GCF of 8087/266, 2615/9662
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8087/266, 2615/9662 i.e 1/1285046 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8087/266, 2615/9662.
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 8087/266,2615/9662?
Given fractions are 8087/266,2615/9662
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 8087/266,2615/9662, numerators are 8087,2615
Denominators are 266,9662
The GCF of 8087,2615 is 1 .
LCM of 266,9662 is 1285046.
The greatest common factor of 8087/266,2615/9662 = [GCF of 8087,2615]/[LCM of 266,9662]= 1/1285046
Therefore, the GCF of 8087/266,2615/9662 is 1/1285046.
To find the highest common factor of 8087,2615, we have to find the factors of both numbers and list the highest common factor.
The factors of 8087 are 1, 8087
The factors of 2615 are 1, 5, 523, 2615
The HCF of 8087,2615 is 1.
Lets's calculate GCF of 8087,2615
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8087,2615 By Matching Biggest Common Factor Method
Now, list down the factors of 8087
:1,8087
Now, list down the factors of 2615
:1,5,523,2615
Greatest Common Factor
We found the factors 8087,2615 . The biggest common factor number is the GCF number.
So the greatest common factor 8087,2615 is 1.
Lets's calculate LCM of 266,9662
| 2 | 266, 9662 |
| 133, 4831 |
∴ So the LCM of the given numbers is 2 x 133 x 4831 = 1285046
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1285046
Therefore, the GCF of Fractions 8087/266,2615/9662 is 1/1285046
Least Common Multiple of 266,9662 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 266,9662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(266,9662) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(266,9662) x common factors =2 x 1 = 2
LCM(266,9662) = ( 266 × 9662 ) / 2
LCM(266,9662) = 2570092 / 2
LCM(266,9662) = 1285046
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FAQs on GCF of Fractions of 8087/266, 2615/9662
1. What is the HCF of 8087,2615?
The HCF of 8087,2615 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 8087/266, 2615/9662?
Answer: GCF of Numerators as per given numbers 8087/266, 2615/9662 is
GCF of Numerators i.e. for 8087,2615 is 1
LCM of denominators i.e. for 266,9662 is 1285046.
Thus, GCF of Fractions is 1/1285046.Finally, GCF of Fractions for 8087/266, 2615/9662 is 1/1285046.