GCF of 4384/903, 9100/7205
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4384/903, 9100/7205 i.e 4/6506115 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4384/903, 9100/7205.
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 4384/903,9100/7205?
Given fractions are 4384/903,9100/7205
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 4384/903,9100/7205, numerators are 4384,9100
Denominators are 903,7205
The GCF of 4384,9100 is 4 .
LCM of 903,7205 is 6506115.
The greatest common factor of 4384/903,9100/7205 = [GCF of 4384,9100]/[LCM of 903,7205]= 4/6506115
Therefore, the GCF of 4384/903,9100/7205 is 4/6506115.
To find the highest common factor of 4384,9100, we have to find the factors of both numbers and list the highest common factor.
The factors of 4384 are 1, 2, 4, 8, 16, 32, 137, 274, 548, 1096, 2192, 4384
The factors of 9100 are 1, 2, 4, 5, 7, 10, 13, 14, 20, 25, 26, 28, 35, 50, 52, 65, 70, 91, 100, 130, 140, 175, 182, 260, 325, 350, 364, 455, 650, 700, 910, 1300, 1820, 2275, 4550, 9100
The HCF of 4384,9100 is 4.
Lets's calculate GCF of 4384,9100
| 2 | 4384, 9100 |
| 2 | 2192, 4550 |
| 1096, 2275 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4384,9100 By Matching Biggest Common Factor Method
Now, list down the factors of 4384
:1,2,4,8,16,32,137,274,548,1096,2192,4384
Now, list down the factors of 9100
:1,2,4,5,7,10,13,14,20,25,26,28,35,50,52,65,70,91,100,130,140,175,182,260,325,350,364,455,650,700,910,1300,1820,2275,4550,9100
Greatest Common Factor
We found the factors 4384,9100 . The biggest common factor number is the GCF number.
So the greatest common factor 4384,9100 is 4.
Lets's calculate LCM of 903,7205
Given numbers has no common factors except 1. So, there LCM is their product i.e 6506115
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6506115
Therefore, the GCF of Fractions 4384/903,9100/7205 is 4/6506115
Least Common Multiple of 903,7205 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 903,7205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(903,7205) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(903,7205) x common factors =1 x 1 = 1
LCM(903,7205) = ( 903 × 7205 ) / 1
LCM(903,7205) = 6506115 / 1
LCM(903,7205) = 6506115
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FAQs on GCF of Fractions of 4384/903, 9100/7205
1. What is the HCF of 4384,9100?
The HCF of 4384,9100 is 4
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 4384/903, 9100/7205?
Answer: GCF of Numerators as per given numbers 4384/903, 9100/7205 is
GCF of Numerators i.e. for 4384,9100 is 4
LCM of denominators i.e. for 903,7205 is 6506115.
Thus, GCF of Fractions is 4/6506115.Finally, GCF of Fractions for 4384/903, 9100/7205 is 4/6506115.