Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 621/94,138/2427
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 621,138
Greatest Common Factor of Numerators i.e. GCF of 621,138 is 69 .
LCM of Denominators means LCM of 94,2427 as per the given fractions.
LCM of 94,2427 is 228138 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 621,138
3 | 621, 138 |
23 | 207, 46 |
9, 2 |
∴ So the GCF of the given numbers is 3 x 23 = 69
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 138
List of positive integer factors of 138 that divides 138 without a remainder.
1,2,3,6,23,46,69,138
Greatest Common Factor
We found the factors 621,138 . The biggest common factor number is the GCF number.
So the greatest common factor 621,138 is 69.
Lets's calculate LCM of 94,2427
Given numbers has no common factors except 1. So, there LCM is their product i.e 228138
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 69/228138
Therefore, the GCF of Fractions 621/94,138/2427 is 69/228138
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 94,2427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,2427) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(94,2427) x common factors =1 x 1 = 1
LCM(94,2427) = ( 94 × 2427 ) / 1
LCM(94,2427) = 228138 / 1
LCM(94,2427) = 228138
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 621/94, 138/2427?
Answer: GCF of Numerators as per given numbers 621/94, 138/2427 is
GCF of Numerators i.e. for 621,138 is 69
LCM of denominators i.e. for 94,2427 is 228138.
Thus, GCF of Fractions is 69/228138.Finally, GCF of Fractions for 621/94, 138/2427 is 69/228138.