GCF of 8396/590, 8732/107
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8396/590, 8732/107 i.e 4/63130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8396/590, 8732/107.
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 8396/590,8732/107?
Given fractions are 8396/590,8732/107
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 8396/590,8732/107, numerators are 8396,8732
Denominators are 590,107
The GCF of 8396,8732 is 4 .
LCM of 590,107 is 63130.
The greatest common factor of 8396/590,8732/107 = [GCF of 8396,8732]/[LCM of 590,107]= 4/63130
Therefore, the GCF of 8396/590,8732/107 is 4/63130.
To find the highest common factor of 8396,8732, we have to find the factors of both numbers and list the highest common factor.
The factors of 8396 are 1, 2, 4, 2099, 4198, 8396
The factors of 8732 are 1, 2, 4, 37, 59, 74, 118, 148, 236, 2183, 4366, 8732
The HCF of 8396,8732 is 4.
Lets's calculate GCF of 8396,8732
| 2 | 8396, 8732 |
| 2 | 4198, 4366 |
| 2099, 2183 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8396,8732 By Matching Biggest Common Factor Method
Now, list down the factors of 8396
:1,2,4,2099,4198,8396
Now, list down the factors of 8732
:1,2,4,37,59,74,118,148,236,2183,4366,8732
Greatest Common Factor
We found the factors 8396,8732 . The biggest common factor number is the GCF number.
So the greatest common factor 8396,8732 is 4.
Lets's calculate LCM of 590,107
Given numbers has no common factors except 1. So, there LCM is their product i.e 63130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/63130
Therefore, the GCF of Fractions 8396/590,8732/107 is 4/63130
Least Common Multiple of 590,107 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 590,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(590,107) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(590,107) x common factors =1 x 1 = 1
LCM(590,107) = ( 590 × 107 ) / 1
LCM(590,107) = 63130 / 1
LCM(590,107) = 63130
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FAQs on GCF of Fractions of 8396/590, 8732/107
1. What is the HCF of 8396,8732?
The HCF of 8396,8732 is 4
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 8396/590, 8732/107?
Answer: GCF of Numerators as per given numbers 8396/590, 8732/107 is
GCF of Numerators i.e. for 8396,8732 is 4
LCM of denominators i.e. for 590,107 is 63130.
Thus, GCF of Fractions is 4/63130.Finally, GCF of Fractions for 8396/590, 8732/107 is 4/63130.