Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 296/60,354/57,658/526
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 296,354,658
Greatest Common Factor of Numerators i.e. GCF of 296,354,658 is 2 .
LCM of Denominators means LCM of 60,57,526 as per the given fractions.
LCM of 60,57,526 is 299820 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 296,354,658
2 | 296, 354, 658 |
148, 177, 329 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 296
List of positive integer factors of 296 that divides 296 without a remainder.
1,2,4,8,37,74,148,296
Factors of 354
List of positive integer factors of 354 that divides 354 without a remainder.
1,2,3,6,59,118,177,354
Factors of 658
List of positive integer factors of 658 that divides 658 without a remainder.
1,2,7,14,47,94,329,658
Greatest Common Factor
We found the factors 296,354,658 . The biggest common factor number is the GCF number.
So the greatest common factor 296,354,658 is 2.
Lets's calculate LCM of 60,57,526
2 | 60, 57, 526 |
3 | 30, 57, 263 |
10, 19, 263 |
∴ So the LCM of the given numbers is 2 x 3 x 10 x 19 x 263 = 299820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/299820
Therefore, the GCF of Fractions 296/60,354/57,658/526 is 2/299820
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 60,57,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,57,526) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(60,57,526) x common factors =1 x 6 = 6
LCM(60,57,526) = ( 60 × 57 × 526 ) / 6
LCM(60,57,526) = 1798920 / 6
LCM(60,57,526) = 299820
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 296/60, 354/57, 658/526?
Answer: GCF of Numerators as per given numbers 296/60, 354/57, 658/526 is
GCF of Numerators i.e. for 296,354,658 is 2
LCM of denominators i.e. for 60,57,526 is 299820.
Thus, GCF of Fractions is 2/299820.Finally, GCF of Fractions for 296/60, 354/57, 658/526 is 2/299820.