Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 84/519,371/405
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 84,371
Greatest Common Factor of Numerators i.e. GCF of 84,371 is 7 .
LCM of Denominators means LCM of 519,405 as per the given fractions.
LCM of 519,405 is 70065 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 84,371
7 | 84, 371 |
12, 53 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 371
List of positive integer factors of 371 that divides 371 without a remainder.
1,7,53,371
Greatest Common Factor
We found the factors 84,371 . The biggest common factor number is the GCF number.
So the greatest common factor 84,371 is 7.
Lets's calculate LCM of 519,405
3 | 519, 405 |
173, 135 |
∴ So the LCM of the given numbers is 3 x 173 x 135 = 70065
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/70065
Therefore, the GCF of Fractions 84/519,371/405 is 7/70065
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 519,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(519,405) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(519,405) x common factors =3 x 1 = 3
LCM(519,405) = ( 519 × 405 ) / 3
LCM(519,405) = 210195 / 3
LCM(519,405) = 70065
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 84/519, 371/405?
Answer: GCF of Numerators as per given numbers 84/519, 371/405 is
GCF of Numerators i.e. for 84,371 is 7
LCM of denominators i.e. for 519,405 is 70065.
Thus, GCF of Fractions is 7/70065.Finally, GCF of Fractions for 84/519, 371/405 is 7/70065.