GCF of 9443/720, 1462/7650
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9443/720, 1462/7650 i.e 1/61200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9443/720, 1462/7650.
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 9443/720,1462/7650?
Given fractions are 9443/720,1462/7650
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 9443/720,1462/7650, numerators are 9443,1462
Denominators are 720,7650
The GCF of 9443,1462 is 1 .
LCM of 720,7650 is 61200.
The greatest common factor of 9443/720,1462/7650 = [GCF of 9443,1462]/[LCM of 720,7650]= 1/61200
Therefore, the GCF of 9443/720,1462/7650 is 1/61200.
To find the highest common factor of 9443,1462, we have to find the factors of both numbers and list the highest common factor.
The factors of 9443 are 1, 7, 19, 71, 133, 497, 1349, 9443
The factors of 1462 are 1, 2, 17, 34, 43, 86, 731, 1462
The HCF of 9443,1462 is 1.
Lets's calculate GCF of 9443,1462
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9443,1462 By Matching Biggest Common Factor Method
Now, list down the factors of 9443
:1,7,19,71,133,497,1349,9443
Now, list down the factors of 1462
:1,2,17,34,43,86,731,1462
Greatest Common Factor
We found the factors 9443,1462 . The biggest common factor number is the GCF number.
So the greatest common factor 9443,1462 is 1.
Lets's calculate LCM of 720,7650
| 2 | 720, 7650 |
| 3 | 360, 3825 |
| 3 | 120, 1275 |
| 5 | 40, 425 |
| 8, 85 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 8 x 85 = 61200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61200
Therefore, the GCF of Fractions 9443/720,1462/7650 is 1/61200
Least Common Multiple of 720,7650 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 720,7650 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(720,7650) = 90
common factors(in case of two or more numbers have common factors) = 1
GCF(720,7650) x common factors =90 x 1 = 90
LCM(720,7650) = ( 720 × 7650 ) / 90
LCM(720,7650) = 5508000 / 90
LCM(720,7650) = 61200
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FAQs on GCF of Fractions of 9443/720, 1462/7650
1. What is the HCF of 9443,1462?
The HCF of 9443,1462 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 9443/720, 1462/7650?
Answer: GCF of Numerators as per given numbers 9443/720, 1462/7650 is
GCF of Numerators i.e. for 9443,1462 is 1
LCM of denominators i.e. for 720,7650 is 61200.
Thus, GCF of Fractions is 1/61200.Finally, GCF of Fractions for 9443/720, 1462/7650 is 1/61200.