Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8630/25,4436/558
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 8630,4436
Greatest Common Factor of Numerators i.e. GCF of 8630,4436 is 2 .
LCM of Denominators means LCM of 25,558 as per the given fractions.
LCM of 25,558 is 13950 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8630,4436
2 | 8630, 4436 |
4315, 2218 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8630
List of positive integer factors of 8630 that divides 8630 without a remainder.
1,2,5,10,863,1726,4315,8630
Factors of 4436
List of positive integer factors of 4436 that divides 4436 without a remainder.
1,2,4,1109,2218,4436
Greatest Common Factor
We found the factors 8630,4436 . The biggest common factor number is the GCF number.
So the greatest common factor 8630,4436 is 2.
Lets's calculate LCM of 25,558
Given numbers has no common factors except 1. So, there LCM is their product i.e 13950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13950
Therefore, the GCF of Fractions 8630/25,4436/558 is 2/13950
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 25,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,558) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,558) x common factors =1 x 1 = 1
LCM(25,558) = ( 25 × 558 ) / 1
LCM(25,558) = 13950 / 1
LCM(25,558) = 13950
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 8630/25, 4436/558?
Answer: GCF of Numerators as per given numbers 8630/25, 4436/558 is
GCF of Numerators i.e. for 8630,4436 is 2
LCM of denominators i.e. for 25,558 is 13950.
Thus, GCF of Fractions is 2/13950.Finally, GCF of Fractions for 8630/25, 4436/558 is 2/13950.