Greatest Common Factor of 3709/301, 9170/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3709/301, 9170/682

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 3709/301,9170/682

Given fractions are 3709/301,9170/682

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 3709,9170

Greatest Common Factor of Numerators i.e. GCF of 3709,9170 is 1 .

LCM of Denominators means LCM of 301,682 as per the given fractions.

LCM of 301,682 is 205282 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3709,9170

GCF of Fractions 3709/301,9170/682 is 1/205282

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

Greatest Common Factor of 3709,9170 By Matching Biggest Common Factor Method

Greatest Common Factor of 3709,9170 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 9170

List of positive integer factors of 9170 that divides 9170 without a remainder.

1,2,5,7,10,14,35,70,131,262,655,917,1310,1834,4585,9170

Greatest Common Factor

We found the factors 3709,9170 . The biggest common factor number is the GCF number.
So the greatest common factor 3709,9170 is 1.

Lets's calculate LCM of 301,682

Given numbers has no common factors except 1. So, there LCM is their product i.e 205282

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/205282

Therefore, the GCF of Fractions 3709/301,9170/682 is 1/205282

Least Common Multiple of 301,682 with GCF Formula

Least Common Multiple of 301,682 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 301,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(301,682) = 1

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

GCF(301,682) x common factors =1 x 1 = 1

LCM(301,682) = ( 301 × 682 ) / 1

LCM(301,682) = 205282 / 1

LCM(301,682) = 205282


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 3709/301, 9170/682

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 3709/301, 9170/682?

Answer: GCF of Numerators as per given numbers 3709/301, 9170/682 is

GCF of Numerators i.e. for 3709,9170 is 1

LCM of denominators i.e. for 301,682 is 205282.

Thus, GCF of Fractions is 1/205282.Finally, GCF of Fractions for 3709/301, 9170/682 is 1/205282.