Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4520/95,3067/983
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 4520,3067
Greatest Common Factor of Numerators i.e. GCF of 4520,3067 is 1 .
LCM of Denominators means LCM of 95,983 as per the given fractions.
LCM of 95,983 is 93385 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4520,3067
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4520
List of positive integer factors of 4520 that divides 4520 without a remainder.
1,2,4,5,8,10,20,40,113,226,452,565,904,1130,2260,4520
Factors of 3067
List of positive integer factors of 3067 that divides 3067 without a remainder.
1,3067
Greatest Common Factor
We found the factors 4520,3067 . The biggest common factor number is the GCF number.
So the greatest common factor 4520,3067 is 1.
Lets's calculate LCM of 95,983
Given numbers has no common factors except 1. So, there LCM is their product i.e 93385
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93385
Therefore, the GCF of Fractions 4520/95,3067/983 is 1/93385
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 95,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,983) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,983) x common factors =1 x 1 = 1
LCM(95,983) = ( 95 × 983 ) / 1
LCM(95,983) = 93385 / 1
LCM(95,983) = 93385
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 4520/95, 3067/983?
Answer: GCF of Numerators as per given numbers 4520/95, 3067/983 is
GCF of Numerators i.e. for 4520,3067 is 1
LCM of denominators i.e. for 95,983 is 93385.
Thus, GCF of Fractions is 1/93385.Finally, GCF of Fractions for 4520/95, 3067/983 is 1/93385.