Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 597/315,999/482,257/887
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 597,999,257
Greatest Common Factor of Numerators i.e. GCF of 597,999,257 is 1 .
LCM of Denominators means LCM of 315,482,887 as per the given fractions.
LCM of 315,482,887 is 134673210 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 597,999,257
∴ 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 999
List of positive integer factors of 999 that divides 999 without a remainder.
1,3,9,27,37,111,333,999
Factors of 257
List of positive integer factors of 257 that divides 257 without a remainder.
1,257
Greatest Common Factor
We found the factors 597,999,257 . The biggest common factor number is the GCF number.
So the greatest common factor 597,999,257 is 1.
Lets's calculate LCM of 315,482,887
Given numbers has no common factors except 1. So, there LCM is their product i.e 134673210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/134673210
Therefore, the GCF of Fractions 597/315,999/482,257/887 is 1/134673210
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 315,482,887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(315,482,887) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(315,482,887) x common factors =1 x 1 = 1
LCM(315,482,887) = ( 315 × 482 × 887 ) / 1
LCM(315,482,887) = 134673210 / 1
LCM(315,482,887) = 134673210
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 597/315, 999/482, 257/887?
Answer: GCF of Numerators as per given numbers 597/315, 999/482, 257/887 is
GCF of Numerators i.e. for 597,999,257 is 1
LCM of denominators i.e. for 315,482,887 is 134673210.
Thus, GCF of Fractions is 1/134673210.Finally, GCF of Fractions for 597/315, 999/482, 257/887 is 1/134673210.