Greatest Common Factor of 1218/557, 3455/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1218/557, 3455/830

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 1218/557,3455/830

Given fractions are 1218/557,3455/830

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 1218,3455

Greatest Common Factor of Numerators i.e. GCF of 1218,3455 is 1 .

LCM of Denominators means LCM of 557,830 as per the given fractions.

LCM of 557,830 is 462310 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1218,3455

GCF of Fractions 1218/557,3455/830 is 1/462310

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

Greatest Common Factor of 1218,3455 By Matching Biggest Common Factor Method

Greatest Common Factor of 1218,3455 By Matching Biggest Common Factor Method

Factors of 1218

List of positive integer factors of 1218 that divides 1218 without a remainder.

1,2,3,6,7,14,21,29,42,58,87,174,203,406,609,1218

Factors of 3455

List of positive integer factors of 3455 that divides 3455 without a remainder.

1,5,691,3455

Greatest Common Factor

We found the factors 1218,3455 . The biggest common factor number is the GCF number.
So the greatest common factor 1218,3455 is 1.

Lets's calculate LCM of 557,830

Given numbers has no common factors except 1. So, there LCM is their product i.e 462310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/462310

Therefore, the GCF of Fractions 1218/557,3455/830 is 1/462310

Least Common Multiple of 557,830 with GCF Formula

Least Common Multiple of 557,830 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 557,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(557,830) = 1

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

GCF(557,830) x common factors =1 x 1 = 1

LCM(557,830) = ( 557 × 830 ) / 1

LCM(557,830) = 462310 / 1

LCM(557,830) = 462310


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 1218/557, 3455/830

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 1218/557, 3455/830?

Answer: GCF of Numerators as per given numbers 1218/557, 3455/830 is

GCF of Numerators i.e. for 1218,3455 is 1

LCM of denominators i.e. for 557,830 is 462310.

Thus, GCF of Fractions is 1/462310.Finally, GCF of Fractions for 1218/557, 3455/830 is 1/462310.