GCF of 81/970, 9882/9506
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 81/970, 9882/9506 i.e 81/47530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 81/970, 9882/9506.
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 81/970,9882/9506?
Given fractions are 81/970,9882/9506
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 81/970,9882/9506, numerators are 81,9882
Denominators are 970,9506
The GCF of 81,9882 is 81 .
LCM of 970,9506 is 47530.
The greatest common factor of 81/970,9882/9506 = [GCF of 81,9882]/[LCM of 970,9506]= 81/47530
Therefore, the GCF of 81/970,9882/9506 is 81/47530.
To find the highest common factor of 81,9882, we have to find the factors of both numbers and list the highest common factor.
The factors of 81 are 1, 3, 9, 27, 81
The factors of 9882 are 1, 2, 3, 6, 9, 18, 27, 54, 61, 81, 122, 162, 183, 366, 549, 1098, 1647, 3294, 4941, 9882
The HCF of 81,9882 is 81.
Lets's calculate GCF of 81,9882
| 3 | 81, 9882 |
| 3 | 27, 3294 |
| 3 | 9, 1098 |
| 3 | 3, 366 |
| 1, 122 |
∴ So the GCF of the given numbers is 3 x 3 x 3 x 3 = 81
Greatest Common Factor of 81,9882 By Matching Biggest Common Factor Method
Now, list down the factors of 81
:1,3,9,27,81
Now, list down the factors of 9882
:1,2,3,6,9,18,27,54,61,81,122,162,183,366,549,1098,1647,3294,4941,9882
Greatest Common Factor
We found the factors 81,9882 . The biggest common factor number is the GCF number.
So the greatest common factor 81,9882 is 81.
Lets's calculate LCM of 970,9506
| 2 | 970, 9506 |
| 97 | 485, 4753 |
| 5, 49 |
∴ So the LCM of the given numbers is 2 x 97 x 5 x 49 = 47530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 81/47530
Therefore, the GCF of Fractions 81/970,9882/9506 is 81/47530
Least Common Multiple of 970,9506 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 970,9506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,9506) = 194
common factors(in case of two or more numbers have common factors) = 1
GCF(970,9506) x common factors =194 x 1 = 194
LCM(970,9506) = ( 970 × 9506 ) / 194
LCM(970,9506) = 9220820 / 194
LCM(970,9506) = 47530
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FAQs on GCF of Fractions of 81/970, 9882/9506
1. What is the HCF of 81,9882?
The HCF of 81,9882 is 81
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 81/970, 9882/9506?
Answer: GCF of Numerators as per given numbers 81/970, 9882/9506 is
GCF of Numerators i.e. for 81,9882 is 81
LCM of denominators i.e. for 970,9506 is 47530.
Thus, GCF of Fractions is 81/47530.Finally, GCF of Fractions for 81/970, 9882/9506 is 81/47530.