Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 78/22,419/91,457/550
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 78,419,457
Greatest Common Factor of Numerators i.e. GCF of 78,419,457 is 1 .
LCM of Denominators means LCM of 22,91,550 as per the given fractions.
LCM of 22,91,550 is 50050 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 78,419,457
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 419
List of positive integer factors of 419 that divides 419 without a remainder.
1,419
Factors of 457
List of positive integer factors of 457 that divides 457 without a remainder.
1,457
Greatest Common Factor
We found the factors 78,419,457 . The biggest common factor number is the GCF number.
So the greatest common factor 78,419,457 is 1.
Lets's calculate LCM of 22,91,550
2 | 22, 91, 550 |
11 | 11, 91, 275 |
1, 91, 25 |
∴ So the LCM of the given numbers is 2 x 11 x 1 x 91 x 25 = 50050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50050
Therefore, the GCF of Fractions 78/22,419/91,457/550 is 1/50050
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 22,91,550 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,91,550) = 1
common factors(in case of two or more numbers have common factors) = 22
GCF(22,91,550) x common factors =1 x 22 = 22
LCM(22,91,550) = ( 22 × 91 × 550 ) / 22
LCM(22,91,550) = 1101100 / 22
LCM(22,91,550) = 50050
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 78/22, 419/91, 457/550?
Answer: GCF of Numerators as per given numbers 78/22, 419/91, 457/550 is
GCF of Numerators i.e. for 78,419,457 is 1
LCM of denominators i.e. for 22,91,550 is 50050.
Thus, GCF of Fractions is 1/50050.Finally, GCF of Fractions for 78/22, 419/91, 457/550 is 1/50050.