Greatest Common Factor of 783/31, 382/3791

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 783/31, 382/3791

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 783/31,382/3791

Given fractions are 783/31,382/3791

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 783,382

Greatest Common Factor of Numerators i.e. GCF of 783,382 is 1 .

LCM of Denominators means LCM of 31,3791 as per the given fractions.

LCM of 31,3791 is 117521 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 783,382

GCF of Fractions 783/31,382/3791 is 1/117521

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

Greatest Common Factor of 783,382 By Matching Biggest Common Factor Method

Greatest Common Factor of 783,382 By Matching Biggest Common Factor Method

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Greatest Common Factor

We found the factors 783,382 . The biggest common factor number is the GCF number.
So the greatest common factor 783,382 is 1.

Lets's calculate LCM of 31,3791

Given numbers has no common factors except 1. So, there LCM is their product i.e 117521

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/117521

Therefore, the GCF of Fractions 783/31,382/3791 is 1/117521

Least Common Multiple of 31,3791 with GCF Formula

Least Common Multiple of 31,3791 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 31,3791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,3791) = 1

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

GCF(31,3791) x common factors =1 x 1 = 1

LCM(31,3791) = ( 31 × 3791 ) / 1

LCM(31,3791) = 117521 / 1

LCM(31,3791) = 117521


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 783/31, 382/3791

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 783/31, 382/3791?

Answer: GCF of Numerators as per given numbers 783/31, 382/3791 is

GCF of Numerators i.e. for 783,382 is 1

LCM of denominators i.e. for 31,3791 is 117521.

Thus, GCF of Fractions is 1/117521.Finally, GCF of Fractions for 783/31, 382/3791 is 1/117521.