Greatest Common Factor of 550/418, 7418/1835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 550/418, 7418/1835

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 550/418,7418/1835

Given fractions are 550/418,7418/1835

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 550,7418

Greatest Common Factor of Numerators i.e. GCF of 550,7418 is 2 .

LCM of Denominators means LCM of 418,1835 as per the given fractions.

LCM of 418,1835 is 767030 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 550,7418

GCF of Fractions 550/418,7418/1835 is 2/767030

2 550, 7418
275, 3709

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 550,7418 By Matching Biggest Common Factor Method

Greatest Common Factor of 550,7418 By Matching Biggest Common Factor Method

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Factors of 7418

List of positive integer factors of 7418 that divides 7418 without a remainder.

1,2,3709,7418

Greatest Common Factor

We found the factors 550,7418 . The biggest common factor number is the GCF number.
So the greatest common factor 550,7418 is 2.

Lets's calculate LCM of 418,1835

Given numbers has no common factors except 1. So, there LCM is their product i.e 767030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/767030

Therefore, the GCF of Fractions 550/418,7418/1835 is 2/767030

Least Common Multiple of 418,1835 with GCF Formula

Least Common Multiple of 418,1835 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 418,1835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(418,1835) = 1

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

GCF(418,1835) x common factors =1 x 1 = 1

LCM(418,1835) = ( 418 × 1835 ) / 1

LCM(418,1835) = 767030 / 1

LCM(418,1835) = 767030


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 550/418, 7418/1835

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 550/418, 7418/1835?

Answer: GCF of Numerators as per given numbers 550/418, 7418/1835 is

GCF of Numerators i.e. for 550,7418 is 2

LCM of denominators i.e. for 418,1835 is 767030.

Thus, GCF of Fractions is 2/767030.Finally, GCF of Fractions for 550/418, 7418/1835 is 2/767030.