Greatest Common Factor of 830/834, 836/527, 720/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 830/834, 836/527, 720/923

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 830/834,836/527,720/923

Given fractions are 830/834,836/527,720/923

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 830,836,720

Greatest Common Factor of Numerators i.e. GCF of 830,836,720 is 2 .

LCM of Denominators means LCM of 834,527,923 as per the given fractions.

LCM of 834,527,923 is 405675114 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 830,836,720

GCF of Fractions 830/834,836/527,720/923 is 2/405675114

2 830, 836, 720
415, 418, 360

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

Greatest Common Factor of 830,836,720 By Matching Biggest Common Factor Method

Greatest Common Factor of 830,836,720 By Matching Biggest Common Factor Method

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Greatest Common Factor

We found the factors 830,836,720 . The biggest common factor number is the GCF number.
So the greatest common factor 830,836,720 is 2.

Lets's calculate LCM of 834,527,923

Given numbers has no common factors except 1. So, there LCM is their product i.e 405675114

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/405675114

Therefore, the GCF of Fractions 830/834,836/527,720/923 is 2/405675114

Least Common Multiple of 834,527,923 with GCF Formula

Least Common Multiple of 834,527,923 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 834,527,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(834,527,923) = 1

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

GCF(834,527,923) x common factors =1 x 1 = 1

LCM(834,527,923) = ( 834 × 527 × 923 ) / 1

LCM(834,527,923) = 405675114 / 1

LCM(834,527,923) = 405675114


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 830/834, 836/527, 720/923

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 830/834, 836/527, 720/923?

Answer: GCF of Numerators as per given numbers 830/834, 836/527, 720/923 is

GCF of Numerators i.e. for 830,836,720 is 2

LCM of denominators i.e. for 834,527,923 is 405675114.

Thus, GCF of Fractions is 2/405675114.Finally, GCF of Fractions for 830/834, 836/527, 720/923 is 2/405675114.