Greatest Common Factor of 781/30, 882/34, 518/31

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 781/30, 882/34, 518/31

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 781/30,882/34,518/31

Given fractions are 781/30,882/34,518/31

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 781,882,518

Greatest Common Factor of Numerators i.e. GCF of 781,882,518 is 1 .

LCM of Denominators means LCM of 30,34,31 as per the given fractions.

LCM of 30,34,31 is 15810 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 781,882,518

GCF of Fractions 781/30,882/34,518/31 is 1/15810

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

Greatest Common Factor of 781,882,518 By Matching Biggest Common Factor Method

Greatest Common Factor of 781,882,518 By Matching Biggest Common Factor Method

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Greatest Common Factor

We found the factors 781,882,518 . The biggest common factor number is the GCF number.
So the greatest common factor 781,882,518 is 1.

Lets's calculate LCM of 30,34,31

2 30, 34, 31
15, 17, 31

∴ So the LCM of the given numbers is 2 x 15 x 17 x 31 = 15810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15810

Therefore, the GCF of Fractions 781/30,882/34,518/31 is 1/15810

Least Common Multiple of 30,34,31 with GCF Formula

Least Common Multiple of 30,34,31 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 30,34,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,34,31) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(30,34,31) x common factors =1 x 2 = 2

LCM(30,34,31) = ( 30 × 34 × 31 ) / 2

LCM(30,34,31) = 31620 / 2

LCM(30,34,31) = 15810


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 781/30, 882/34, 518/31

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 781/30, 882/34, 518/31?

Answer: GCF of Numerators as per given numbers 781/30, 882/34, 518/31 is

GCF of Numerators i.e. for 781,882,518 is 1

LCM of denominators i.e. for 30,34,31 is 15810.

Thus, GCF of Fractions is 1/15810.Finally, GCF of Fractions for 781/30, 882/34, 518/31 is 1/15810.