Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8789/587,5672/5596
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 8789,5672
Greatest Common Factor of Numerators i.e. GCF of 8789,5672 is 1 .
LCM of Denominators means LCM of 587,5596 as per the given fractions.
LCM of 587,5596 is 3284852 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8789,5672
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8789
List of positive integer factors of 8789 that divides 8789 without a remainder.
1,11,17,47,187,517,799,8789
Factors of 5672
List of positive integer factors of 5672 that divides 5672 without a remainder.
1,2,4,8,709,1418,2836,5672
Greatest Common Factor
We found the factors 8789,5672 . The biggest common factor number is the GCF number.
So the greatest common factor 8789,5672 is 1.
Lets's calculate LCM of 587,5596
Given numbers has no common factors except 1. So, there LCM is their product i.e 3284852
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3284852
Therefore, the GCF of Fractions 8789/587,5672/5596 is 1/3284852
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 587,5596 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(587,5596) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(587,5596) x common factors =1 x 1 = 1
LCM(587,5596) = ( 587 × 5596 ) / 1
LCM(587,5596) = 3284852 / 1
LCM(587,5596) = 3284852
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 8789/587, 5672/5596?
Answer: GCF of Numerators as per given numbers 8789/587, 5672/5596 is
GCF of Numerators i.e. for 8789,5672 is 1
LCM of denominators i.e. for 587,5596 is 3284852.
Thus, GCF of Fractions is 1/3284852.Finally, GCF of Fractions for 8789/587, 5672/5596 is 1/3284852.