Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8630/818,1967/5213
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 8630,1967
Greatest Common Factor of Numerators i.e. GCF of 8630,1967 is 1 .
LCM of Denominators means LCM of 818,5213 as per the given fractions.
LCM of 818,5213 is 4264234 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8630,1967
∴ So GCF of numbers is 1 because of no common factors present between them.
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 1967
List of positive integer factors of 1967 that divides 1967 without a remainder.
1,7,281,1967
Greatest Common Factor
We found the factors 8630,1967 . The biggest common factor number is the GCF number.
So the greatest common factor 8630,1967 is 1.
Lets's calculate LCM of 818,5213
Given numbers has no common factors except 1. So, there LCM is their product i.e 4264234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4264234
Therefore, the GCF of Fractions 8630/818,1967/5213 is 1/4264234
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 818,5213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(818,5213) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(818,5213) x common factors =1 x 1 = 1
LCM(818,5213) = ( 818 × 5213 ) / 1
LCM(818,5213) = 4264234 / 1
LCM(818,5213) = 4264234
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 8630/818, 1967/5213?
Answer: GCF of Numerators as per given numbers 8630/818, 1967/5213 is
GCF of Numerators i.e. for 8630,1967 is 1
LCM of denominators i.e. for 818,5213 is 4264234.
Thus, GCF of Fractions is 1/4264234.Finally, GCF of Fractions for 8630/818, 1967/5213 is 1/4264234.