Greatest Common Factor of 1395/93, 1930/532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1395/93, 1930/532

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 1395/93,1930/532

Given fractions are 1395/93,1930/532

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 1395,1930

Greatest Common Factor of Numerators i.e. GCF of 1395,1930 is 5 .

LCM of Denominators means LCM of 93,532 as per the given fractions.

LCM of 93,532 is 49476 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1395,1930

GCF of Fractions 1395/93,1930/532 is 5/49476

5 1395, 1930
279, 386

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 1395,1930 By Matching Biggest Common Factor Method

Greatest Common Factor of 1395,1930 By Matching Biggest Common Factor Method

Factors of 1395

List of positive integer factors of 1395 that divides 1395 without a remainder.

1,3,5,9,15,31,45,93,155,279,465,1395

Factors of 1930

List of positive integer factors of 1930 that divides 1930 without a remainder.

1,2,5,10,193,386,965,1930

Greatest Common Factor

We found the factors 1395,1930 . The biggest common factor number is the GCF number.
So the greatest common factor 1395,1930 is 5.

Lets's calculate LCM of 93,532

Given numbers has no common factors except 1. So, there LCM is their product i.e 49476

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/49476

Therefore, the GCF of Fractions 1395/93,1930/532 is 5/49476

Least Common Multiple of 93,532 with GCF Formula

Least Common Multiple of 93,532 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 93,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,532) = 1

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

GCF(93,532) x common factors =1 x 1 = 1

LCM(93,532) = ( 93 × 532 ) / 1

LCM(93,532) = 49476 / 1

LCM(93,532) = 49476


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 1395/93, 1930/532

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 1395/93, 1930/532?

Answer: GCF of Numerators as per given numbers 1395/93, 1930/532 is

GCF of Numerators i.e. for 1395,1930 is 5

LCM of denominators i.e. for 93,532 is 49476.

Thus, GCF of Fractions is 5/49476.Finally, GCF of Fractions for 1395/93, 1930/532 is 5/49476.