GCF of 1503/633, 8622/5805
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1503/633, 8622/5805 i.e 9/1224855 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1503/633, 8622/5805.
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 1503/633,8622/5805?
Given fractions are 1503/633,8622/5805
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 1503/633,8622/5805, numerators are 1503,8622
Denominators are 633,5805
The GCF of 1503,8622 is 9 .
LCM of 633,5805 is 1224855.
The greatest common factor of 1503/633,8622/5805 = [GCF of 1503,8622]/[LCM of 633,5805]= 9/1224855
Therefore, the GCF of 1503/633,8622/5805 is 9/1224855.
To find the highest common factor of 1503,8622, we have to find the factors of both numbers and list the highest common factor.
The factors of 1503 are 1, 3, 9, 167, 501, 1503
The factors of 8622 are 1, 2, 3, 6, 9, 18, 479, 958, 1437, 2874, 4311, 8622
The HCF of 1503,8622 is 9.
Lets's calculate GCF of 1503,8622
| 3 | 1503, 8622 |
| 3 | 501, 2874 |
| 167, 958 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 1503,8622 By Matching Biggest Common Factor Method
Now, list down the factors of 1503
:1,3,9,167,501,1503
Now, list down the factors of 8622
:1,2,3,6,9,18,479,958,1437,2874,4311,8622
Greatest Common Factor
We found the factors 1503,8622 . The biggest common factor number is the GCF number.
So the greatest common factor 1503,8622 is 9.
Lets's calculate LCM of 633,5805
| 3 | 633, 5805 |
| 211, 1935 |
∴ So the LCM of the given numbers is 3 x 211 x 1935 = 1224855
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1224855
Therefore, the GCF of Fractions 1503/633,8622/5805 is 9/1224855
Least Common Multiple of 633,5805 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 633,5805 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(633,5805) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(633,5805) x common factors =3 x 1 = 3
LCM(633,5805) = ( 633 × 5805 ) / 3
LCM(633,5805) = 3674565 / 3
LCM(633,5805) = 1224855
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FAQs on GCF of Fractions of 1503/633, 8622/5805
1. What is the HCF of 1503,8622?
The HCF of 1503,8622 is 9
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 1503/633, 8622/5805?
Answer: GCF of Numerators as per given numbers 1503/633, 8622/5805 is
GCF of Numerators i.e. for 1503,8622 is 9
LCM of denominators i.e. for 633,5805 is 1224855.
Thus, GCF of Fractions is 9/1224855.Finally, GCF of Fractions for 1503/633, 8622/5805 is 9/1224855.