GCF of 9568/304, 3610/6565
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9568/304, 3610/6565 i.e 2/1995760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9568/304, 3610/6565.
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 9568/304,3610/6565?
Given fractions are 9568/304,3610/6565
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 9568/304,3610/6565, numerators are 9568,3610
Denominators are 304,6565
The GCF of 9568,3610 is 2 .
LCM of 304,6565 is 1995760.
The greatest common factor of 9568/304,3610/6565 = [GCF of 9568,3610]/[LCM of 304,6565]= 2/1995760
Therefore, the GCF of 9568/304,3610/6565 is 2/1995760.
To find the highest common factor of 9568,3610, we have to find the factors of both numbers and list the highest common factor.
The factors of 9568 are 1, 2, 4, 8, 13, 16, 23, 26, 32, 46, 52, 92, 104, 184, 208, 299, 368, 416, 598, 736, 1196, 2392, 4784, 9568
The factors of 3610 are 1, 2, 5, 10, 19, 38, 95, 190, 361, 722, 1805, 3610
The HCF of 9568,3610 is 2.
Lets's calculate GCF of 9568,3610
| 2 | 9568, 3610 |
| 4784, 1805 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9568,3610 By Matching Biggest Common Factor Method
Now, list down the factors of 9568
:1,2,4,8,13,16,23,26,32,46,52,92,104,184,208,299,368,416,598,736,1196,2392,4784,9568
Now, list down the factors of 3610
:1,2,5,10,19,38,95,190,361,722,1805,3610
Greatest Common Factor
We found the factors 9568,3610 . The biggest common factor number is the GCF number.
So the greatest common factor 9568,3610 is 2.
Lets's calculate LCM of 304,6565
Given numbers has no common factors except 1. So, there LCM is their product i.e 1995760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1995760
Therefore, the GCF of Fractions 9568/304,3610/6565 is 2/1995760
Least Common Multiple of 304,6565 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 304,6565 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(304,6565) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(304,6565) x common factors =1 x 1 = 1
LCM(304,6565) = ( 304 × 6565 ) / 1
LCM(304,6565) = 1995760 / 1
LCM(304,6565) = 1995760
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FAQs on GCF of Fractions of 9568/304, 3610/6565
1. What is the HCF of 9568,3610?
The HCF of 9568,3610 is 2
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 9568/304, 3610/6565?
Answer: GCF of Numerators as per given numbers 9568/304, 3610/6565 is
GCF of Numerators i.e. for 9568,3610 is 2
LCM of denominators i.e. for 304,6565 is 1995760.
Thus, GCF of Fractions is 2/1995760.Finally, GCF of Fractions for 9568/304, 3610/6565 is 2/1995760.