GCF of 4803/844, 7488/9239
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4803/844, 7488/9239 i.e 3/7797716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4803/844, 7488/9239.
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 4803/844,7488/9239?
Given fractions are 4803/844,7488/9239
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 4803/844,7488/9239, numerators are 4803,7488
Denominators are 844,9239
The GCF of 4803,7488 is 3 .
LCM of 844,9239 is 7797716.
The greatest common factor of 4803/844,7488/9239 = [GCF of 4803,7488]/[LCM of 844,9239]= 3/7797716
Therefore, the GCF of 4803/844,7488/9239 is 3/7797716.
To find the highest common factor of 4803,7488, we have to find the factors of both numbers and list the highest common factor.
The factors of 4803 are 1, 3, 1601, 4803
The factors of 7488 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 64, 72, 78, 96, 104, 117, 144, 156, 192, 208, 234, 288, 312, 416, 468, 576, 624, 832, 936, 1248, 1872, 2496, 3744, 7488
The HCF of 4803,7488 is 3.
Lets's calculate GCF of 4803,7488
| 3 | 4803, 7488 |
| 1601, 2496 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4803,7488 By Matching Biggest Common Factor Method
Now, list down the factors of 4803
:1,3,1601,4803
Now, list down the factors of 7488
:1,2,3,4,6,8,9,12,13,16,18,24,26,32,36,39,48,52,64,72,78,96,104,117,144,156,192,208,234,288,312,416,468,576,624,832,936,1248,1872,2496,3744,7488
Greatest Common Factor
We found the factors 4803,7488 . The biggest common factor number is the GCF number.
So the greatest common factor 4803,7488 is 3.
Lets's calculate LCM of 844,9239
Given numbers has no common factors except 1. So, there LCM is their product i.e 7797716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7797716
Therefore, the GCF of Fractions 4803/844,7488/9239 is 3/7797716
Least Common Multiple of 844,9239 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 844,9239 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(844,9239) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(844,9239) x common factors =1 x 1 = 1
LCM(844,9239) = ( 844 × 9239 ) / 1
LCM(844,9239) = 7797716 / 1
LCM(844,9239) = 7797716
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FAQs on GCF of Fractions of 4803/844, 7488/9239
1. What is the HCF of 4803,7488?
The HCF of 4803,7488 is 3
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 4803/844, 7488/9239?
Answer: GCF of Numerators as per given numbers 4803/844, 7488/9239 is
GCF of Numerators i.e. for 4803,7488 is 3
LCM of denominators i.e. for 844,9239 is 7797716.
Thus, GCF of Fractions is 3/7797716.Finally, GCF of Fractions for 4803/844, 7488/9239 is 3/7797716.