GCF of 3840/151, 5050/9606
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3840/151, 5050/9606 i.e 10/1450506 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3840/151, 5050/9606.
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 3840/151,5050/9606?
Given fractions are 3840/151,5050/9606
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 3840/151,5050/9606, numerators are 3840,5050
Denominators are 151,9606
The GCF of 3840,5050 is 10 .
LCM of 151,9606 is 1450506.
The greatest common factor of 3840/151,5050/9606 = [GCF of 3840,5050]/[LCM of 151,9606]= 10/1450506
Therefore, the GCF of 3840/151,5050/9606 is 10/1450506.
To find the highest common factor of 3840,5050, we have to find the factors of both numbers and list the highest common factor.
The factors of 3840 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 640, 768, 960, 1280, 1920, 3840
The factors of 5050 are 1, 2, 5, 10, 25, 50, 101, 202, 505, 1010, 2525, 5050
The HCF of 3840,5050 is 10.
Lets's calculate GCF of 3840,5050
| 2 | 3840, 5050 |
| 5 | 1920, 2525 |
| 384, 505 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 3840,5050 By Matching Biggest Common Factor Method
Now, list down the factors of 3840
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,128,160,192,240,256,320,384,480,640,768,960,1280,1920,3840
Now, list down the factors of 5050
:1,2,5,10,25,50,101,202,505,1010,2525,5050
Greatest Common Factor
We found the factors 3840,5050 . The biggest common factor number is the GCF number.
So the greatest common factor 3840,5050 is 10.
Lets's calculate LCM of 151,9606
Given numbers has no common factors except 1. So, there LCM is their product i.e 1450506
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1450506
Therefore, the GCF of Fractions 3840/151,5050/9606 is 10/1450506
Least Common Multiple of 151,9606 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 151,9606 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(151,9606) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(151,9606) x common factors =1 x 1 = 1
LCM(151,9606) = ( 151 × 9606 ) / 1
LCM(151,9606) = 1450506 / 1
LCM(151,9606) = 1450506
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FAQs on GCF of Fractions of 3840/151, 5050/9606
1. What is the HCF of 3840,5050?
The HCF of 3840,5050 is 10
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 3840/151, 5050/9606?
Answer: GCF of Numerators as per given numbers 3840/151, 5050/9606 is
GCF of Numerators i.e. for 3840,5050 is 10
LCM of denominators i.e. for 151,9606 is 1450506.
Thus, GCF of Fractions is 10/1450506.Finally, GCF of Fractions for 3840/151, 5050/9606 is 10/1450506.