GCF of 9986/531, 6551/114
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9986/531, 6551/114 i.e 1/20178 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9986/531, 6551/114.
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 9986/531,6551/114?
Given fractions are 9986/531,6551/114
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 9986/531,6551/114, numerators are 9986,6551
Denominators are 531,114
The GCF of 9986,6551 is 1 .
LCM of 531,114 is 20178.
The greatest common factor of 9986/531,6551/114 = [GCF of 9986,6551]/[LCM of 531,114]= 1/20178
Therefore, the GCF of 9986/531,6551/114 is 1/20178.
To find the highest common factor of 9986,6551, we have to find the factors of both numbers and list the highest common factor.
The factors of 9986 are 1, 2, 4993, 9986
The factors of 6551 are 1, 6551
The HCF of 9986,6551 is 1.
Lets's calculate GCF of 9986,6551
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9986,6551 By Matching Biggest Common Factor Method
Now, list down the factors of 9986
:1,2,4993,9986
Now, list down the factors of 6551
:1,6551
Greatest Common Factor
We found the factors 9986,6551 . The biggest common factor number is the GCF number.
So the greatest common factor 9986,6551 is 1.
Lets's calculate LCM of 531,114
| 3 | 531, 114 |
| 177, 38 |
∴ So the LCM of the given numbers is 3 x 177 x 38 = 20178
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20178
Therefore, the GCF of Fractions 9986/531,6551/114 is 1/20178
Least Common Multiple of 531,114 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 531,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(531,114) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(531,114) x common factors =3 x 1 = 3
LCM(531,114) = ( 531 × 114 ) / 3
LCM(531,114) = 60534 / 3
LCM(531,114) = 20178
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FAQs on GCF of Fractions of 9986/531, 6551/114
1. What is the HCF of 9986,6551?
The HCF of 9986,6551 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 9986/531, 6551/114?
Answer: GCF of Numerators as per given numbers 9986/531, 6551/114 is
GCF of Numerators i.e. for 9986,6551 is 1
LCM of denominators i.e. for 531,114 is 20178.
Thus, GCF of Fractions is 1/20178.Finally, GCF of Fractions for 9986/531, 6551/114 is 1/20178.