Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 19/79,473/99,530/369
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 19,473,530
Greatest Common Factor of Numerators i.e. GCF of 19,473,530 is 1 .
LCM of Denominators means LCM of 79,99,369 as per the given fractions.
LCM of 79,99,369 is 320661 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 19,473,530
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 473
List of positive integer factors of 473 that divides 473 without a remainder.
1,11,43,473
Factors of 530
List of positive integer factors of 530 that divides 530 without a remainder.
1,2,5,10,53,106,265,530
Greatest Common Factor
We found the factors 19,473,530 . The biggest common factor number is the GCF number.
So the greatest common factor 19,473,530 is 1.
Lets's calculate LCM of 79,99,369
3 | 79, 99, 369 |
3 | 79, 33, 123 |
79, 11, 41 |
∴ So the LCM of the given numbers is 3 x 3 x 79 x 11 x 41 = 320661
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/320661
Therefore, the GCF of Fractions 19/79,473/99,530/369 is 1/320661
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 79,99,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,99,369) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(79,99,369) x common factors =1 x 9 = 9
LCM(79,99,369) = ( 79 × 99 × 369 ) / 9
LCM(79,99,369) = 2885949 / 9
LCM(79,99,369) = 320661
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 19/79, 473/99, 530/369?
Answer: GCF of Numerators as per given numbers 19/79, 473/99, 530/369 is
GCF of Numerators i.e. for 19,473,530 is 1
LCM of denominators i.e. for 79,99,369 is 320661.
Thus, GCF of Fractions is 1/320661.Finally, GCF of Fractions for 19/79, 473/99, 530/369 is 1/320661.