GCF of 9316/360, 8466/5154
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9316/360, 8466/5154 i.e 34/309240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9316/360, 8466/5154.
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 9316/360,8466/5154?
Given fractions are 9316/360,8466/5154
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 9316/360,8466/5154, numerators are 9316,8466
Denominators are 360,5154
The GCF of 9316,8466 is 34 .
LCM of 360,5154 is 309240.
The greatest common factor of 9316/360,8466/5154 = [GCF of 9316,8466]/[LCM of 360,5154]= 34/309240
Therefore, the GCF of 9316/360,8466/5154 is 34/309240.
To find the highest common factor of 9316,8466, we have to find the factors of both numbers and list the highest common factor.
The factors of 9316 are 1, 2, 4, 17, 34, 68, 137, 274, 548, 2329, 4658, 9316
The factors of 8466 are 1, 2, 3, 6, 17, 34, 51, 83, 102, 166, 249, 498, 1411, 2822, 4233, 8466
The HCF of 9316,8466 is 34.
Lets's calculate GCF of 9316,8466
| 2 | 9316, 8466 |
| 17 | 4658, 4233 |
| 274, 249 |
∴ So the GCF of the given numbers is 2 x 17 = 34
Greatest Common Factor of 9316,8466 By Matching Biggest Common Factor Method
Now, list down the factors of 9316
:1,2,4,17,34,68,137,274,548,2329,4658,9316
Now, list down the factors of 8466
:1,2,3,6,17,34,51,83,102,166,249,498,1411,2822,4233,8466
Greatest Common Factor
We found the factors 9316,8466 . The biggest common factor number is the GCF number.
So the greatest common factor 9316,8466 is 34.
Lets's calculate LCM of 360,5154
| 2 | 360, 5154 |
| 3 | 180, 2577 |
| 60, 859 |
∴ So the LCM of the given numbers is 2 x 3 x 60 x 859 = 309240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/309240
Therefore, the GCF of Fractions 9316/360,8466/5154 is 34/309240
Least Common Multiple of 360,5154 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 360,5154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(360,5154) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(360,5154) x common factors =6 x 1 = 6
LCM(360,5154) = ( 360 × 5154 ) / 6
LCM(360,5154) = 1855440 / 6
LCM(360,5154) = 309240
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FAQs on GCF of Fractions of 9316/360, 8466/5154
1. What is the HCF of 9316,8466?
The HCF of 9316,8466 is 34
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 9316/360, 8466/5154?
Answer: GCF of Numerators as per given numbers 9316/360, 8466/5154 is
GCF of Numerators i.e. for 9316,8466 is 34
LCM of denominators i.e. for 360,5154 is 309240.
Thus, GCF of Fractions is 34/309240.Finally, GCF of Fractions for 9316/360, 8466/5154 is 34/309240.