Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 562/24,669/52,275/741
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 562,669,275
Greatest Common Factor of Numerators i.e. GCF of 562,669,275 is 1 .
LCM of Denominators means LCM of 24,52,741 as per the given fractions.
LCM of 24,52,741 is 5928 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 562,669,275
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 562
List of positive integer factors of 562 that divides 562 without a remainder.
1,2,281,562
Factors of 669
List of positive integer factors of 669 that divides 669 without a remainder.
1,3,223,669
Factors of 275
List of positive integer factors of 275 that divides 275 without a remainder.
1,5,11,25,55,275
Greatest Common Factor
We found the factors 562,669,275 . The biggest common factor number is the GCF number.
So the greatest common factor 562,669,275 is 1.
Lets's calculate LCM of 24,52,741
2 | 24, 52, 741 |
2 | 12, 26, 741 |
3 | 6, 13, 741 |
13 | 2, 13, 247 |
2, 1, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 2 x 1 x 19 = 5928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5928
Therefore, the GCF of Fractions 562/24,669/52,275/741 is 1/5928
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 24,52,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,52,741) = 1
common factors(in case of two or more numbers have common factors) = 156
GCF(24,52,741) x common factors =1 x 156 = 156
LCM(24,52,741) = ( 24 × 52 × 741 ) / 156
LCM(24,52,741) = 924768 / 156
LCM(24,52,741) = 5928
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 562/24, 669/52, 275/741?
Answer: GCF of Numerators as per given numbers 562/24, 669/52, 275/741 is
GCF of Numerators i.e. for 562,669,275 is 1
LCM of denominators i.e. for 24,52,741 is 5928.
Thus, GCF of Fractions is 1/5928.Finally, GCF of Fractions for 562/24, 669/52, 275/741 is 1/5928.