GCF of 9366/123, 8883/697
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9366/123, 8883/697 i.e 21/2091 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9366/123, 8883/697.
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 9366/123,8883/697?
Given fractions are 9366/123,8883/697
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 9366/123,8883/697, numerators are 9366,8883
Denominators are 123,697
The GCF of 9366,8883 is 21 .
LCM of 123,697 is 2091.
The greatest common factor of 9366/123,8883/697 = [GCF of 9366,8883]/[LCM of 123,697]= 21/2091
Therefore, the GCF of 9366/123,8883/697 is 21/2091.
To find the highest common factor of 9366,8883, we have to find the factors of both numbers and list the highest common factor.
The factors of 9366 are 1, 2, 3, 6, 7, 14, 21, 42, 223, 446, 669, 1338, 1561, 3122, 4683, 9366
The factors of 8883 are 1, 3, 7, 9, 21, 27, 47, 63, 141, 189, 329, 423, 987, 1269, 2961, 8883
The HCF of 9366,8883 is 21.
Lets's calculate GCF of 9366,8883
| 3 | 9366, 8883 |
| 7 | 3122, 2961 |
| 446, 423 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 9366,8883 By Matching Biggest Common Factor Method
Now, list down the factors of 9366
:1,2,3,6,7,14,21,42,223,446,669,1338,1561,3122,4683,9366
Now, list down the factors of 8883
:1,3,7,9,21,27,47,63,141,189,329,423,987,1269,2961,8883
Greatest Common Factor
We found the factors 9366,8883 . The biggest common factor number is the GCF number.
So the greatest common factor 9366,8883 is 21.
Lets's calculate LCM of 123,697
| 41 | 123, 697 |
| 3, 17 |
∴ So the LCM of the given numbers is 41 x 3 x 17 = 2091
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/2091
Therefore, the GCF of Fractions 9366/123,8883/697 is 21/2091
Least Common Multiple of 123,697 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 123,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,697) = 41
common factors(in case of two or more numbers have common factors) = 1
GCF(123,697) x common factors =41 x 1 = 41
LCM(123,697) = ( 123 × 697 ) / 41
LCM(123,697) = 85731 / 41
LCM(123,697) = 2091
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FAQs on GCF of Fractions of 9366/123, 8883/697
1. What is the HCF of 9366,8883?
The HCF of 9366,8883 is 21
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 9366/123, 8883/697?
Answer: GCF of Numerators as per given numbers 9366/123, 8883/697 is
GCF of Numerators i.e. for 9366,8883 is 21
LCM of denominators i.e. for 123,697 is 2091.
Thus, GCF of Fractions is 21/2091.Finally, GCF of Fractions for 9366/123, 8883/697 is 21/2091.