GCF of 9490/144, 6362/2274
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9490/144, 6362/2274 i.e 2/54576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9490/144, 6362/2274.
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 9490/144,6362/2274?
Given fractions are 9490/144,6362/2274
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 9490/144,6362/2274, numerators are 9490,6362
Denominators are 144,2274
The GCF of 9490,6362 is 2 .
LCM of 144,2274 is 54576.
The greatest common factor of 9490/144,6362/2274 = [GCF of 9490,6362]/[LCM of 144,2274]= 2/54576
Therefore, the GCF of 9490/144,6362/2274 is 2/54576.
To find the highest common factor of 9490,6362, we have to find the factors of both numbers and list the highest common factor.
The factors of 9490 are 1, 2, 5, 10, 13, 26, 65, 73, 130, 146, 365, 730, 949, 1898, 4745, 9490
The factors of 6362 are 1, 2, 3181, 6362
The HCF of 9490,6362 is 2.
Lets's calculate GCF of 9490,6362
| 2 | 9490, 6362 |
| 4745, 3181 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9490,6362 By Matching Biggest Common Factor Method
Now, list down the factors of 9490
:1,2,5,10,13,26,65,73,130,146,365,730,949,1898,4745,9490
Now, list down the factors of 6362
:1,2,3181,6362
Greatest Common Factor
We found the factors 9490,6362 . The biggest common factor number is the GCF number.
So the greatest common factor 9490,6362 is 2.
Lets's calculate LCM of 144,2274
| 2 | 144, 2274 |
| 3 | 72, 1137 |
| 24, 379 |
∴ So the LCM of the given numbers is 2 x 3 x 24 x 379 = 54576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/54576
Therefore, the GCF of Fractions 9490/144,6362/2274 is 2/54576
Least Common Multiple of 144,2274 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 144,2274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(144,2274) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(144,2274) x common factors =6 x 1 = 6
LCM(144,2274) = ( 144 × 2274 ) / 6
LCM(144,2274) = 327456 / 6
LCM(144,2274) = 54576
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FAQs on GCF of Fractions of 9490/144, 6362/2274
1. What is the HCF of 9490,6362?
The HCF of 9490,6362 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 9490/144, 6362/2274?
Answer: GCF of Numerators as per given numbers 9490/144, 6362/2274 is
GCF of Numerators i.e. for 9490,6362 is 2
LCM of denominators i.e. for 144,2274 is 54576.
Thus, GCF of Fractions is 2/54576.Finally, GCF of Fractions for 9490/144, 6362/2274 is 2/54576.