GCF of 598/594, 2264/167
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 598/594, 2264/167 i.e 2/99198 easily. The following is the detailed procedure to determine the greatest common factor of fractions 598/594, 2264/167.
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 598/594,2264/167?
Given fractions are 598/594,2264/167
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 598/594,2264/167, numerators are 598,2264
Denominators are 594,167
The GCF of 598,2264 is 2 .
LCM of 594,167 is 99198.
The greatest common factor of 598/594,2264/167 = [GCF of 598,2264]/[LCM of 594,167]= 2/99198
Therefore, the GCF of 598/594,2264/167 is 2/99198.
To find the highest common factor of 598,2264, 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 2264 are 1, 2, 4, 8, 283, 566, 1132, 2264
The HCF of 598,2264 is 2.
Lets's calculate GCF of 598,2264
| 2 | 598, 2264 |
| 299, 1132 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 598,2264 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 2264
:1,2,4,8,283,566,1132,2264
Greatest Common Factor
We found the factors 598,2264 . The biggest common factor number is the GCF number.
So the greatest common factor 598,2264 is 2.
Lets's calculate LCM of 594,167
Given numbers has no common factors except 1. So, there LCM is their product i.e 99198
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/99198
Therefore, the GCF of Fractions 598/594,2264/167 is 2/99198
Least Common Multiple of 594,167 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 594,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(594,167) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(594,167) x common factors =1 x 1 = 1
LCM(594,167) = ( 594 × 167 ) / 1
LCM(594,167) = 99198 / 1
LCM(594,167) = 99198
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FAQs on GCF of Fractions of 598/594, 2264/167
1. What is the HCF of 598,2264?
The HCF of 598,2264 is 2
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 598/594, 2264/167?
Answer: GCF of Numerators as per given numbers 598/594, 2264/167 is
GCF of Numerators i.e. for 598,2264 is 2
LCM of denominators i.e. for 594,167 is 99198.
Thus, GCF of Fractions is 2/99198.Finally, GCF of Fractions for 598/594, 2264/167 is 2/99198.