Greatest Common Factor of 435/207, 930/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 435/207, 930/738

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 435/207,930/738

Given fractions are 435/207,930/738

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 435,930

Greatest Common Factor of Numerators i.e. GCF of 435,930 is 15 .

LCM of Denominators means LCM of 207,738 as per the given fractions.

LCM of 207,738 is 16974 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 435,930

GCF of Fractions 435/207,930/738 is 15/16974

3 435, 930
5 145, 310
29, 62

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 435,930 By Matching Biggest Common Factor Method

Greatest Common Factor of 435,930 By Matching Biggest Common Factor Method

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Greatest Common Factor

We found the factors 435,930 . The biggest common factor number is the GCF number.
So the greatest common factor 435,930 is 15.

Lets's calculate LCM of 207,738

3 207, 738
3 69, 246
23, 82

∴ So the LCM of the given numbers is 3 x 3 x 23 x 82 = 16974

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/16974

Therefore, the GCF of Fractions 435/207,930/738 is 15/16974

Least Common Multiple of 207,738 with GCF Formula

Least Common Multiple of 207,738 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 207,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(207,738) = 9

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

GCF(207,738) x common factors =9 x 1 = 9

LCM(207,738) = ( 207 × 738 ) / 9

LCM(207,738) = 152766 / 9

LCM(207,738) = 16974


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 435/207, 930/738

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 435/207, 930/738?

Answer: GCF of Numerators as per given numbers 435/207, 930/738 is

GCF of Numerators i.e. for 435,930 is 15

LCM of denominators i.e. for 207,738 is 16974.

Thus, GCF of Fractions is 15/16974.Finally, GCF of Fractions for 435/207, 930/738 is 15/16974.