Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 592/312,968/210
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 592,968
Greatest Common Factor of Numerators i.e. GCF of 592,968 is 8 .
LCM of Denominators means LCM of 312,210 as per the given fractions.
LCM of 312,210 is 10920 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 592,968
2 | 592, 968 |
2 | 296, 484 |
2 | 148, 242 |
74, 121 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 592
List of positive integer factors of 592 that divides 592 without a remainder.
1,2,4,8,16,37,74,148,296,592
Factors of 968
List of positive integer factors of 968 that divides 968 without a remainder.
1,2,4,8,11,22,44,88,121,242,484,968
Greatest Common Factor
We found the factors 592,968 . The biggest common factor number is the GCF number.
So the greatest common factor 592,968 is 8.
Lets's calculate LCM of 312,210
2 | 312, 210 |
3 | 156, 105 |
52, 35 |
∴ So the LCM of the given numbers is 2 x 3 x 52 x 35 = 10920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/10920
Therefore, the GCF of Fractions 592/312,968/210 is 8/10920
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 312,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,210) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(312,210) x common factors =6 x 1 = 6
LCM(312,210) = ( 312 × 210 ) / 6
LCM(312,210) = 65520 / 6
LCM(312,210) = 10920
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 592/312, 968/210?
Answer: GCF of Numerators as per given numbers 592/312, 968/210 is
GCF of Numerators i.e. for 592,968 is 8
LCM of denominators i.e. for 312,210 is 10920.
Thus, GCF of Fractions is 8/10920.Finally, GCF of Fractions for 592/312, 968/210 is 8/10920.