Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4264/59,4634/704
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 4264,4634
Greatest Common Factor of Numerators i.e. GCF of 4264,4634 is 2 .
LCM of Denominators means LCM of 59,704 as per the given fractions.
LCM of 59,704 is 41536 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4264,4634
2 | 4264, 4634 |
2132, 2317 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4264
List of positive integer factors of 4264 that divides 4264 without a remainder.
1,2,4,8,13,26,41,52,82,104,164,328,533,1066,2132,4264
Factors of 4634
List of positive integer factors of 4634 that divides 4634 without a remainder.
1,2,7,14,331,662,2317,4634
Greatest Common Factor
We found the factors 4264,4634 . The biggest common factor number is the GCF number.
So the greatest common factor 4264,4634 is 2.
Lets's calculate LCM of 59,704
Given numbers has no common factors except 1. So, there LCM is their product i.e 41536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/41536
Therefore, the GCF of Fractions 4264/59,4634/704 is 2/41536
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 59,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,704) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,704) x common factors =1 x 1 = 1
LCM(59,704) = ( 59 × 704 ) / 1
LCM(59,704) = 41536 / 1
LCM(59,704) = 41536
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 4264/59, 4634/704?
Answer: GCF of Numerators as per given numbers 4264/59, 4634/704 is
GCF of Numerators i.e. for 4264,4634 is 2
LCM of denominators i.e. for 59,704 is 41536.
Thus, GCF of Fractions is 2/41536.Finally, GCF of Fractions for 4264/59, 4634/704 is 2/41536.