Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5411/156,1975/957
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 5411,1975
Greatest Common Factor of Numerators i.e. GCF of 5411,1975 is 1 .
LCM of Denominators means LCM of 156,957 as per the given fractions.
LCM of 156,957 is 49764 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5411,1975
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5411
List of positive integer factors of 5411 that divides 5411 without a remainder.
1,7,773,5411
Factors of 1975
List of positive integer factors of 1975 that divides 1975 without a remainder.
1,5,25,79,395,1975
Greatest Common Factor
We found the factors 5411,1975 . The biggest common factor number is the GCF number.
So the greatest common factor 5411,1975 is 1.
Lets's calculate LCM of 156,957
3 | 156, 957 |
52, 319 |
∴ So the LCM of the given numbers is 3 x 52 x 319 = 49764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49764
Therefore, the GCF of Fractions 5411/156,1975/957 is 1/49764
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 156,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(156,957) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(156,957) x common factors =3 x 1 = 3
LCM(156,957) = ( 156 × 957 ) / 3
LCM(156,957) = 149292 / 3
LCM(156,957) = 49764
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 5411/156, 1975/957?
Answer: GCF of Numerators as per given numbers 5411/156, 1975/957 is
GCF of Numerators i.e. for 5411,1975 is 1
LCM of denominators i.e. for 156,957 is 49764.
Thus, GCF of Fractions is 1/49764.Finally, GCF of Fractions for 5411/156, 1975/957 is 1/49764.