Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 268/592,803/498,114/568
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 268,803,114
Greatest Common Factor of Numerators i.e. GCF of 268,803,114 is 1 .
LCM of Denominators means LCM of 592,498,568 as per the given fractions.
LCM of 592,498,568 is 10465968 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 268,803,114
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 268
List of positive integer factors of 268 that divides 268 without a remainder.
1,2,4,67,134,268
Factors of 803
List of positive integer factors of 803 that divides 803 without a remainder.
1,11,73,803
Factors of 114
List of positive integer factors of 114 that divides 114 without a remainder.
1,2,3,6,19,38,57,114
Greatest Common Factor
We found the factors 268,803,114 . The biggest common factor number is the GCF number.
So the greatest common factor 268,803,114 is 1.
Lets's calculate LCM of 592,498,568
2 | 592, 498, 568 |
2 | 296, 249, 284 |
2 | 148, 249, 142 |
74, 249, 71 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 74 x 249 x 71 = 10465968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10465968
Therefore, the GCF of Fractions 268/592,803/498,114/568 is 1/10465968
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 592,498,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(592,498,568) = 2
common factors(in case of two or more numbers have common factors) = 8
GCF(592,498,568) x common factors =2 x 8 = 16
LCM(592,498,568) = ( 592 × 498 × 568 ) / 16
LCM(592,498,568) = 167455488 / 16
LCM(592,498,568) = 10465968
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 268/592, 803/498, 114/568?
Answer: GCF of Numerators as per given numbers 268/592, 803/498, 114/568 is
GCF of Numerators i.e. for 268,803,114 is 1
LCM of denominators i.e. for 592,498,568 is 10465968.
Thus, GCF of Fractions is 1/10465968.Finally, GCF of Fractions for 268/592, 803/498, 114/568 is 1/10465968.