Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 58/780,981/657,512/178
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 58,981,512
Greatest Common Factor of Numerators i.e. GCF of 58,981,512 is 1 .
LCM of Denominators means LCM of 780,657,178 as per the given fractions.
LCM of 780,657,178 is 15202980 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 58,981,512
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 981
List of positive integer factors of 981 that divides 981 without a remainder.
1,3,9,109,327,981
Factors of 512
List of positive integer factors of 512 that divides 512 without a remainder.
1,2,4,8,16,32,64,128,256,512
Greatest Common Factor
We found the factors 58,981,512 . The biggest common factor number is the GCF number.
So the greatest common factor 58,981,512 is 1.
Lets's calculate LCM of 780,657,178
2 | 780, 657, 178 |
3 | 390, 657, 89 |
130, 219, 89 |
∴ So the LCM of the given numbers is 2 x 3 x 130 x 219 x 89 = 15202980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15202980
Therefore, the GCF of Fractions 58/780,981/657,512/178 is 1/15202980
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 780,657,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(780,657,178) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(780,657,178) x common factors =1 x 6 = 6
LCM(780,657,178) = ( 780 × 657 × 178 ) / 6
LCM(780,657,178) = 91217880 / 6
LCM(780,657,178) = 15202980
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 58/780, 981/657, 512/178?
Answer: GCF of Numerators as per given numbers 58/780, 981/657, 512/178 is
GCF of Numerators i.e. for 58,981,512 is 1
LCM of denominators i.e. for 780,657,178 is 15202980.
Thus, GCF of Fractions is 1/15202980.Finally, GCF of Fractions for 58/780, 981/657, 512/178 is 1/15202980.