Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 941/77,398/10,440/542
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 941,398,440
Greatest Common Factor of Numerators i.e. GCF of 941,398,440 is 1 .
LCM of Denominators means LCM of 77,10,542 as per the given fractions.
LCM of 77,10,542 is 208670 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 941,398,440
∴ 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 398
List of positive integer factors of 398 that divides 398 without a remainder.
1,2,199,398
Factors of 440
List of positive integer factors of 440 that divides 440 without a remainder.
1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Greatest Common Factor
We found the factors 941,398,440 . The biggest common factor number is the GCF number.
So the greatest common factor 941,398,440 is 1.
Lets's calculate LCM of 77,10,542
2 | 77, 10, 542 |
77, 5, 271 |
∴ So the LCM of the given numbers is 2 x 77 x 5 x 271 = 208670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/208670
Therefore, the GCF of Fractions 941/77,398/10,440/542 is 1/208670
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 77,10,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,10,542) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(77,10,542) x common factors =1 x 2 = 2
LCM(77,10,542) = ( 77 × 10 × 542 ) / 2
LCM(77,10,542) = 417340 / 2
LCM(77,10,542) = 208670
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 941/77, 398/10, 440/542?
Answer: GCF of Numerators as per given numbers 941/77, 398/10, 440/542 is
GCF of Numerators i.e. for 941,398,440 is 1
LCM of denominators i.e. for 77,10,542 is 208670.
Thus, GCF of Fractions is 1/208670.Finally, GCF of Fractions for 941/77, 398/10, 440/542 is 1/208670.