How to Find GCF of 3393/217, 1123/2663?

GCF of 3393/217, 1123/2663

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 3393/217, 1123/2663 i.e 1/577871 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3393/217, 1123/2663.

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 3393/217,1123/2663?

Given fractions are 3393/217,1123/2663

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 3393/217,1123/2663, numerators are 3393,1123

Denominators are 217,2663

The GCF of 3393,1123 is 1 .

LCM of 217,2663 is 577871.

The greatest common factor of 3393/217,1123/2663 = [GCF of 3393,1123]/[LCM of 217,2663]= 1/577871

Therefore, the GCF of 3393/217,1123/2663 is 1/577871.

Greatest Common Factor of 3393,1123

To find the highest common factor of 3393,1123, we have to find the factors of both numbers and list the highest common factor.

The factors of 3393 are 1, 3, 9, 13, 29, 39, 87, 117, 261, 377, 1131, 3393

The factors of 1123 are 1, 1123

The HCF of 3393,1123 is 1.

Lets's calculate GCF of 3393,1123

Greatest Common Factor (GCF) of 3393,1123 By Common Division

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

Greatest Common Factor of 3393,1123 By Matching Biggest Common Factor Method

Now, list down the factors of 3393

1,3,9,13,29,39,87,117,261,377,1131,3393

Now, list down the factors of 1123

1,1123

Greatest Common Factor

We found the factors 3393,1123 . The biggest common factor number is the GCF number.
So the greatest common factor 3393,1123 is 1.

Lets's calculate LCM of 217,2663

Lowest Common Multiple of 217,2663 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 577871

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/577871

Therefore, the GCF of Fractions 3393/217,1123/2663 is 1/577871

Least Common Multiple of 217,2663 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 217,2663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,2663) = 1

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

GCF(217,2663) x common factors =1 x 1 = 1

LCM(217,2663) = ( 217 × 2663 ) / 1

LCM(217,2663) = 577871 / 1

LCM(217,2663) = 577871

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FAQs on GCF of Fractions of 3393/217, 1123/2663

1. What is the HCF of 3393,1123?

The HCF of 3393,1123 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 3393/217, 1123/2663?

Answer: GCF of Numerators as per given numbers 3393/217, 1123/2663 is

GCF of Numerators i.e. for 3393,1123 is 1

LCM of denominators i.e. for 217,2663 is 577871.

Thus, GCF of Fractions is 1/577871.Finally, GCF of Fractions for 3393/217, 1123/2663 is 1/577871.