Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 942/600,638/181,526/862
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 942,638,526
Greatest Common Factor of Numerators i.e. GCF of 942,638,526 is 2 .
LCM of Denominators means LCM of 600,181,862 as per the given fractions.
LCM of 600,181,862 is 46806600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 942,638,526
2 | 942, 638, 526 |
471, 319, 263 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 942
List of positive integer factors of 942 that divides 942 without a remainder.
1,2,3,6,157,314,471,942
Factors of 638
List of positive integer factors of 638 that divides 638 without a remainder.
1,2,11,22,29,58,319,638
Factors of 526
List of positive integer factors of 526 that divides 526 without a remainder.
1,2,263,526
Greatest Common Factor
We found the factors 942,638,526 . The biggest common factor number is the GCF number.
So the greatest common factor 942,638,526 is 2.
Lets's calculate LCM of 600,181,862
2 | 600, 181, 862 |
300, 181, 431 |
∴ So the LCM of the given numbers is 2 x 300 x 181 x 431 = 46806600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/46806600
Therefore, the GCF of Fractions 942/600,638/181,526/862 is 2/46806600
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 600,181,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(600,181,862) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(600,181,862) x common factors =1 x 2 = 2
LCM(600,181,862) = ( 600 × 181 × 862 ) / 2
LCM(600,181,862) = 93613200 / 2
LCM(600,181,862) = 46806600
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 942/600, 638/181, 526/862?
Answer: GCF of Numerators as per given numbers 942/600, 638/181, 526/862 is
GCF of Numerators i.e. for 942,638,526 is 2
LCM of denominators i.e. for 600,181,862 is 46806600.
Thus, GCF of Fractions is 2/46806600.Finally, GCF of Fractions for 942/600, 638/181, 526/862 is 2/46806600.