Greatest Common Factor of 55/696, 19/755, 810/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 55/696, 19/755, 810/744

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 55/696,19/755,810/744

Given fractions are 55/696,19/755,810/744

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 55,19,810

Greatest Common Factor of Numerators i.e. GCF of 55,19,810 is 1 .

LCM of Denominators means LCM of 696,755,744 as per the given fractions.

LCM of 696,755,744 is 16289880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 55,19,810

GCF of Fractions 55/696,19/755,810/744 is 1/16289880

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

Greatest Common Factor of 55,19,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,19,810 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 55,19,810 . The biggest common factor number is the GCF number.
So the greatest common factor 55,19,810 is 1.

Lets's calculate LCM of 696,755,744

2 696, 755, 744
2 348, 755, 372
2 174, 755, 186
3 87, 755, 93
29, 755, 31

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 29 x 755 x 31 = 16289880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16289880

Therefore, the GCF of Fractions 55/696,19/755,810/744 is 1/16289880

Least Common Multiple of 696,755,744 with GCF Formula

Least Common Multiple of 696,755,744 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 696,755,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(696,755,744) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(696,755,744) x common factors =1 x 24 = 24

LCM(696,755,744) = ( 696 × 755 × 744 ) / 24

LCM(696,755,744) = 390957120 / 24

LCM(696,755,744) = 16289880


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 55/696, 19/755, 810/744

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 55/696, 19/755, 810/744?

Answer: GCF of Numerators as per given numbers 55/696, 19/755, 810/744 is

GCF of Numerators i.e. for 55,19,810 is 1

LCM of denominators i.e. for 696,755,744 is 16289880.

Thus, GCF of Fractions is 1/16289880.Finally, GCF of Fractions for 55/696, 19/755, 810/744 is 1/16289880.