Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3/78,56/49,24/751,517/236
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 3,56,24,517
Greatest Common Factor of Numerators i.e. GCF of 3,56,24,517 is 1 .
LCM of Denominators means LCM of 78,49,751,236 as per the given fractions.
LCM of 78,49,751,236 is 338697996 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3,56,24,517
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3
List of positive integer factors of 3 that divides 3 without a remainder.
1,3
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 517
List of positive integer factors of 517 that divides 517 without a remainder.
1,11,47,517
Greatest Common Factor
We found the factors 3,56,24,517 . The biggest common factor number is the GCF number.
So the greatest common factor 3,56,24,517 is 1.
Lets's calculate LCM of 78,49,751,236
2 | 78, 49, 751, 236 |
39, 49, 751, 118 |
∴ So the LCM of the given numbers is 2 x 39 x 49 x 751 x 118 = 338697996
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/338697996
Therefore, the GCF of Fractions 3/78,56/49,24/751,517/236 is 1/338697996
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 78,49,751,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,49,751,236) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(78,49,751,236) x common factors =1 x 2 = 2
LCM(78,49,751,236) = ( 78 × 49 × 751 × 236 ) / 2
LCM(78,49,751,236) = 677395992 / 2
LCM(78,49,751,236) = 338697996
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 3/78, 56/49, 24/751, 517/236?
Answer: GCF of Numerators as per given numbers 3/78, 56/49, 24/751, 517/236 is
GCF of Numerators i.e. for 3,56,24,517 is 1
LCM of denominators i.e. for 78,49,751,236 is 338697996.
Thus, GCF of Fractions is 1/338697996.Finally, GCF of Fractions for 3/78, 56/49, 24/751, 517/236 is 1/338697996.