GCF of 9800/663, 6032/3865
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9800/663, 6032/3865 i.e 8/2562495 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9800/663, 6032/3865.
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 9800/663,6032/3865?
Given fractions are 9800/663,6032/3865
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 9800/663,6032/3865, numerators are 9800,6032
Denominators are 663,3865
The GCF of 9800,6032 is 8 .
LCM of 663,3865 is 2562495.
The greatest common factor of 9800/663,6032/3865 = [GCF of 9800,6032]/[LCM of 663,3865]= 8/2562495
Therefore, the GCF of 9800/663,6032/3865 is 8/2562495.
To find the highest common factor of 9800,6032, we have to find the factors of both numbers and list the highest common factor.
The factors of 9800 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 49, 50, 56, 70, 98, 100, 140, 175, 196, 200, 245, 280, 350, 392, 490, 700, 980, 1225, 1400, 1960, 2450, 4900, 9800
The factors of 6032 are 1, 2, 4, 8, 13, 16, 26, 29, 52, 58, 104, 116, 208, 232, 377, 464, 754, 1508, 3016, 6032
The HCF of 9800,6032 is 8.
Lets's calculate GCF of 9800,6032
| 2 | 9800, 6032 |
| 2 | 4900, 3016 |
| 2 | 2450, 1508 |
| 1225, 754 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 9800,6032 By Matching Biggest Common Factor Method
Now, list down the factors of 9800
:1,2,4,5,7,8,10,14,20,25,28,35,40,49,50,56,70,98,100,140,175,196,200,245,280,350,392,490,700,980,1225,1400,1960,2450,4900,9800
Now, list down the factors of 6032
:1,2,4,8,13,16,26,29,52,58,104,116,208,232,377,464,754,1508,3016,6032
Greatest Common Factor
We found the factors 9800,6032 . The biggest common factor number is the GCF number.
So the greatest common factor 9800,6032 is 8.
Lets's calculate LCM of 663,3865
Given numbers has no common factors except 1. So, there LCM is their product i.e 2562495
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2562495
Therefore, the GCF of Fractions 9800/663,6032/3865 is 8/2562495
Least Common Multiple of 663,3865 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 663,3865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(663,3865) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(663,3865) x common factors =1 x 1 = 1
LCM(663,3865) = ( 663 × 3865 ) / 1
LCM(663,3865) = 2562495 / 1
LCM(663,3865) = 2562495
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FAQs on GCF of Fractions of 9800/663, 6032/3865
1. What is the HCF of 9800,6032?
The HCF of 9800,6032 is 8
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 9800/663, 6032/3865?
Answer: GCF of Numerators as per given numbers 9800/663, 6032/3865 is
GCF of Numerators i.e. for 9800,6032 is 8
LCM of denominators i.e. for 663,3865 is 2562495.
Thus, GCF of Fractions is 8/2562495.Finally, GCF of Fractions for 9800/663, 6032/3865 is 8/2562495.