GCF of 9862/959, 6362/8591
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9862/959, 6362/8591 i.e 2/8238769 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9862/959, 6362/8591.
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 9862/959,6362/8591?
Given fractions are 9862/959,6362/8591
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 9862/959,6362/8591, numerators are 9862,6362
Denominators are 959,8591
The GCF of 9862,6362 is 2 .
LCM of 959,8591 is 8238769.
The greatest common factor of 9862/959,6362/8591 = [GCF of 9862,6362]/[LCM of 959,8591]= 2/8238769
Therefore, the GCF of 9862/959,6362/8591 is 2/8238769.
To find the highest common factor of 9862,6362, we have to find the factors of both numbers and list the highest common factor.
The factors of 9862 are 1, 2, 4931, 9862
The factors of 6362 are 1, 2, 3181, 6362
The HCF of 9862,6362 is 2.
Lets's calculate GCF of 9862,6362
| 2 | 9862, 6362 |
| 4931, 3181 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9862,6362 By Matching Biggest Common Factor Method
Now, list down the factors of 9862
:1,2,4931,9862
Now, list down the factors of 6362
:1,2,3181,6362
Greatest Common Factor
We found the factors 9862,6362 . The biggest common factor number is the GCF number.
So the greatest common factor 9862,6362 is 2.
Lets's calculate LCM of 959,8591
Given numbers has no common factors except 1. So, there LCM is their product i.e 8238769
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8238769
Therefore, the GCF of Fractions 9862/959,6362/8591 is 2/8238769
Least Common Multiple of 959,8591 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 959,8591 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(959,8591) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(959,8591) x common factors =1 x 1 = 1
LCM(959,8591) = ( 959 × 8591 ) / 1
LCM(959,8591) = 8238769 / 1
LCM(959,8591) = 8238769
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FAQs on GCF of Fractions of 9862/959, 6362/8591
1. What is the HCF of 9862,6362?
The HCF of 9862,6362 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 9862/959, 6362/8591?
Answer: GCF of Numerators as per given numbers 9862/959, 6362/8591 is
GCF of Numerators i.e. for 9862,6362 is 2
LCM of denominators i.e. for 959,8591 is 8238769.
Thus, GCF of Fractions is 2/8238769.Finally, GCF of Fractions for 9862/959, 6362/8591 is 2/8238769.