GCF of 81/742, 9366/1253
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 81/742, 9366/1253 i.e 3/132818 easily. The following is the detailed procedure to determine the greatest common factor of fractions 81/742, 9366/1253.
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 81/742,9366/1253?
Given fractions are 81/742,9366/1253
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 81/742,9366/1253, numerators are 81,9366
Denominators are 742,1253
The GCF of 81,9366 is 3 .
LCM of 742,1253 is 132818.
The greatest common factor of 81/742,9366/1253 = [GCF of 81,9366]/[LCM of 742,1253]= 3/132818
Therefore, the GCF of 81/742,9366/1253 is 3/132818.
To find the highest common factor of 81,9366, 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 9366 are 1, 2, 3, 6, 7, 14, 21, 42, 223, 446, 669, 1338, 1561, 3122, 4683, 9366
The HCF of 81,9366 is 3.
Lets's calculate GCF of 81,9366
| 3 | 81, 9366 |
| 27, 3122 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 81,9366 By Matching Biggest Common Factor Method
Now, list down the factors of 81
:1,3,9,27,81
Now, list down the factors of 9366
:1,2,3,6,7,14,21,42,223,446,669,1338,1561,3122,4683,9366
Greatest Common Factor
We found the factors 81,9366 . The biggest common factor number is the GCF number.
So the greatest common factor 81,9366 is 3.
Lets's calculate LCM of 742,1253
| 7 | 742, 1253 |
| 106, 179 |
∴ So the LCM of the given numbers is 7 x 106 x 179 = 132818
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/132818
Therefore, the GCF of Fractions 81/742,9366/1253 is 3/132818
Least Common Multiple of 742,1253 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 742,1253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(742,1253) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(742,1253) x common factors =7 x 1 = 7
LCM(742,1253) = ( 742 × 1253 ) / 7
LCM(742,1253) = 929726 / 7
LCM(742,1253) = 132818
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FAQs on GCF of Fractions of 81/742, 9366/1253
1. What is the HCF of 81,9366?
The HCF of 81,9366 is 3
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 81/742, 9366/1253?
Answer: GCF of Numerators as per given numbers 81/742, 9366/1253 is
GCF of Numerators i.e. for 81,9366 is 3
LCM of denominators i.e. for 742,1253 is 132818.
Thus, GCF of Fractions is 3/132818.Finally, GCF of Fractions for 81/742, 9366/1253 is 3/132818.