GCF of 8659/106, 4526/8342
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8659/106, 4526/8342 i.e 1/442126 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8659/106, 4526/8342.
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 8659/106,4526/8342?
Given fractions are 8659/106,4526/8342
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 8659/106,4526/8342, numerators are 8659,4526
Denominators are 106,8342
The GCF of 8659,4526 is 1 .
LCM of 106,8342 is 442126.
The greatest common factor of 8659/106,4526/8342 = [GCF of 8659,4526]/[LCM of 106,8342]= 1/442126
Therefore, the GCF of 8659/106,4526/8342 is 1/442126.
To find the highest common factor of 8659,4526, we have to find the factors of both numbers and list the highest common factor.
The factors of 8659 are 1, 7, 1237, 8659
The factors of 4526 are 1, 2, 31, 62, 73, 146, 2263, 4526
The HCF of 8659,4526 is 1.
Lets's calculate GCF of 8659,4526
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8659,4526 By Matching Biggest Common Factor Method
Now, list down the factors of 8659
:1,7,1237,8659
Now, list down the factors of 4526
:1,2,31,62,73,146,2263,4526
Greatest Common Factor
We found the factors 8659,4526 . The biggest common factor number is the GCF number.
So the greatest common factor 8659,4526 is 1.
Lets's calculate LCM of 106,8342
| 2 | 106, 8342 |
| 53, 4171 |
∴ So the LCM of the given numbers is 2 x 53 x 4171 = 442126
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/442126
Therefore, the GCF of Fractions 8659/106,4526/8342 is 1/442126
Least Common Multiple of 106,8342 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 106,8342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(106,8342) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(106,8342) x common factors =2 x 1 = 2
LCM(106,8342) = ( 106 × 8342 ) / 2
LCM(106,8342) = 884252 / 2
LCM(106,8342) = 442126
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FAQs on GCF of Fractions of 8659/106, 4526/8342
1. What is the HCF of 8659,4526?
The HCF of 8659,4526 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 8659/106, 4526/8342?
Answer: GCF of Numerators as per given numbers 8659/106, 4526/8342 is
GCF of Numerators i.e. for 8659,4526 is 1
LCM of denominators i.e. for 106,8342 is 442126.
Thus, GCF of Fractions is 1/442126.Finally, GCF of Fractions for 8659/106, 4526/8342 is 1/442126.