Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 597/474,509/171,966/295
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 597,509,966
Greatest Common Factor of Numerators i.e. GCF of 597,509,966 is 1 .
LCM of Denominators means LCM of 474,171,295 as per the given fractions.
LCM of 474,171,295 is 7970310 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 597,509,966
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 597
List of positive integer factors of 597 that divides 597 without a remainder.
1,3,199,597
Factors of 509
List of positive integer factors of 509 that divides 509 without a remainder.
1,509
Factors of 966
List of positive integer factors of 966 that divides 966 without a remainder.
1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966
Greatest Common Factor
We found the factors 597,509,966 . The biggest common factor number is the GCF number.
So the greatest common factor 597,509,966 is 1.
Lets's calculate LCM of 474,171,295
3 | 474, 171, 295 |
158, 57, 295 |
∴ So the LCM of the given numbers is 3 x 158 x 57 x 295 = 7970310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7970310
Therefore, the GCF of Fractions 597/474,509/171,966/295 is 1/7970310
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 474,171,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(474,171,295) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(474,171,295) x common factors =1 x 3 = 3
LCM(474,171,295) = ( 474 × 171 × 295 ) / 3
LCM(474,171,295) = 23910930 / 3
LCM(474,171,295) = 7970310
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 597/474, 509/171, 966/295?
Answer: GCF of Numerators as per given numbers 597/474, 509/171, 966/295 is
GCF of Numerators i.e. for 597,509,966 is 1
LCM of denominators i.e. for 474,171,295 is 7970310.
Thus, GCF of Fractions is 1/7970310.Finally, GCF of Fractions for 597/474, 509/171, 966/295 is 1/7970310.