GCF of 9820/596, 6800/9286
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9820/596, 6800/9286 i.e 20/2767228 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9820/596, 6800/9286.
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 9820/596,6800/9286?
Given fractions are 9820/596,6800/9286
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 9820/596,6800/9286, numerators are 9820,6800
Denominators are 596,9286
The GCF of 9820,6800 is 20 .
LCM of 596,9286 is 2767228.
The greatest common factor of 9820/596,6800/9286 = [GCF of 9820,6800]/[LCM of 596,9286]= 20/2767228
Therefore, the GCF of 9820/596,6800/9286 is 20/2767228.
To find the highest common factor of 9820,6800, we have to find the factors of both numbers and list the highest common factor.
The factors of 9820 are 1, 2, 4, 5, 10, 20, 491, 982, 1964, 2455, 4910, 9820
The factors of 6800 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 25, 34, 40, 50, 68, 80, 85, 100, 136, 170, 200, 272, 340, 400, 425, 680, 850, 1360, 1700, 3400, 6800
The HCF of 9820,6800 is 20.
Lets's calculate GCF of 9820,6800
| 2 | 9820, 6800 |
| 2 | 4910, 3400 |
| 5 | 2455, 1700 |
| 491, 340 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 9820,6800 By Matching Biggest Common Factor Method
Now, list down the factors of 9820
:1,2,4,5,10,20,491,982,1964,2455,4910,9820
Now, list down the factors of 6800
:1,2,4,5,8,10,16,17,20,25,34,40,50,68,80,85,100,136,170,200,272,340,400,425,680,850,1360,1700,3400,6800
Greatest Common Factor
We found the factors 9820,6800 . The biggest common factor number is the GCF number.
So the greatest common factor 9820,6800 is 20.
Lets's calculate LCM of 596,9286
| 2 | 596, 9286 |
| 298, 4643 |
∴ So the LCM of the given numbers is 2 x 298 x 4643 = 2767228
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/2767228
Therefore, the GCF of Fractions 9820/596,6800/9286 is 20/2767228
Least Common Multiple of 596,9286 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 596,9286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,9286) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(596,9286) x common factors =2 x 1 = 2
LCM(596,9286) = ( 596 × 9286 ) / 2
LCM(596,9286) = 5534456 / 2
LCM(596,9286) = 2767228
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FAQs on GCF of Fractions of 9820/596, 6800/9286
1. What is the HCF of 9820,6800?
The HCF of 9820,6800 is 20
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 9820/596, 6800/9286?
Answer: GCF of Numerators as per given numbers 9820/596, 6800/9286 is
GCF of Numerators i.e. for 9820,6800 is 20
LCM of denominators i.e. for 596,9286 is 2767228.
Thus, GCF of Fractions is 20/2767228.Finally, GCF of Fractions for 9820/596, 6800/9286 is 20/2767228.