GCF of 591/65, 642/995
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 591/65, 642/995 i.e 3/12935 easily. The following is the detailed procedure to determine the greatest common factor of fractions 591/65, 642/995.
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 591/65,642/995?
Given fractions are 591/65,642/995
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 591/65,642/995, numerators are 591,642
Denominators are 65,995
The GCF of 591,642 is 3 .
LCM of 65,995 is 12935.
The greatest common factor of 591/65,642/995 = [GCF of 591,642]/[LCM of 65,995]= 3/12935
Therefore, the GCF of 591/65,642/995 is 3/12935.
To find the highest common factor of 591,642, we have to find the factors of both numbers and list the highest common factor.
The factors of 591 are 1, 3, 197, 591
The factors of 642 are 1, 2, 3, 6, 107, 214, 321, 642
The HCF of 591,642 is 3.
Lets's calculate GCF of 591,642
| 3 | 591, 642 |
| 197, 214 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 591,642 By Matching Biggest Common Factor Method
Now, list down the factors of 591
:1,3,197,591
Now, list down the factors of 642
:1,2,3,6,107,214,321,642
Greatest Common Factor
We found the factors 591,642 . The biggest common factor number is the GCF number.
So the greatest common factor 591,642 is 3.
Lets's calculate LCM of 65,995
| 5 | 65, 995 |
| 13, 199 |
∴ So the LCM of the given numbers is 5 x 13 x 199 = 12935
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/12935
Therefore, the GCF of Fractions 591/65,642/995 is 3/12935
Least Common Multiple of 65,995 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 65,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,995) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(65,995) x common factors =5 x 1 = 5
LCM(65,995) = ( 65 × 995 ) / 5
LCM(65,995) = 64675 / 5
LCM(65,995) = 12935
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FAQs on GCF of Fractions of 591/65, 642/995
1. What is the HCF of 591,642?
The HCF of 591,642 is 3
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 591/65, 642/995?
Answer: GCF of Numerators as per given numbers 591/65, 642/995 is
GCF of Numerators i.e. for 591,642 is 3
LCM of denominators i.e. for 65,995 is 12935.
Thus, GCF of Fractions is 3/12935.Finally, GCF of Fractions for 591/65, 642/995 is 3/12935.