How to Find GCF of 2230/867, 3353/821?

GCF of 2230/867, 3353/821

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 2230/867, 3353/821 i.e 1/711807 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2230/867, 3353/821.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 2230/867,3353/821?

Given fractions are 2230/867,3353/821

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 2230/867,3353/821, numerators are 2230,3353

Denominators are 867,821

The GCF of 2230,3353 is 1 .

LCM of 867,821 is 711807.

The greatest common factor of 2230/867,3353/821 = [GCF of 2230,3353]/[LCM of 867,821]= 1/711807

Therefore, the GCF of 2230/867,3353/821 is 1/711807.

Greatest Common Factor of 2230,3353

To find the highest common factor of 2230,3353, we have to find the factors of both numbers and list the highest common factor.

The factors of 2230 are 1, 2, 5, 10, 223, 446, 1115, 2230

The factors of 3353 are 1, 7, 479, 3353

The HCF of 2230,3353 is 1.

Lets's calculate GCF of 2230,3353

Greatest Common Factor (GCF) of 2230,3353 By Common Division

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

Greatest Common Factor of 2230,3353 By Matching Biggest Common Factor Method

Now, list down the factors of 2230

1,2,5,10,223,446,1115,2230

Now, list down the factors of 3353

1,7,479,3353

Greatest Common Factor

We found the factors 2230,3353 . The biggest common factor number is the GCF number.
So the greatest common factor 2230,3353 is 1.

Lets's calculate LCM of 867,821

Lowest Common Multiple of 867,821 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 711807

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/711807

Therefore, the GCF of Fractions 2230/867,3353/821 is 1/711807

Least Common Multiple of 867,821 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 867,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(867,821) = 1

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

GCF(867,821) x common factors =1 x 1 = 1

LCM(867,821) = ( 867 × 821 ) / 1

LCM(867,821) = 711807 / 1

LCM(867,821) = 711807

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2230/867, 3353/821

1. What is the HCF of 2230,3353?

The HCF of 2230,3353 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 2230/867, 3353/821?

Answer: GCF of Numerators as per given numbers 2230/867, 3353/821 is

GCF of Numerators i.e. for 2230,3353 is 1

LCM of denominators i.e. for 867,821 is 711807.

Thus, GCF of Fractions is 1/711807.Finally, GCF of Fractions for 2230/867, 3353/821 is 1/711807.