Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 621/121,1532/213
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 621,1532
Greatest Common Factor of Numerators i.e. GCF of 621,1532 is 1 .
LCM of Denominators means LCM of 121,213 as per the given fractions.
LCM of 121,213 is 25773 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 621,1532
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 621
List of positive integer factors of 621 that divides 621 without a remainder.
1,3,9,23,27,69,207,621
Factors of 1532
List of positive integer factors of 1532 that divides 1532 without a remainder.
1,2,4,383,766,1532
Greatest Common Factor
We found the factors 621,1532 . The biggest common factor number is the GCF number.
So the greatest common factor 621,1532 is 1.
Lets's calculate LCM of 121,213
Given numbers has no common factors except 1. So, there LCM is their product i.e 25773
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25773
Therefore, the GCF of Fractions 621/121,1532/213 is 1/25773
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 121,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(121,213) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(121,213) x common factors =1 x 1 = 1
LCM(121,213) = ( 121 × 213 ) / 1
LCM(121,213) = 25773 / 1
LCM(121,213) = 25773
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 621/121, 1532/213?
Answer: GCF of Numerators as per given numbers 621/121, 1532/213 is
GCF of Numerators i.e. for 621,1532 is 1
LCM of denominators i.e. for 121,213 is 25773.
Thus, GCF of Fractions is 1/25773.Finally, GCF of Fractions for 621/121, 1532/213 is 1/25773.