GCF of 8634/186, 3809/3132
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8634/186, 3809/3132 i.e 1/97092 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8634/186, 3809/3132.
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 8634/186,3809/3132?
Given fractions are 8634/186,3809/3132
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 8634/186,3809/3132, numerators are 8634,3809
Denominators are 186,3132
The GCF of 8634,3809 is 1 .
LCM of 186,3132 is 97092.
The greatest common factor of 8634/186,3809/3132 = [GCF of 8634,3809]/[LCM of 186,3132]= 1/97092
Therefore, the GCF of 8634/186,3809/3132 is 1/97092.
To find the highest common factor of 8634,3809, we have to find the factors of both numbers and list the highest common factor.
The factors of 8634 are 1, 2, 3, 6, 1439, 2878, 4317, 8634
The factors of 3809 are 1, 13, 293, 3809
The HCF of 8634,3809 is 1.
Lets's calculate GCF of 8634,3809
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8634,3809 By Matching Biggest Common Factor Method
Now, list down the factors of 8634
:1,2,3,6,1439,2878,4317,8634
Now, list down the factors of 3809
:1,13,293,3809
Greatest Common Factor
We found the factors 8634,3809 . The biggest common factor number is the GCF number.
So the greatest common factor 8634,3809 is 1.
Lets's calculate LCM of 186,3132
| 2 | 186, 3132 |
| 3 | 93, 1566 |
| 31, 522 |
∴ So the LCM of the given numbers is 2 x 3 x 31 x 522 = 97092
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/97092
Therefore, the GCF of Fractions 8634/186,3809/3132 is 1/97092
Least Common Multiple of 186,3132 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 186,3132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(186,3132) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(186,3132) x common factors =6 x 1 = 6
LCM(186,3132) = ( 186 × 3132 ) / 6
LCM(186,3132) = 582552 / 6
LCM(186,3132) = 97092
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FAQs on GCF of Fractions of 8634/186, 3809/3132
1. What is the HCF of 8634,3809?
The HCF of 8634,3809 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 8634/186, 3809/3132?
Answer: GCF of Numerators as per given numbers 8634/186, 3809/3132 is
GCF of Numerators i.e. for 8634,3809 is 1
LCM of denominators i.e. for 186,3132 is 97092.
Thus, GCF of Fractions is 1/97092.Finally, GCF of Fractions for 8634/186, 3809/3132 is 1/97092.