GCF of 9614/450, 1965/822
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9614/450, 1965/822 i.e 1/61650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9614/450, 1965/822.
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 9614/450,1965/822?
Given fractions are 9614/450,1965/822
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 9614/450,1965/822, numerators are 9614,1965
Denominators are 450,822
The GCF of 9614,1965 is 1 .
LCM of 450,822 is 61650.
The greatest common factor of 9614/450,1965/822 = [GCF of 9614,1965]/[LCM of 450,822]= 1/61650
Therefore, the GCF of 9614/450,1965/822 is 1/61650.
To find the highest common factor of 9614,1965, we have to find the factors of both numbers and list the highest common factor.
The factors of 9614 are 1, 2, 11, 19, 22, 23, 38, 46, 209, 253, 418, 437, 506, 874, 4807, 9614
The factors of 1965 are 1, 3, 5, 15, 131, 393, 655, 1965
The HCF of 9614,1965 is 1.
Lets's calculate GCF of 9614,1965
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9614,1965 By Matching Biggest Common Factor Method
Now, list down the factors of 9614
:1,2,11,19,22,23,38,46,209,253,418,437,506,874,4807,9614
Now, list down the factors of 1965
:1,3,5,15,131,393,655,1965
Greatest Common Factor
We found the factors 9614,1965 . The biggest common factor number is the GCF number.
So the greatest common factor 9614,1965 is 1.
Lets's calculate LCM of 450,822
| 2 | 450, 822 |
| 3 | 225, 411 |
| 75, 137 |
∴ So the LCM of the given numbers is 2 x 3 x 75 x 137 = 61650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61650
Therefore, the GCF of Fractions 9614/450,1965/822 is 1/61650
Least Common Multiple of 450,822 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 450,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(450,822) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(450,822) x common factors =6 x 1 = 6
LCM(450,822) = ( 450 × 822 ) / 6
LCM(450,822) = 369900 / 6
LCM(450,822) = 61650
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FAQs on GCF of Fractions of 9614/450, 1965/822
1. What is the HCF of 9614,1965?
The HCF of 9614,1965 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 9614/450, 1965/822?
Answer: GCF of Numerators as per given numbers 9614/450, 1965/822 is
GCF of Numerators i.e. for 9614,1965 is 1
LCM of denominators i.e. for 450,822 is 61650.
Thus, GCF of Fractions is 1/61650.Finally, GCF of Fractions for 9614/450, 1965/822 is 1/61650.