Greatest Common Factor of 411/224, 1485/395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 411/224, 1485/395

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 411/224,1485/395

Given fractions are 411/224,1485/395

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 411,1485

Greatest Common Factor of Numerators i.e. GCF of 411,1485 is 3 .

LCM of Denominators means LCM of 224,395 as per the given fractions.

LCM of 224,395 is 88480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 411,1485

GCF of Fractions 411/224,1485/395 is 3/88480

3 411, 1485
137, 495

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 411,1485 By Matching Biggest Common Factor Method

Greatest Common Factor of 411,1485 By Matching Biggest Common Factor Method

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Factors of 1485

List of positive integer factors of 1485 that divides 1485 without a remainder.

1,3,5,9,11,15,27,33,45,55,99,135,165,297,495,1485

Greatest Common Factor

We found the factors 411,1485 . The biggest common factor number is the GCF number.
So the greatest common factor 411,1485 is 3.

Lets's calculate LCM of 224,395

Given numbers has no common factors except 1. So, there LCM is their product i.e 88480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/88480

Therefore, the GCF of Fractions 411/224,1485/395 is 3/88480

Least Common Multiple of 224,395 with GCF Formula

Least Common Multiple of 224,395 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 224,395 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,395) = 1

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

GCF(224,395) x common factors =1 x 1 = 1

LCM(224,395) = ( 224 × 395 ) / 1

LCM(224,395) = 88480 / 1

LCM(224,395) = 88480


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 411/224, 1485/395

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 411/224, 1485/395?

Answer: GCF of Numerators as per given numbers 411/224, 1485/395 is

GCF of Numerators i.e. for 411,1485 is 3

LCM of denominators i.e. for 224,395 is 88480.

Thus, GCF of Fractions is 3/88480.Finally, GCF of Fractions for 411/224, 1485/395 is 3/88480.