Greatest Common Factor of 386/52, 680/3509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 386/52, 680/3509

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 386/52,680/3509

Given fractions are 386/52,680/3509

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 386,680

Greatest Common Factor of Numerators i.e. GCF of 386,680 is 2 .

LCM of Denominators means LCM of 52,3509 as per the given fractions.

LCM of 52,3509 is 182468 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 386,680

GCF of Fractions 386/52,680/3509 is 2/182468

2 386, 680
193, 340

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 386,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 386,680 By Matching Biggest Common Factor Method

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 386,680 . The biggest common factor number is the GCF number.
So the greatest common factor 386,680 is 2.

Lets's calculate LCM of 52,3509

Given numbers has no common factors except 1. So, there LCM is their product i.e 182468

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/182468

Therefore, the GCF of Fractions 386/52,680/3509 is 2/182468

Least Common Multiple of 52,3509 with GCF Formula

Least Common Multiple of 52,3509 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 52,3509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,3509) = 1

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

GCF(52,3509) x common factors =1 x 1 = 1

LCM(52,3509) = ( 52 × 3509 ) / 1

LCM(52,3509) = 182468 / 1

LCM(52,3509) = 182468


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 386/52, 680/3509

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 386/52, 680/3509?

Answer: GCF of Numerators as per given numbers 386/52, 680/3509 is

GCF of Numerators i.e. for 386,680 is 2

LCM of denominators i.e. for 52,3509 is 182468.

Thus, GCF of Fractions is 2/182468.Finally, GCF of Fractions for 386/52, 680/3509 is 2/182468.