How to Find GCF of 9203/616, 4167/559?

GCF of 9203/616, 4167/559

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 9203/616, 4167/559 i.e 1/344344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9203/616, 4167/559.

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 9203/616,4167/559?

Given fractions are 9203/616,4167/559

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 9203/616,4167/559, numerators are 9203,4167

Denominators are 616,559

The GCF of 9203,4167 is 1 .

LCM of 616,559 is 344344.

The greatest common factor of 9203/616,4167/559 = [GCF of 9203,4167]/[LCM of 616,559]= 1/344344

Therefore, the GCF of 9203/616,4167/559 is 1/344344.

Greatest Common Factor of 9203,4167

To find the highest common factor of 9203,4167, we have to find the factors of both numbers and list the highest common factor.

The factors of 9203 are 1, 9203

The factors of 4167 are 1, 3, 9, 463, 1389, 4167

The HCF of 9203,4167 is 1.

Lets's calculate GCF of 9203,4167

Greatest Common Factor (GCF) of 9203,4167 By Common Division

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

Greatest Common Factor of 9203,4167 By Matching Biggest Common Factor Method

Now, list down the factors of 9203

1,9203

Now, list down the factors of 4167

1,3,9,463,1389,4167

Greatest Common Factor

We found the factors 9203,4167 . The biggest common factor number is the GCF number.
So the greatest common factor 9203,4167 is 1.

Lets's calculate LCM of 616,559

Lowest Common Multiple of 616,559 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 344344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/344344

Therefore, the GCF of Fractions 9203/616,4167/559 is 1/344344

Least Common Multiple of 616,559 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 616,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,559) = 1

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

GCF(616,559) x common factors =1 x 1 = 1

LCM(616,559) = ( 616 × 559 ) / 1

LCM(616,559) = 344344 / 1

LCM(616,559) = 344344

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FAQs on GCF of Fractions of 9203/616, 4167/559

1. What is the HCF of 9203,4167?

The HCF of 9203,4167 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 9203/616, 4167/559?

Answer: GCF of Numerators as per given numbers 9203/616, 4167/559 is

GCF of Numerators i.e. for 9203,4167 is 1

LCM of denominators i.e. for 616,559 is 344344.

Thus, GCF of Fractions is 1/344344.Finally, GCF of Fractions for 9203/616, 4167/559 is 1/344344.