GCF of 598/18, 239/77, 752/97
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 598/18, 239/77, 752/97 i.e 1/134442 easily. The following is the detailed procedure to determine the greatest common factor of fractions 598/18, 239/77, 752/97.
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 598/18,239/77,752/97?
Given fractions are 598/18,239/77,752/97
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 598/18,239/77,752/97, numerators are 598,239,752
Denominators are 18,77,97
The GCF of 598,239,752 is 1 .
LCM of 18,77,97 is 134442.
The greatest common factor of 598/18,239/77,752/97 = [GCF of 598,239,752]/[LCM of 18,77,97]= 1/134442
Therefore, the GCF of 598/18,239/77,752/97 is 1/134442.
To find the highest common factor of 598,239,752, 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 239 are 1, 239
The factors of 752 are 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
The HCF of 598,239,752 is 1.
Lets's calculate GCF of 598,239,752
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 598,239,752 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 239
:1,239
Now, list down the factors of 752
:1,2,4,8,16,47,94,188,376,752
Greatest Common Factor
We found the factors 598,239,752 . The biggest common factor number is the GCF number.
So the greatest common factor 598,239,752 is 1.
Lets's calculate LCM of 18,77,97
Given numbers has no common factors except 1. So, there LCM is their product i.e 134442
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/134442
Therefore, the GCF of Fractions 598/18,239/77,752/97 is 1/134442
Least Common Multiple of 18,77,97 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 18,77,97 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,77,97) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(18,77,97) x common factors =1 x 1 = 1
LCM(18,77,97) = ( 18 × 77 × 97 ) / 1
LCM(18,77,97) = 134442 / 1
LCM(18,77,97) = 134442
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FAQs on GCF of Fractions of 598/18, 239/77, 752/97
1. What is the HCF of 598,239,752?
The HCF of 598,239,752 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 598/18, 239/77, 752/97?
Answer: GCF of Numerators as per given numbers 598/18, 239/77, 752/97 is
GCF of Numerators i.e. for 598,239,752 is 1
LCM of denominators i.e. for 18,77,97 is 134442.
Thus, GCF of Fractions is 1/134442.Finally, GCF of Fractions for 598/18, 239/77, 752/97 is 1/134442.