Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8875/617,7616/595
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 8875,7616
Greatest Common Factor of Numerators i.e. GCF of 8875,7616 is 1 .
LCM of Denominators means LCM of 617,595 as per the given fractions.
LCM of 617,595 is 367115 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8875,7616
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8875
List of positive integer factors of 8875 that divides 8875 without a remainder.
1,5,25,71,125,355,1775,8875
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 8875,7616 . The biggest common factor number is the GCF number.
So the greatest common factor 8875,7616 is 1.
Lets's calculate LCM of 617,595
Given numbers has no common factors except 1. So, there LCM is their product i.e 367115
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/367115
Therefore, the GCF of Fractions 8875/617,7616/595 is 1/367115
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 617,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(617,595) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(617,595) x common factors =1 x 1 = 1
LCM(617,595) = ( 617 × 595 ) / 1
LCM(617,595) = 367115 / 1
LCM(617,595) = 367115
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 8875/617, 7616/595?
Answer: GCF of Numerators as per given numbers 8875/617, 7616/595 is
GCF of Numerators i.e. for 8875,7616 is 1
LCM of denominators i.e. for 617,595 is 367115.
Thus, GCF of Fractions is 1/367115.Finally, GCF of Fractions for 8875/617, 7616/595 is 1/367115.