Greatest Common Factor of 829/548, 720/733, 869/261

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 829/548, 720/733, 869/261

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 829/548,720/733,869/261

Given fractions are 829/548,720/733,869/261

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 829,720,869

Greatest Common Factor of Numerators i.e. GCF of 829,720,869 is 1 .

LCM of Denominators means LCM of 548,733,261 as per the given fractions.

LCM of 548,733,261 is 104839524 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 829,720,869

GCF of Fractions 829/548,720/733,869/261 is 1/104839524

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

Greatest Common Factor of 829,720,869 By Matching Biggest Common Factor Method

Greatest Common Factor of 829,720,869 By Matching Biggest Common Factor Method

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

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

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Greatest Common Factor

We found the factors 829,720,869 . The biggest common factor number is the GCF number.
So the greatest common factor 829,720,869 is 1.

Lets's calculate LCM of 548,733,261

Given numbers has no common factors except 1. So, there LCM is their product i.e 104839524

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104839524

Therefore, the GCF of Fractions 829/548,720/733,869/261 is 1/104839524

Least Common Multiple of 548,733,261 with GCF Formula

Least Common Multiple of 548,733,261 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 548,733,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(548,733,261) = 1

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

GCF(548,733,261) x common factors =1 x 1 = 1

LCM(548,733,261) = ( 548 × 733 × 261 ) / 1

LCM(548,733,261) = 104839524 / 1

LCM(548,733,261) = 104839524


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 829/548, 720/733, 869/261

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 829/548, 720/733, 869/261?

Answer: GCF of Numerators as per given numbers 829/548, 720/733, 869/261 is

GCF of Numerators i.e. for 829,720,869 is 1

LCM of denominators i.e. for 548,733,261 is 104839524.

Thus, GCF of Fractions is 1/104839524.Finally, GCF of Fractions for 829/548, 720/733, 869/261 is 1/104839524.