Greatest Common Factor of 38/891, 778/823, 410/943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/891, 778/823, 410/943

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 38/891,778/823,410/943

Given fractions are 38/891,778/823,410/943

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 38,778,410

Greatest Common Factor of Numerators i.e. GCF of 38,778,410 is 2 .

LCM of Denominators means LCM of 891,823,943 as per the given fractions.

LCM of 891,823,943 is 691495299 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,778,410

GCF of Fractions 38/891,778/823,410/943 is 2/691495299

2 38, 778, 410
19, 389, 205

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 38,778,410 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,778,410 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Greatest Common Factor

We found the factors 38,778,410 . The biggest common factor number is the GCF number.
So the greatest common factor 38,778,410 is 2.

Lets's calculate LCM of 891,823,943

Given numbers has no common factors except 1. So, there LCM is their product i.e 691495299

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/691495299

Therefore, the GCF of Fractions 38/891,778/823,410/943 is 2/691495299

Least Common Multiple of 891,823,943 with GCF Formula

Least Common Multiple of 891,823,943 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 891,823,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(891,823,943) = 1

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

GCF(891,823,943) x common factors =1 x 1 = 1

LCM(891,823,943) = ( 891 × 823 × 943 ) / 1

LCM(891,823,943) = 691495299 / 1

LCM(891,823,943) = 691495299


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 38/891, 778/823, 410/943

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 38/891, 778/823, 410/943?

Answer: GCF of Numerators as per given numbers 38/891, 778/823, 410/943 is

GCF of Numerators i.e. for 38,778,410 is 2

LCM of denominators i.e. for 891,823,943 is 691495299.

Thus, GCF of Fractions is 2/691495299.Finally, GCF of Fractions for 38/891, 778/823, 410/943 is 2/691495299.