Greatest Common Factor of 825/57, 2772/434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 825/57, 2772/434

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 825/57,2772/434

Given fractions are 825/57,2772/434

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 825,2772

Greatest Common Factor of Numerators i.e. GCF of 825,2772 is 33 .

LCM of Denominators means LCM of 57,434 as per the given fractions.

LCM of 57,434 is 24738 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 825,2772

GCF of Fractions 825/57,2772/434 is 33/24738

3 825, 2772
11 275, 924
25, 84

∴ So the GCF of the given numbers is 3 x 11 = 33

Greatest Common Factor of 825,2772 By Matching Biggest Common Factor Method

Greatest Common Factor of 825,2772 By Matching Biggest Common Factor Method

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Factors of 2772

List of positive integer factors of 2772 that divides 2772 without a remainder.

1,2,3,4,6,7,9,11,12,14,18,21,22,28,33,36,42,44,63,66,77,84,99,126,132,154,198,231,252,308,396,462,693,924,1386,2772

Greatest Common Factor

We found the factors 825,2772 . The biggest common factor number is the GCF number.
So the greatest common factor 825,2772 is 33.

Lets's calculate LCM of 57,434

Given numbers has no common factors except 1. So, there LCM is their product i.e 24738

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/24738

Therefore, the GCF of Fractions 825/57,2772/434 is 33/24738

Least Common Multiple of 57,434 with GCF Formula

Least Common Multiple of 57,434 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 57,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,434) = 1

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

GCF(57,434) x common factors =1 x 1 = 1

LCM(57,434) = ( 57 × 434 ) / 1

LCM(57,434) = 24738 / 1

LCM(57,434) = 24738


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 825/57, 2772/434

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 825/57, 2772/434?

Answer: GCF of Numerators as per given numbers 825/57, 2772/434 is

GCF of Numerators i.e. for 825,2772 is 33

LCM of denominators i.e. for 57,434 is 24738.

Thus, GCF of Fractions is 33/24738.Finally, GCF of Fractions for 825/57, 2772/434 is 33/24738.