Greatest Common Factor of 3844/53, 5155/777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3844/53, 5155/777

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 3844/53,5155/777

Given fractions are 3844/53,5155/777

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 3844,5155

Greatest Common Factor of Numerators i.e. GCF of 3844,5155 is 1 .

LCM of Denominators means LCM of 53,777 as per the given fractions.

LCM of 53,777 is 41181 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3844,5155

GCF of Fractions 3844/53,5155/777 is 1/41181

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

Greatest Common Factor of 3844,5155 By Matching Biggest Common Factor Method

Greatest Common Factor of 3844,5155 By Matching Biggest Common Factor Method

Factors of 3844

List of positive integer factors of 3844 that divides 3844 without a remainder.

1,2,4,31,62,124,961,1922,3844

Factors of 5155

List of positive integer factors of 5155 that divides 5155 without a remainder.

1,5,1031,5155

Greatest Common Factor

We found the factors 3844,5155 . The biggest common factor number is the GCF number.
So the greatest common factor 3844,5155 is 1.

Lets's calculate LCM of 53,777

Given numbers has no common factors except 1. So, there LCM is their product i.e 41181

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41181

Therefore, the GCF of Fractions 3844/53,5155/777 is 1/41181

Least Common Multiple of 53,777 with GCF Formula

Least Common Multiple of 53,777 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 53,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,777) = 1

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

GCF(53,777) x common factors =1 x 1 = 1

LCM(53,777) = ( 53 × 777 ) / 1

LCM(53,777) = 41181 / 1

LCM(53,777) = 41181


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 3844/53, 5155/777

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 3844/53, 5155/777?

Answer: GCF of Numerators as per given numbers 3844/53, 5155/777 is

GCF of Numerators i.e. for 3844,5155 is 1

LCM of denominators i.e. for 53,777 is 41181.

Thus, GCF of Fractions is 1/41181.Finally, GCF of Fractions for 3844/53, 5155/777 is 1/41181.