Greatest Common Factor of 3825/344, 9772/9474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3825/344, 9772/9474

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 3825/344,9772/9474

Given fractions are 3825/344,9772/9474

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 3825,9772

Greatest Common Factor of Numerators i.e. GCF of 3825,9772 is 1 .

LCM of Denominators means LCM of 344,9474 as per the given fractions.

LCM of 344,9474 is 1629528 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3825,9772

GCF of Fractions 3825/344,9772/9474 is 1/1629528

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

Greatest Common Factor of 3825,9772 By Matching Biggest Common Factor Method

Greatest Common Factor of 3825,9772 By Matching Biggest Common Factor Method

Factors of 3825

List of positive integer factors of 3825 that divides 3825 without a remainder.

1,3,5,9,15,17,25,45,51,75,85,153,225,255,425,765,1275,3825

Factors of 9772

List of positive integer factors of 9772 that divides 9772 without a remainder.

1,2,4,7,14,28,349,698,1396,2443,4886,9772

Greatest Common Factor

We found the factors 3825,9772 . The biggest common factor number is the GCF number.
So the greatest common factor 3825,9772 is 1.

Lets's calculate LCM of 344,9474

2 344, 9474
172, 4737

∴ So the LCM of the given numbers is 2 x 172 x 4737 = 1629528

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1629528

Therefore, the GCF of Fractions 3825/344,9772/9474 is 1/1629528

Least Common Multiple of 344,9474 with GCF Formula

Least Common Multiple of 344,9474 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 344,9474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(344,9474) = 2

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

GCF(344,9474) x common factors =2 x 1 = 2

LCM(344,9474) = ( 344 × 9474 ) / 2

LCM(344,9474) = 3259056 / 2

LCM(344,9474) = 1629528


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 3825/344, 9772/9474

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 3825/344, 9772/9474?

Answer: GCF of Numerators as per given numbers 3825/344, 9772/9474 is

GCF of Numerators i.e. for 3825,9772 is 1

LCM of denominators i.e. for 344,9474 is 1629528.

Thus, GCF of Fractions is 1/1629528.Finally, GCF of Fractions for 3825/344, 9772/9474 is 1/1629528.