GCF of 1404/596, 4248/9409
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1404/596, 4248/9409 i.e 36/5607764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1404/596, 4248/9409.
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 1404/596,4248/9409?
Given fractions are 1404/596,4248/9409
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 1404/596,4248/9409, numerators are 1404,4248
Denominators are 596,9409
The GCF of 1404,4248 is 36 .
LCM of 596,9409 is 5607764.
The greatest common factor of 1404/596,4248/9409 = [GCF of 1404,4248]/[LCM of 596,9409]= 36/5607764
Therefore, the GCF of 1404/596,4248/9409 is 36/5607764.
To find the highest common factor of 1404,4248, we have to find the factors of both numbers and list the highest common factor.
The factors of 1404 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 108, 117, 156, 234, 351, 468, 702, 1404
The factors of 4248 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 59, 72, 118, 177, 236, 354, 472, 531, 708, 1062, 1416, 2124, 4248
The HCF of 1404,4248 is 36.
Lets's calculate GCF of 1404,4248
| 2 | 1404, 4248 |
| 2 | 702, 2124 |
| 3 | 351, 1062 |
| 3 | 117, 354 |
| 39, 118 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Greatest Common Factor of 1404,4248 By Matching Biggest Common Factor Method
Now, list down the factors of 1404
:1,2,3,4,6,9,12,13,18,26,27,36,39,52,54,78,108,117,156,234,351,468,702,1404
Now, list down the factors of 4248
:1,2,3,4,6,8,9,12,18,24,36,59,72,118,177,236,354,472,531,708,1062,1416,2124,4248
Greatest Common Factor
We found the factors 1404,4248 . The biggest common factor number is the GCF number.
So the greatest common factor 1404,4248 is 36.
Lets's calculate LCM of 596,9409
Given numbers has no common factors except 1. So, there LCM is their product i.e 5607764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/5607764
Therefore, the GCF of Fractions 1404/596,4248/9409 is 36/5607764
Least Common Multiple of 596,9409 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 596,9409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,9409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(596,9409) x common factors =1 x 1 = 1
LCM(596,9409) = ( 596 × 9409 ) / 1
LCM(596,9409) = 5607764 / 1
LCM(596,9409) = 5607764
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FAQs on GCF of Fractions of 1404/596, 4248/9409
1. What is the HCF of 1404,4248?
The HCF of 1404,4248 is 36
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 1404/596, 4248/9409?
Answer: GCF of Numerators as per given numbers 1404/596, 4248/9409 is
GCF of Numerators i.e. for 1404,4248 is 36
LCM of denominators i.e. for 596,9409 is 5607764.
Thus, GCF of Fractions is 36/5607764.Finally, GCF of Fractions for 1404/596, 4248/9409 is 36/5607764.