Greatest Common Factor of 55/877, 275/181

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 55/877, 275/181

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 55/877,275/181

Given fractions are 55/877,275/181

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 55,275

Greatest Common Factor of Numerators i.e. GCF of 55,275 is 55 .

LCM of Denominators means LCM of 877,181 as per the given fractions.

LCM of 877,181 is 158737 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 55,275

GCF of Fractions 55/877,275/181 is 55/158737

5 55, 275
11 11, 55
1, 5

∴ So the GCF of the given numbers is 5 x 11 = 55

Greatest Common Factor of 55,275 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,275 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Greatest Common Factor

We found the factors 55,275 . The biggest common factor number is the GCF number.
So the greatest common factor 55,275 is 55.

Lets's calculate LCM of 877,181

Given numbers has no common factors except 1. So, there LCM is their product i.e 158737

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 55/158737

Therefore, the GCF of Fractions 55/877,275/181 is 55/158737

Least Common Multiple of 877,181 with GCF Formula

Least Common Multiple of 877,181 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 877,181 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(877,181) = 1

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

GCF(877,181) x common factors =1 x 1 = 1

LCM(877,181) = ( 877 × 181 ) / 1

LCM(877,181) = 158737 / 1

LCM(877,181) = 158737


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 55/877, 275/181

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 55/877, 275/181?

Answer: GCF of Numerators as per given numbers 55/877, 275/181 is

GCF of Numerators i.e. for 55,275 is 55

LCM of denominators i.e. for 877,181 is 158737.

Thus, GCF of Fractions is 55/158737.Finally, GCF of Fractions for 55/877, 275/181 is 55/158737.