Greatest Common Factor of 1825/877, 3817/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1825/877, 3817/258

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 1825/877,3817/258

Given fractions are 1825/877,3817/258

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 1825,3817

Greatest Common Factor of Numerators i.e. GCF of 1825,3817 is 1 .

LCM of Denominators means LCM of 877,258 as per the given fractions.

LCM of 877,258 is 226266 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1825,3817

GCF of Fractions 1825/877,3817/258 is 1/226266

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

Greatest Common Factor of 1825,3817 By Matching Biggest Common Factor Method

Greatest Common Factor of 1825,3817 By Matching Biggest Common Factor Method

Factors of 1825

List of positive integer factors of 1825 that divides 1825 without a remainder.

1,5,25,73,365,1825

Factors of 3817

List of positive integer factors of 3817 that divides 3817 without a remainder.

1,11,347,3817

Greatest Common Factor

We found the factors 1825,3817 . The biggest common factor number is the GCF number.
So the greatest common factor 1825,3817 is 1.

Lets's calculate LCM of 877,258

Given numbers has no common factors except 1. So, there LCM is their product i.e 226266

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/226266

Therefore, the GCF of Fractions 1825/877,3817/258 is 1/226266

Least Common Multiple of 877,258 with GCF Formula

Least Common Multiple of 877,258 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 877,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(877,258) = 1

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

GCF(877,258) x common factors =1 x 1 = 1

LCM(877,258) = ( 877 × 258 ) / 1

LCM(877,258) = 226266 / 1

LCM(877,258) = 226266


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 1825/877, 3817/258

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 1825/877, 3817/258?

Answer: GCF of Numerators as per given numbers 1825/877, 3817/258 is

GCF of Numerators i.e. for 1825,3817 is 1

LCM of denominators i.e. for 877,258 is 226266.

Thus, GCF of Fractions is 1/226266.Finally, GCF of Fractions for 1825/877, 3817/258 is 1/226266.