How to Find GCF of 2663/433, 3038/1474?

GCF of 2663/433, 3038/1474

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 2663/433, 3038/1474 i.e 1/638242 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2663/433, 3038/1474.

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 2663/433,3038/1474?

Given fractions are 2663/433,3038/1474

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 2663/433,3038/1474, numerators are 2663,3038

Denominators are 433,1474

The GCF of 2663,3038 is 1 .

LCM of 433,1474 is 638242.

The greatest common factor of 2663/433,3038/1474 = [GCF of 2663,3038]/[LCM of 433,1474]= 1/638242

Therefore, the GCF of 2663/433,3038/1474 is 1/638242.

Greatest Common Factor of 2663,3038

To find the highest common factor of 2663,3038, we have to find the factors of both numbers and list the highest common factor.

The factors of 2663 are 1, 2663

The factors of 3038 are 1, 2, 7, 14, 31, 49, 62, 98, 217, 434, 1519, 3038

The HCF of 2663,3038 is 1.

Lets's calculate GCF of 2663,3038

Greatest Common Factor (GCF) of 2663,3038 By Common Division

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

Greatest Common Factor of 2663,3038 By Matching Biggest Common Factor Method

Now, list down the factors of 2663

1,2663

Now, list down the factors of 3038

1,2,7,14,31,49,62,98,217,434,1519,3038

Greatest Common Factor

We found the factors 2663,3038 . The biggest common factor number is the GCF number.
So the greatest common factor 2663,3038 is 1.

Lets's calculate LCM of 433,1474

Lowest Common Multiple of 433,1474 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 638242

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/638242

Therefore, the GCF of Fractions 2663/433,3038/1474 is 1/638242

Least Common Multiple of 433,1474 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 433,1474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(433,1474) = 1

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

GCF(433,1474) x common factors =1 x 1 = 1

LCM(433,1474) = ( 433 × 1474 ) / 1

LCM(433,1474) = 638242 / 1

LCM(433,1474) = 638242

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FAQs on GCF of Fractions of 2663/433, 3038/1474

1. What is the HCF of 2663,3038?

The HCF of 2663,3038 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 2663/433, 3038/1474?

Answer: GCF of Numerators as per given numbers 2663/433, 3038/1474 is

GCF of Numerators i.e. for 2663,3038 is 1

LCM of denominators i.e. for 433,1474 is 638242.

Thus, GCF of Fractions is 1/638242.Finally, GCF of Fractions for 2663/433, 3038/1474 is 1/638242.