GCF of 8665/492, 3135/6883
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8665/492, 3135/6883 i.e 5/3386436 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8665/492, 3135/6883.
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 8665/492,3135/6883?
Given fractions are 8665/492,3135/6883
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 8665/492,3135/6883, numerators are 8665,3135
Denominators are 492,6883
The GCF of 8665,3135 is 5 .
LCM of 492,6883 is 3386436.
The greatest common factor of 8665/492,3135/6883 = [GCF of 8665,3135]/[LCM of 492,6883]= 5/3386436
Therefore, the GCF of 8665/492,3135/6883 is 5/3386436.
To find the highest common factor of 8665,3135, we have to find the factors of both numbers and list the highest common factor.
The factors of 8665 are 1, 5, 1733, 8665
The factors of 3135 are 1, 3, 5, 11, 15, 19, 33, 55, 57, 95, 165, 209, 285, 627, 1045, 3135
The HCF of 8665,3135 is 5.
Lets's calculate GCF of 8665,3135
| 5 | 8665, 3135 |
| 1733, 627 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8665,3135 By Matching Biggest Common Factor Method
Now, list down the factors of 8665
:1,5,1733,8665
Now, list down the factors of 3135
:1,3,5,11,15,19,33,55,57,95,165,209,285,627,1045,3135
Greatest Common Factor
We found the factors 8665,3135 . The biggest common factor number is the GCF number.
So the greatest common factor 8665,3135 is 5.
Lets's calculate LCM of 492,6883
Given numbers has no common factors except 1. So, there LCM is their product i.e 3386436
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3386436
Therefore, the GCF of Fractions 8665/492,3135/6883 is 5/3386436
Least Common Multiple of 492,6883 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 492,6883 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(492,6883) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(492,6883) x common factors =1 x 1 = 1
LCM(492,6883) = ( 492 × 6883 ) / 1
LCM(492,6883) = 3386436 / 1
LCM(492,6883) = 3386436
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FAQs on GCF of Fractions of 8665/492, 3135/6883
1. What is the HCF of 8665,3135?
The HCF of 8665,3135 is 5
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 8665/492, 3135/6883?
Answer: GCF of Numerators as per given numbers 8665/492, 3135/6883 is
GCF of Numerators i.e. for 8665,3135 is 5
LCM of denominators i.e. for 492,6883 is 3386436.
Thus, GCF of Fractions is 5/3386436.Finally, GCF of Fractions for 8665/492, 3135/6883 is 5/3386436.