Greatest Common Factor of 123/35, 820/386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 123/35, 820/386

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 123/35,820/386

Given fractions are 123/35,820/386

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 123,820

Greatest Common Factor of Numerators i.e. GCF of 123,820 is 41 .

LCM of Denominators means LCM of 35,386 as per the given fractions.

LCM of 35,386 is 13510 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 123,820

GCF of Fractions 123/35,820/386 is 41/13510

41 123, 820
3, 20

∴ So the GCF of the given numbers is 41 = 41

Greatest Common Factor of 123,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 123,820 By Matching Biggest Common Factor Method

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 123,820 . The biggest common factor number is the GCF number.
So the greatest common factor 123,820 is 41.

Lets's calculate LCM of 35,386

Given numbers has no common factors except 1. So, there LCM is their product i.e 13510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/13510

Therefore, the GCF of Fractions 123/35,820/386 is 41/13510

Least Common Multiple of 35,386 with GCF Formula

Least Common Multiple of 35,386 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 35,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,386) = 1

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

GCF(35,386) x common factors =1 x 1 = 1

LCM(35,386) = ( 35 × 386 ) / 1

LCM(35,386) = 13510 / 1

LCM(35,386) = 13510


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 123/35, 820/386

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 123/35, 820/386?

Answer: GCF of Numerators as per given numbers 123/35, 820/386 is

GCF of Numerators i.e. for 123,820 is 41

LCM of denominators i.e. for 35,386 is 13510.

Thus, GCF of Fractions is 41/13510.Finally, GCF of Fractions for 123/35, 820/386 is 41/13510.