Greatest Common Factor of 390/706, 745/777, 891/319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 390/706, 745/777, 891/319

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 390/706,745/777,891/319

Given fractions are 390/706,745/777,891/319

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 390,745,891

Greatest Common Factor of Numerators i.e. GCF of 390,745,891 is 1 .

LCM of Denominators means LCM of 706,777,319 as per the given fractions.

LCM of 706,777,319 is 174991278 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 390,745,891

GCF of Fractions 390/706,745/777,891/319 is 1/174991278

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

Greatest Common Factor of 390,745,891 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,745,891 By Matching Biggest Common Factor Method

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Greatest Common Factor

We found the factors 390,745,891 . The biggest common factor number is the GCF number.
So the greatest common factor 390,745,891 is 1.

Lets's calculate LCM of 706,777,319

Given numbers has no common factors except 1. So, there LCM is their product i.e 174991278

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/174991278

Therefore, the GCF of Fractions 390/706,745/777,891/319 is 1/174991278

Least Common Multiple of 706,777,319 with GCF Formula

Least Common Multiple of 706,777,319 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 706,777,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(706,777,319) = 1

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

GCF(706,777,319) x common factors =1 x 1 = 1

LCM(706,777,319) = ( 706 × 777 × 319 ) / 1

LCM(706,777,319) = 174991278 / 1

LCM(706,777,319) = 174991278


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 390/706, 745/777, 891/319

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 390/706, 745/777, 891/319?

Answer: GCF of Numerators as per given numbers 390/706, 745/777, 891/319 is

GCF of Numerators i.e. for 390,745,891 is 1

LCM of denominators i.e. for 706,777,319 is 174991278.

Thus, GCF of Fractions is 1/174991278.Finally, GCF of Fractions for 390/706, 745/777, 891/319 is 1/174991278.