GCF of 8603/708, 9316/1464
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8603/708, 9316/1464 i.e 1/86376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8603/708, 9316/1464.
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 8603/708,9316/1464?
Given fractions are 8603/708,9316/1464
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 8603/708,9316/1464, numerators are 8603,9316
Denominators are 708,1464
The GCF of 8603,9316 is 1 .
LCM of 708,1464 is 86376.
The greatest common factor of 8603/708,9316/1464 = [GCF of 8603,9316]/[LCM of 708,1464]= 1/86376
Therefore, the GCF of 8603/708,9316/1464 is 1/86376.
To find the highest common factor of 8603,9316, we have to find the factors of both numbers and list the highest common factor.
The factors of 8603 are 1, 7, 1229, 8603
The factors of 9316 are 1, 2, 4, 17, 34, 68, 137, 274, 548, 2329, 4658, 9316
The HCF of 8603,9316 is 1.
Lets's calculate GCF of 8603,9316
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8603,9316 By Matching Biggest Common Factor Method
Now, list down the factors of 8603
:1,7,1229,8603
Now, list down the factors of 9316
:1,2,4,17,34,68,137,274,548,2329,4658,9316
Greatest Common Factor
We found the factors 8603,9316 . The biggest common factor number is the GCF number.
So the greatest common factor 8603,9316 is 1.
Lets's calculate LCM of 708,1464
| 2 | 708, 1464 |
| 2 | 354, 732 |
| 3 | 177, 366 |
| 59, 122 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 59 x 122 = 86376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86376
Therefore, the GCF of Fractions 8603/708,9316/1464 is 1/86376
Least Common Multiple of 708,1464 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 708,1464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(708,1464) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(708,1464) x common factors =12 x 1 = 12
LCM(708,1464) = ( 708 × 1464 ) / 12
LCM(708,1464) = 1036512 / 12
LCM(708,1464) = 86376
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FAQs on GCF of Fractions of 8603/708, 9316/1464
1. What is the HCF of 8603,9316?
The HCF of 8603,9316 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 8603/708, 9316/1464?
Answer: GCF of Numerators as per given numbers 8603/708, 9316/1464 is
GCF of Numerators i.e. for 8603,9316 is 1
LCM of denominators i.e. for 708,1464 is 86376.
Thus, GCF of Fractions is 1/86376.Finally, GCF of Fractions for 8603/708, 9316/1464 is 1/86376.