Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 621/193,971/830
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 621,971
Greatest Common Factor of Numerators i.e. GCF of 621,971 is 1 .
LCM of Denominators means LCM of 193,830 as per the given fractions.
LCM of 193,830 is 160190 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 621,971
∴ 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 971
List of positive integer factors of 971 that divides 971 without a remainder.
1,971
Greatest Common Factor
We found the factors 621,971 . The biggest common factor number is the GCF number.
So the greatest common factor 621,971 is 1.
Lets's calculate LCM of 193,830
Given numbers has no common factors except 1. So, there LCM is their product i.e 160190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/160190
Therefore, the GCF of Fractions 621/193,971/830 is 1/160190
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 193,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(193,830) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(193,830) x common factors =1 x 1 = 1
LCM(193,830) = ( 193 × 830 ) / 1
LCM(193,830) = 160190 / 1
LCM(193,830) = 160190
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 621/193, 971/830?
Answer: GCF of Numerators as per given numbers 621/193, 971/830 is
GCF of Numerators i.e. for 621,971 is 1
LCM of denominators i.e. for 193,830 is 160190.
Thus, GCF of Fractions is 1/160190.Finally, GCF of Fractions for 621/193, 971/830 is 1/160190.