Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 151/71,276/56,557/214
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 151,276,557
Greatest Common Factor of Numerators i.e. GCF of 151,276,557 is 1 .
LCM of Denominators means LCM of 71,56,214 as per the given fractions.
LCM of 71,56,214 is 425432 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 151,276,557
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 151
List of positive integer factors of 151 that divides 151 without a remainder.
1,151
Factors of 276
List of positive integer factors of 276 that divides 276 without a remainder.
1,2,3,4,6,12,23,46,69,92,138,276
Factors of 557
List of positive integer factors of 557 that divides 557 without a remainder.
1,557
Greatest Common Factor
We found the factors 151,276,557 . The biggest common factor number is the GCF number.
So the greatest common factor 151,276,557 is 1.
Lets's calculate LCM of 71,56,214
2 | 71, 56, 214 |
71, 28, 107 |
∴ So the LCM of the given numbers is 2 x 71 x 28 x 107 = 425432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/425432
Therefore, the GCF of Fractions 151/71,276/56,557/214 is 1/425432
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 71,56,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,56,214) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(71,56,214) x common factors =1 x 2 = 2
LCM(71,56,214) = ( 71 × 56 × 214 ) / 2
LCM(71,56,214) = 850864 / 2
LCM(71,56,214) = 425432
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 151/71, 276/56, 557/214?
Answer: GCF of Numerators as per given numbers 151/71, 276/56, 557/214 is
GCF of Numerators i.e. for 151,276,557 is 1
LCM of denominators i.e. for 71,56,214 is 425432.
Thus, GCF of Fractions is 1/425432.Finally, GCF of Fractions for 151/71, 276/56, 557/214 is 1/425432.