Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 619/70,213/8122
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 619,213
Greatest Common Factor of Numerators i.e. GCF of 619,213 is 1 .
LCM of Denominators means LCM of 70,8122 as per the given fractions.
LCM of 70,8122 is 284270 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 619,213
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 619
List of positive integer factors of 619 that divides 619 without a remainder.
1,619
Factors of 213
List of positive integer factors of 213 that divides 213 without a remainder.
1,3,71,213
Greatest Common Factor
We found the factors 619,213 . The biggest common factor number is the GCF number.
So the greatest common factor 619,213 is 1.
Lets's calculate LCM of 70,8122
2 | 70, 8122 |
35, 4061 |
∴ So the LCM of the given numbers is 2 x 35 x 4061 = 284270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/284270
Therefore, the GCF of Fractions 619/70,213/8122 is 1/284270
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 70,8122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,8122) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(70,8122) x common factors =2 x 1 = 2
LCM(70,8122) = ( 70 × 8122 ) / 2
LCM(70,8122) = 568540 / 2
LCM(70,8122) = 284270
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 619/70, 213/8122?
Answer: GCF of Numerators as per given numbers 619/70, 213/8122 is
GCF of Numerators i.e. for 619,213 is 1
LCM of denominators i.e. for 70,8122 is 284270.
Thus, GCF of Fractions is 1/284270.Finally, GCF of Fractions for 619/70, 213/8122 is 1/284270.