GCF of 9920/839, 5385/8548
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9920/839, 5385/8548 i.e 5/7171772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9920/839, 5385/8548.
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 9920/839,5385/8548?
Given fractions are 9920/839,5385/8548
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 9920/839,5385/8548, numerators are 9920,5385
Denominators are 839,8548
The GCF of 9920,5385 is 5 .
LCM of 839,8548 is 7171772.
The greatest common factor of 9920/839,5385/8548 = [GCF of 9920,5385]/[LCM of 839,8548]= 5/7171772
Therefore, the GCF of 9920/839,5385/8548 is 5/7171772.
To find the highest common factor of 9920,5385, we have to find the factors of both numbers and list the highest common factor.
The factors of 9920 are 1, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 64, 80, 124, 155, 160, 248, 310, 320, 496, 620, 992, 1240, 1984, 2480, 4960, 9920
The factors of 5385 are 1, 3, 5, 15, 359, 1077, 1795, 5385
The HCF of 9920,5385 is 5.
Lets's calculate GCF of 9920,5385
| 5 | 9920, 5385 |
| 1984, 1077 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9920,5385 By Matching Biggest Common Factor Method
Now, list down the factors of 9920
:1,2,4,5,8,10,16,20,31,32,40,62,64,80,124,155,160,248,310,320,496,620,992,1240,1984,2480,4960,9920
Now, list down the factors of 5385
:1,3,5,15,359,1077,1795,5385
Greatest Common Factor
We found the factors 9920,5385 . The biggest common factor number is the GCF number.
So the greatest common factor 9920,5385 is 5.
Lets's calculate LCM of 839,8548
Given numbers has no common factors except 1. So, there LCM is their product i.e 7171772
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/7171772
Therefore, the GCF of Fractions 9920/839,5385/8548 is 5/7171772
Least Common Multiple of 839,8548 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 839,8548 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(839,8548) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(839,8548) x common factors =1 x 1 = 1
LCM(839,8548) = ( 839 × 8548 ) / 1
LCM(839,8548) = 7171772 / 1
LCM(839,8548) = 7171772
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FAQs on GCF of Fractions of 9920/839, 5385/8548
1. What is the HCF of 9920,5385?
The HCF of 9920,5385 is 5
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 9920/839, 5385/8548?
Answer: GCF of Numerators as per given numbers 9920/839, 5385/8548 is
GCF of Numerators i.e. for 9920,5385 is 5
LCM of denominators i.e. for 839,8548 is 7171772.
Thus, GCF of Fractions is 5/7171772.Finally, GCF of Fractions for 9920/839, 5385/8548 is 5/7171772.