GCF of 9364/822, 9490/2116
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9364/822, 9490/2116 i.e 2/869676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9364/822, 9490/2116.
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 9364/822,9490/2116?
Given fractions are 9364/822,9490/2116
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 9364/822,9490/2116, numerators are 9364,9490
Denominators are 822,2116
The GCF of 9364,9490 is 2 .
LCM of 822,2116 is 869676.
The greatest common factor of 9364/822,9490/2116 = [GCF of 9364,9490]/[LCM of 822,2116]= 2/869676
Therefore, the GCF of 9364/822,9490/2116 is 2/869676.
To find the highest common factor of 9364,9490, we have to find the factors of both numbers and list the highest common factor.
The factors of 9364 are 1, 2, 4, 2341, 4682, 9364
The factors of 9490 are 1, 2, 5, 10, 13, 26, 65, 73, 130, 146, 365, 730, 949, 1898, 4745, 9490
The HCF of 9364,9490 is 2.
Lets's calculate GCF of 9364,9490
| 2 | 9364, 9490 |
| 4682, 4745 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9364,9490 By Matching Biggest Common Factor Method
Now, list down the factors of 9364
:1,2,4,2341,4682,9364
Now, list down the factors of 9490
:1,2,5,10,13,26,65,73,130,146,365,730,949,1898,4745,9490
Greatest Common Factor
We found the factors 9364,9490 . The biggest common factor number is the GCF number.
So the greatest common factor 9364,9490 is 2.
Lets's calculate LCM of 822,2116
| 2 | 822, 2116 |
| 411, 1058 |
∴ So the LCM of the given numbers is 2 x 411 x 1058 = 869676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/869676
Therefore, the GCF of Fractions 9364/822,9490/2116 is 2/869676
Least Common Multiple of 822,2116 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 822,2116 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,2116) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(822,2116) x common factors =2 x 1 = 2
LCM(822,2116) = ( 822 × 2116 ) / 2
LCM(822,2116) = 1739352 / 2
LCM(822,2116) = 869676
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FAQs on GCF of Fractions of 9364/822, 9490/2116
1. What is the HCF of 9364,9490?
The HCF of 9364,9490 is 2
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 9364/822, 9490/2116?
Answer: GCF of Numerators as per given numbers 9364/822, 9490/2116 is
GCF of Numerators i.e. for 9364,9490 is 2
LCM of denominators i.e. for 822,2116 is 869676.
Thus, GCF of Fractions is 2/869676.Finally, GCF of Fractions for 9364/822, 9490/2116 is 2/869676.