Greatest Common Factor of 8225/542, 3888/7673

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8225/542, 3888/7673

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 8225/542,3888/7673

Given fractions are 8225/542,3888/7673

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 8225,3888

Greatest Common Factor of Numerators i.e. GCF of 8225,3888 is 1 .

LCM of Denominators means LCM of 542,7673 as per the given fractions.

LCM of 542,7673 is 4158766 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8225,3888

GCF of Fractions 8225/542,3888/7673 is 1/4158766

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

Greatest Common Factor of 8225,3888 By Matching Biggest Common Factor Method

Greatest Common Factor of 8225,3888 By Matching Biggest Common Factor Method

Factors of 8225

List of positive integer factors of 8225 that divides 8225 without a remainder.

1,5,7,25,35,47,175,235,329,1175,1645,8225

Factors of 3888

List of positive integer factors of 3888 that divides 3888 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,81,108,144,162,216,243,324,432,486,648,972,1296,1944,3888

Greatest Common Factor

We found the factors 8225,3888 . The biggest common factor number is the GCF number.
So the greatest common factor 8225,3888 is 1.

Lets's calculate LCM of 542,7673

Given numbers has no common factors except 1. So, there LCM is their product i.e 4158766

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4158766

Therefore, the GCF of Fractions 8225/542,3888/7673 is 1/4158766

Least Common Multiple of 542,7673 with GCF Formula

Least Common Multiple of 542,7673 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 542,7673 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,7673) = 1

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

GCF(542,7673) x common factors =1 x 1 = 1

LCM(542,7673) = ( 542 × 7673 ) / 1

LCM(542,7673) = 4158766 / 1

LCM(542,7673) = 4158766


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 8225/542, 3888/7673

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 8225/542, 3888/7673?

Answer: GCF of Numerators as per given numbers 8225/542, 3888/7673 is

GCF of Numerators i.e. for 8225,3888 is 1

LCM of denominators i.e. for 542,7673 is 4158766.

Thus, GCF of Fractions is 1/4158766.Finally, GCF of Fractions for 8225/542, 3888/7673 is 1/4158766.