Greatest Common Factor of 3/23, 70/73, 39/790, 677/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/23, 70/73, 39/790, 677/230

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 3/23,70/73,39/790,677/230

Given fractions are 3/23,70/73,39/790,677/230

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 3,70,39,677

Greatest Common Factor of Numerators i.e. GCF of 3,70,39,677 is 1 .

LCM of Denominators means LCM of 23,73,790,230 as per the given fractions.

LCM of 23,73,790,230 is 1326410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,70,39,677

GCF of Fractions 3/23,70/73,39/790,677/230 is 1/1326410

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

Greatest Common Factor of 3,70,39,677 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,70,39,677 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Greatest Common Factor

We found the factors 3,70,39,677 . The biggest common factor number is the GCF number.
So the greatest common factor 3,70,39,677 is 1.

Lets's calculate LCM of 23,73,790,230

2 23, 73, 790, 230
5 23, 73, 395, 115
23 23, 73, 79, 23
1, 73, 79, 1

∴ So the LCM of the given numbers is 2 x 5 x 23 x 1 x 73 x 79 x 1 = 1326410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1326410

Therefore, the GCF of Fractions 3/23,70/73,39/790,677/230 is 1/1326410

Least Common Multiple of 23,73,790,230 with GCF Formula

Least Common Multiple of 23,73,790,230 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 23,73,790,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,73,790,230) = 1

common factors(in case of two or more numbers have common factors) = 230

GCF(23,73,790,230) x common factors =1 x 230 = 230

LCM(23,73,790,230) = ( 23 × 73 × 790 × 230 ) / 230

LCM(23,73,790,230) = 305074300 / 230

LCM(23,73,790,230) = 1326410


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 3/23, 70/73, 39/790, 677/230

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 3/23, 70/73, 39/790, 677/230?

Answer: GCF of Numerators as per given numbers 3/23, 70/73, 39/790, 677/230 is

GCF of Numerators i.e. for 3,70,39,677 is 1

LCM of denominators i.e. for 23,73,790,230 is 1326410.

Thus, GCF of Fractions is 1/1326410.Finally, GCF of Fractions for 3/23, 70/73, 39/790, 677/230 is 1/1326410.