Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 941/840,471/720,932/924
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 941,471,932
Greatest Common Factor of Numerators i.e. GCF of 941,471,932 is 1 .
LCM of Denominators means LCM of 840,720,924 as per the given fractions.
LCM of 840,720,924 is 55440 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 941,471,932
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 941
List of positive integer factors of 941 that divides 941 without a remainder.
1,941
Factors of 471
List of positive integer factors of 471 that divides 471 without a remainder.
1,3,157,471
Factors of 932
List of positive integer factors of 932 that divides 932 without a remainder.
1,2,4,233,466,932
Greatest Common Factor
We found the factors 941,471,932 . The biggest common factor number is the GCF number.
So the greatest common factor 941,471,932 is 1.
Lets's calculate LCM of 840,720,924
2 | 840, 720, 924 |
2 | 420, 360, 462 |
2 | 210, 180, 231 |
3 | 105, 90, 231 |
5 | 35, 30, 77 |
7 | 7, 6, 77 |
1, 6, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 7 x 1 x 6 x 11 = 55440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55440
Therefore, the GCF of Fractions 941/840,471/720,932/924 is 1/55440
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 840,720,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,720,924) = 12
common factors(in case of two or more numbers have common factors) = 840
GCF(840,720,924) x common factors =12 x 840 = 10080
LCM(840,720,924) = ( 840 × 720 × 924 ) / 10080
LCM(840,720,924) = 558835200 / 10080
LCM(840,720,924) = 55440
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 941/840, 471/720, 932/924?
Answer: GCF of Numerators as per given numbers 941/840, 471/720, 932/924 is
GCF of Numerators i.e. for 941,471,932 is 1
LCM of denominators i.e. for 840,720,924 is 55440.
Thus, GCF of Fractions is 1/55440.Finally, GCF of Fractions for 941/840, 471/720, 932/924 is 1/55440.