Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2810/58,7616/666
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 2810,7616
Greatest Common Factor of Numerators i.e. GCF of 2810,7616 is 2 .
LCM of Denominators means LCM of 58,666 as per the given fractions.
LCM of 58,666 is 19314 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2810,7616
2 | 2810, 7616 |
1405, 3808 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2810
List of positive integer factors of 2810 that divides 2810 without a remainder.
1,2,5,10,281,562,1405,2810
Factors of 7616
List of positive integer factors of 7616 that divides 7616 without a remainder.
1,2,4,7,8,14,16,17,28,32,34,56,64,68,112,119,136,224,238,272,448,476,544,952,1088,1904,3808,7616
Greatest Common Factor
We found the factors 2810,7616 . The biggest common factor number is the GCF number.
So the greatest common factor 2810,7616 is 2.
Lets's calculate LCM of 58,666
2 | 58, 666 |
29, 333 |
∴ So the LCM of the given numbers is 2 x 29 x 333 = 19314
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19314
Therefore, the GCF of Fractions 2810/58,7616/666 is 2/19314
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 58,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,666) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(58,666) x common factors =2 x 1 = 2
LCM(58,666) = ( 58 × 666 ) / 2
LCM(58,666) = 38628 / 2
LCM(58,666) = 19314
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 2810/58, 7616/666?
Answer: GCF of Numerators as per given numbers 2810/58, 7616/666 is
GCF of Numerators i.e. for 2810,7616 is 2
LCM of denominators i.e. for 58,666 is 19314.
Thus, GCF of Fractions is 2/19314.Finally, GCF of Fractions for 2810/58, 7616/666 is 2/19314.