1690
7, 130

∴ So the LCM of the given numbers is 2 x 13 x 7 x 130 = 23660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23660

Therefore, the GCF of Fractions 3709/182,8020/3380 is 1/23660

Least Common Multiple of 182,3380 with GCF Formula

Least Common Multiple of 182,3380 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 182,3380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(182,3380) = 26

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

GCF(182,3380) x common factors =26 x 1 = 26

LCM(182,3380) = ( 182 × 3380 ) / 26

LCM(182,3380) = 615160 / 26

LCM(182,3380) = 23660


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 3709/182, 8020/3380

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 3709/182, 8020/3380?

Answer: GCF of Numerators as per given numbers 3709/182, 8020/3380 is

GCF of Numerators i.e. for 3709,8020 is 1

LCM of denominators i.e. for 182,3380 is 23660.

Thus, GCF of Fractions is 1/23660.Finally, GCF of Fractions for 3709/182, 8020/3380 is 1/23660.