GCF of 4610/131, 5700/6386
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4610/131, 5700/6386 i.e 10/836566 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4610/131, 5700/6386.
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 4610/131,5700/6386?
Given fractions are 4610/131,5700/6386
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 4610/131,5700/6386, numerators are 4610,5700
Denominators are 131,6386
The GCF of 4610,5700 is 10 .
LCM of 131,6386 is 836566.
The greatest common factor of 4610/131,5700/6386 = [GCF of 4610,5700]/[LCM of 131,6386]= 10/836566
Therefore, the GCF of 4610/131,5700/6386 is 10/836566.
To find the highest common factor of 4610,5700, we have to find the factors of both numbers and list the highest common factor.
The factors of 4610 are 1, 2, 5, 10, 461, 922, 2305, 4610
The factors of 5700 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 25, 30, 38, 50, 57, 60, 75, 76, 95, 100, 114, 150, 190, 228, 285, 300, 380, 475, 570, 950, 1140, 1425, 1900, 2850, 5700
The HCF of 4610,5700 is 10.
Lets's calculate GCF of 4610,5700
| 2 | 4610, 5700 |
| 5 | 2305, 2850 |
| 461, 570 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 4610,5700 By Matching Biggest Common Factor Method
Now, list down the factors of 4610
:1,2,5,10,461,922,2305,4610
Now, list down the factors of 5700
:1,2,3,4,5,6,10,12,15,19,20,25,30,38,50,57,60,75,76,95,100,114,150,190,228,285,300,380,475,570,950,1140,1425,1900,2850,5700
Greatest Common Factor
We found the factors 4610,5700 . The biggest common factor number is the GCF number.
So the greatest common factor 4610,5700 is 10.
Lets's calculate LCM of 131,6386
Given numbers has no common factors except 1. So, there LCM is their product i.e 836566
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/836566
Therefore, the GCF of Fractions 4610/131,5700/6386 is 10/836566
Least Common Multiple of 131,6386 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 131,6386 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(131,6386) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(131,6386) x common factors =1 x 1 = 1
LCM(131,6386) = ( 131 × 6386 ) / 1
LCM(131,6386) = 836566 / 1
LCM(131,6386) = 836566
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4610/131, 5700/6386
1. What is the HCF of 4610,5700?
The HCF of 4610,5700 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 4610/131, 5700/6386?
Answer: GCF of Numerators as per given numbers 4610/131, 5700/6386 is
GCF of Numerators i.e. for 4610,5700 is 10
LCM of denominators i.e. for 131,6386 is 836566.
Thus, GCF of Fractions is 10/836566.Finally, GCF of Fractions for 4610/131, 5700/6386 is 10/836566.