GCF of 9899/786, 8021/5003
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9899/786, 8021/5003 i.e 1/3932358 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9899/786, 8021/5003.
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 9899/786,8021/5003?
Given fractions are 9899/786,8021/5003
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 9899/786,8021/5003, numerators are 9899,8021
Denominators are 786,5003
The GCF of 9899,8021 is 1 .
LCM of 786,5003 is 3932358.
The greatest common factor of 9899/786,8021/5003 = [GCF of 9899,8021]/[LCM of 786,5003]= 1/3932358
Therefore, the GCF of 9899/786,8021/5003 is 1/3932358.
To find the highest common factor of 9899,8021, we have to find the factors of both numbers and list the highest common factor.
The factors of 9899 are 1, 19, 521, 9899
The factors of 8021 are 1, 13, 617, 8021
The HCF of 9899,8021 is 1.
Lets's calculate GCF of 9899,8021
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9899,8021 By Matching Biggest Common Factor Method
Now, list down the factors of 9899
:1,19,521,9899
Now, list down the factors of 8021
:1,13,617,8021
Greatest Common Factor
We found the factors 9899,8021 . The biggest common factor number is the GCF number.
So the greatest common factor 9899,8021 is 1.
Lets's calculate LCM of 786,5003
Given numbers has no common factors except 1. So, there LCM is their product i.e 3932358
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3932358
Therefore, the GCF of Fractions 9899/786,8021/5003 is 1/3932358
Least Common Multiple of 786,5003 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 786,5003 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(786,5003) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(786,5003) x common factors =1 x 1 = 1
LCM(786,5003) = ( 786 × 5003 ) / 1
LCM(786,5003) = 3932358 / 1
LCM(786,5003) = 3932358
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FAQs on GCF of Fractions of 9899/786, 8021/5003
1. What is the HCF of 9899,8021?
The HCF of 9899,8021 is 1
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 9899/786, 8021/5003?
Answer: GCF of Numerators as per given numbers 9899/786, 8021/5003 is
GCF of Numerators i.e. for 9899,8021 is 1
LCM of denominators i.e. for 786,5003 is 3932358.
Thus, GCF of Fractions is 1/3932358.Finally, GCF of Fractions for 9899/786, 8021/5003 is 1/3932358.