Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 510/21,547/38,355/372
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 510,547,355
Greatest Common Factor of Numerators i.e. GCF of 510,547,355 is 1 .
LCM of Denominators means LCM of 21,38,372 as per the given fractions.
LCM of 21,38,372 is 49476 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 510,547,355
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 510
List of positive integer factors of 510 that divides 510 without a remainder.
1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
Factors of 547
List of positive integer factors of 547 that divides 547 without a remainder.
1,547
Factors of 355
List of positive integer factors of 355 that divides 355 without a remainder.
1,5,71,355
Greatest Common Factor
We found the factors 510,547,355 . The biggest common factor number is the GCF number.
So the greatest common factor 510,547,355 is 1.
Lets's calculate LCM of 21,38,372
2 | 21, 38, 372 |
3 | 21, 19, 186 |
7, 19, 62 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 19 x 62 = 49476
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49476
Therefore, the GCF of Fractions 510/21,547/38,355/372 is 1/49476
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 21,38,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,38,372) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(21,38,372) x common factors =1 x 6 = 6
LCM(21,38,372) = ( 21 × 38 × 372 ) / 6
LCM(21,38,372) = 296856 / 6
LCM(21,38,372) = 49476
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 510/21, 547/38, 355/372?
Answer: GCF of Numerators as per given numbers 510/21, 547/38, 355/372 is
GCF of Numerators i.e. for 510,547,355 is 1
LCM of denominators i.e. for 21,38,372 is 49476.
Thus, GCF of Fractions is 1/49476.Finally, GCF of Fractions for 510/21, 547/38, 355/372 is 1/49476.