GCF of 598/367, 7347/459
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 598/367, 7347/459 i.e 1/168453 easily. The following is the detailed procedure to determine the greatest common factor of fractions 598/367, 7347/459.
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 598/367,7347/459?
Given fractions are 598/367,7347/459
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 598/367,7347/459, numerators are 598,7347
Denominators are 367,459
The GCF of 598,7347 is 1 .
LCM of 367,459 is 168453.
The greatest common factor of 598/367,7347/459 = [GCF of 598,7347]/[LCM of 367,459]= 1/168453
Therefore, the GCF of 598/367,7347/459 is 1/168453.
To find the highest common factor of 598,7347, we have to find the factors of both numbers and list the highest common factor.
The factors of 598 are 1, 2, 13, 23, 26, 46, 299, 598
The factors of 7347 are 1, 3, 31, 79, 93, 237, 2449, 7347
The HCF of 598,7347 is 1.
Lets's calculate GCF of 598,7347
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 598,7347 By Matching Biggest Common Factor Method
Now, list down the factors of 598
:1,2,13,23,26,46,299,598
Now, list down the factors of 7347
:1,3,31,79,93,237,2449,7347
Greatest Common Factor
We found the factors 598,7347 . The biggest common factor number is the GCF number.
So the greatest common factor 598,7347 is 1.
Lets's calculate LCM of 367,459
Given numbers has no common factors except 1. So, there LCM is their product i.e 168453
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/168453
Therefore, the GCF of Fractions 598/367,7347/459 is 1/168453
Least Common Multiple of 367,459 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 367,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(367,459) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(367,459) x common factors =1 x 1 = 1
LCM(367,459) = ( 367 × 459 ) / 1
LCM(367,459) = 168453 / 1
LCM(367,459) = 168453
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FAQs on GCF of Fractions of 598/367, 7347/459
1. What is the HCF of 598,7347?
The HCF of 598,7347 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 598/367, 7347/459?
Answer: GCF of Numerators as per given numbers 598/367, 7347/459 is
GCF of Numerators i.e. for 598,7347 is 1
LCM of denominators i.e. for 367,459 is 168453.
Thus, GCF of Fractions is 1/168453.Finally, GCF of Fractions for 598/367, 7347/459 is 1/168453.