Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 92/39,41/88,763/854
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 92,41,763
Greatest Common Factor of Numerators i.e. GCF of 92,41,763 is 1 .
LCM of Denominators means LCM of 39,88,854 as per the given fractions.
LCM of 39,88,854 is 1465464 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 92,41,763
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 763
List of positive integer factors of 763 that divides 763 without a remainder.
1,7,109,763
Greatest Common Factor
We found the factors 92,41,763 . The biggest common factor number is the GCF number.
So the greatest common factor 92,41,763 is 1.
Lets's calculate LCM of 39,88,854
2 | 39, 88, 854 |
39, 44, 427 |
∴ So the LCM of the given numbers is 2 x 39 x 44 x 427 = 1465464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1465464
Therefore, the GCF of Fractions 92/39,41/88,763/854 is 1/1465464
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 39,88,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,88,854) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(39,88,854) x common factors =1 x 2 = 2
LCM(39,88,854) = ( 39 × 88 × 854 ) / 2
LCM(39,88,854) = 2930928 / 2
LCM(39,88,854) = 1465464
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 92/39, 41/88, 763/854?
Answer: GCF of Numerators as per given numbers 92/39, 41/88, 763/854 is
GCF of Numerators i.e. for 92,41,763 is 1
LCM of denominators i.e. for 39,88,854 is 1465464.
Thus, GCF of Fractions is 1/1465464.Finally, GCF of Fractions for 92/39, 41/88, 763/854 is 1/1465464.