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GCF of 2023/604, 1663/9417

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 2023/604, 1663/9417 i.e 1/5687868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2023/604, 1663/9417.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 2023/604,1663/9417?

Given fractions are 2023/604,1663/9417

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 2023/604,1663/9417, numerators are 2023,1663

Denominators are 604,9417

The GCF of 2023,1663 is 1 .

LCM of 604,9417 is 5687868.

The greatest common factor of 2023/604,1663/9417 = [GCF of 2023,1663]/[LCM of 604,9417]= 1/5687868

Therefore, the GCF of 2023/604,1663/9417 is 1/5687868.

Greatest Common Factor of 2023,1663

To find the highest common factor of 2023,1663, we have to find the factors of both numbers and list the highest common factor.

The factors of 2023 are 1, 7, 17, 119, 289, 2023

The factors of 1663 are 1, 1663

The HCF of 2023,1663 is 1.

Lets's calculate GCF of 2023,1663

Greatest Common Factor (GCF) of 2023,1663 By Common Division

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

Greatest Common Factor of 2023,1663 By Matching Biggest Common Factor Method

Greatest Common Factor of 2023,1663 By Matching Biggest Common Factor Method

Now, list down the factors of 2023

:

1,7,17,119,289,2023

Now, list down the factors of 1663

:

1,1663

Greatest Common Factor

We found the factors 2023,1663 . The biggest common factor number is the GCF number.
So the greatest common factor 2023,1663 is 1.

Lets's calculate LCM of 604,9417

Lowest Common Multiple of 604,9417 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5687868

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5687868

Therefore, the GCF of Fractions 2023/604,1663/9417 is 1/5687868

Least Common Multiple of 604,9417 with GCF Formula

Least Common Multiple of 604,9417 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 604,9417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,9417) = 1

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

GCF(604,9417) x common factors =1 x 1 = 1

LCM(604,9417) = ( 604 × 9417 ) / 1

LCM(604,9417) = 5687868 / 1

LCM(604,9417) = 5687868


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2023/604, 1663/9417

1. What is the HCF of 2023,1663?

The HCF of 2023,1663 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 2023/604, 1663/9417?

Answer: GCF of Numerators as per given numbers 2023/604, 1663/9417 is

GCF of Numerators i.e. for 2023,1663 is 1

LCM of denominators i.e. for 604,9417 is 5687868.

Thus, GCF of Fractions is 1/5687868.Finally, GCF of Fractions for 2023/604, 1663/9417 is 1/5687868.