GCF of 598/351, 697/908
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 598/351, 697/908 i.e 1/318708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 598/351, 697/908.
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 598/351,697/908?
Given fractions are 598/351,697/908
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 598/351,697/908, numerators are 598,697
Denominators are 351,908
The GCF of 598,697 is 1 .
LCM of 351,908 is 318708.
The greatest common factor of 598/351,697/908 = [GCF of 598,697]/[LCM of 351,908]= 1/318708
Therefore, the GCF of 598/351,697/908 is 1/318708.
To find the highest common factor of 598,697, 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 697 are 1, 17, 41, 697
The HCF of 598,697 is 1.
Lets's calculate GCF of 598,697
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 598,697 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 697
:1,17,41,697
Greatest Common Factor
We found the factors 598,697 . The biggest common factor number is the GCF number.
So the greatest common factor 598,697 is 1.
Lets's calculate LCM of 351,908
Given numbers has no common factors except 1. So, there LCM is their product i.e 318708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/318708
Therefore, the GCF of Fractions 598/351,697/908 is 1/318708
Least Common Multiple of 351,908 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 351,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(351,908) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(351,908) x common factors =1 x 1 = 1
LCM(351,908) = ( 351 × 908 ) / 1
LCM(351,908) = 318708 / 1
LCM(351,908) = 318708
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FAQs on GCF of Fractions of 598/351, 697/908
1. What is the HCF of 598,697?
The HCF of 598,697 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 598/351, 697/908?
Answer: GCF of Numerators as per given numbers 598/351, 697/908 is
GCF of Numerators i.e. for 598,697 is 1
LCM of denominators i.e. for 351,908 is 318708.
Thus, GCF of Fractions is 1/318708.Finally, GCF of Fractions for 598/351, 697/908 is 1/318708.