GCF of 8679/420, 1659/8615
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8679/420, 1659/8615 i.e 3/723660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8679/420, 1659/8615.
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 8679/420,1659/8615?
Given fractions are 8679/420,1659/8615
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 8679/420,1659/8615, numerators are 8679,1659
Denominators are 420,8615
The GCF of 8679,1659 is 3 .
LCM of 420,8615 is 723660.
The greatest common factor of 8679/420,1659/8615 = [GCF of 8679,1659]/[LCM of 420,8615]= 3/723660
Therefore, the GCF of 8679/420,1659/8615 is 3/723660.
To find the highest common factor of 8679,1659, we have to find the factors of both numbers and list the highest common factor.
The factors of 8679 are 1, 3, 11, 33, 263, 789, 2893, 8679
The factors of 1659 are 1, 3, 7, 21, 79, 237, 553, 1659
The HCF of 8679,1659 is 3.
Lets's calculate GCF of 8679,1659
| 3 | 8679, 1659 |
| 2893, 553 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8679,1659 By Matching Biggest Common Factor Method
Now, list down the factors of 8679
:1,3,11,33,263,789,2893,8679
Now, list down the factors of 1659
:1,3,7,21,79,237,553,1659
Greatest Common Factor
We found the factors 8679,1659 . The biggest common factor number is the GCF number.
So the greatest common factor 8679,1659 is 3.
Lets's calculate LCM of 420,8615
| 5 | 420, 8615 |
| 84, 1723 |
∴ So the LCM of the given numbers is 5 x 84 x 1723 = 723660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/723660
Therefore, the GCF of Fractions 8679/420,1659/8615 is 3/723660
Least Common Multiple of 420,8615 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 420,8615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,8615) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(420,8615) x common factors =5 x 1 = 5
LCM(420,8615) = ( 420 × 8615 ) / 5
LCM(420,8615) = 3618300 / 5
LCM(420,8615) = 723660
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FAQs on GCF of Fractions of 8679/420, 1659/8615
1. What is the HCF of 8679,1659?
The HCF of 8679,1659 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 8679/420, 1659/8615?
Answer: GCF of Numerators as per given numbers 8679/420, 1659/8615 is
GCF of Numerators i.e. for 8679,1659 is 3
LCM of denominators i.e. for 420,8615 is 723660.
Thus, GCF of Fractions is 3/723660.Finally, GCF of Fractions for 8679/420, 1659/8615 is 3/723660.