Greatest Common Factor of 833/64, 828/10, 545/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 833/64, 828/10, 545/825

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 833/64,828/10,545/825

Given fractions are 833/64,828/10,545/825

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 833,828,545

Greatest Common Factor of Numerators i.e. GCF of 833,828,545 is 1 .

LCM of Denominators means LCM of 64,10,825 as per the given fractions.

LCM of 64,10,825 is 52800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 833,828,545

GCF of Fractions 833/64,828/10,545/825 is 1/52800

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

Greatest Common Factor of 833,828,545 By Matching Biggest Common Factor Method

Greatest Common Factor of 833,828,545 By Matching Biggest Common Factor Method

Factors of 833

List of positive integer factors of 833 that divides 833 without a remainder.

1,7,17,49,119,833

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Greatest Common Factor

We found the factors 833,828,545 . The biggest common factor number is the GCF number.
So the greatest common factor 833,828,545 is 1.

Lets's calculate LCM of 64,10,825

2 64, 10, 825
5 32, 5, 825
32, 1, 165

∴ So the LCM of the given numbers is 2 x 5 x 32 x 1 x 165 = 52800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52800

Therefore, the GCF of Fractions 833/64,828/10,545/825 is 1/52800

Least Common Multiple of 64,10,825 with GCF Formula

Least Common Multiple of 64,10,825 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 64,10,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,10,825) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(64,10,825) x common factors =1 x 10 = 10

LCM(64,10,825) = ( 64 × 10 × 825 ) / 10

LCM(64,10,825) = 528000 / 10

LCM(64,10,825) = 52800


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 833/64, 828/10, 545/825

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 833/64, 828/10, 545/825?

Answer: GCF of Numerators as per given numbers 833/64, 828/10, 545/825 is

GCF of Numerators i.e. for 833,828,545 is 1

LCM of denominators i.e. for 64,10,825 is 52800.

Thus, GCF of Fractions is 1/52800.Finally, GCF of Fractions for 833/64, 828/10, 545/825 is 1/52800.