Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4313/21,6130/953
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 4313,6130
Greatest Common Factor of Numerators i.e. GCF of 4313,6130 is 1 .
LCM of Denominators means LCM of 21,953 as per the given fractions.
LCM of 21,953 is 20013 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4313,6130
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4313
List of positive integer factors of 4313 that divides 4313 without a remainder.
1,19,227,4313
Factors of 6130
List of positive integer factors of 6130 that divides 6130 without a remainder.
1,2,5,10,613,1226,3065,6130
Greatest Common Factor
We found the factors 4313,6130 . The biggest common factor number is the GCF number.
So the greatest common factor 4313,6130 is 1.
Lets's calculate LCM of 21,953
Given numbers has no common factors except 1. So, there LCM is their product i.e 20013
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20013
Therefore, the GCF of Fractions 4313/21,6130/953 is 1/20013
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 21,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,953) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,953) x common factors =1 x 1 = 1
LCM(21,953) = ( 21 × 953 ) / 1
LCM(21,953) = 20013 / 1
LCM(21,953) = 20013
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 4313/21, 6130/953?
Answer: GCF of Numerators as per given numbers 4313/21, 6130/953 is
GCF of Numerators i.e. for 4313,6130 is 1
LCM of denominators i.e. for 21,953 is 20013.
Thus, GCF of Fractions is 1/20013.Finally, GCF of Fractions for 4313/21, 6130/953 is 1/20013.