Use our free GCF of Fractions Calculator tool to compute the GCF of 7620/419, 2295/6436 i.e 15/2696684 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7620/419, 2295/6436.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7620/419,2295/6436
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 7620/419,2295/6436, numerators are 7620,2295
Denominators are 419,6436
The GCF of 7620,2295 is 15 .
LCM of 419,6436 is 2696684.
The greatest common factor of 7620/419,2295/6436 = [GCF of 7620,2295]/[LCM of 419,6436]= 15/2696684
Therefore, the GCF of 7620/419,2295/6436 is 15/2696684.
To find the highest common factor of 7620,2295, we have to find the factors of both numbers and list the highest common factor.
The factors of 7620 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 127, 254, 381, 508, 635, 762, 1270, 1524, 1905, 2540, 3810, 7620
The factors of 2295 are 1, 3, 5, 9, 15, 17, 27, 45, 51, 85, 135, 153, 255, 459, 765, 2295
The HCF of 7620,2295 is 15.
Lets's calculate GCF of 7620,2295
3 | 7620, 2295 |
5 | 2540, 765 |
508, 153 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Now, list down the factors of 7620
:1,2,3,4,5,6,10,12,15,20,30,60,127,254,381,508,635,762,1270,1524,1905,2540,3810,7620
Now, list down the factors of 2295
:1,3,5,9,15,17,27,45,51,85,135,153,255,459,765,2295
Greatest Common Factor
We found the factors 7620,2295 . The biggest common factor number is the GCF number.
So the greatest common factor 7620,2295 is 15.
Lets's calculate LCM of 419,6436
Given numbers has no common factors except 1. So, there LCM is their product i.e 2696684
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/2696684
Therefore, the GCF of Fractions 7620/419,2295/6436 is 15/2696684
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 419,6436 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,6436) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(419,6436) x common factors =1 x 1 = 1
LCM(419,6436) = ( 419 × 6436 ) / 1
LCM(419,6436) = 2696684 / 1
LCM(419,6436) = 2696684
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7620,2295?
The HCF of 7620,2295 is 15
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 7620/419, 2295/6436?
Answer: GCF of Numerators as per given numbers 7620/419, 2295/6436 is
GCF of Numerators i.e. for 7620,2295 is 15
LCM of denominators i.e. for 419,6436 is 2696684.
Thus, GCF of Fractions is 15/2696684.Finally, GCF of Fractions for 7620/419, 2295/6436 is 15/2696684.