Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 251/346,228/581,757/431
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 251,228,757
Greatest Common Factor of Numerators i.e. GCF of 251,228,757 is 1 .
LCM of Denominators means LCM of 346,581,431 as per the given fractions.
LCM of 346,581,431 is 86642206 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 251,228,757
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 251
List of positive integer factors of 251 that divides 251 without a remainder.
1,251
Factors of 228
List of positive integer factors of 228 that divides 228 without a remainder.
1,2,3,4,6,12,19,38,57,76,114,228
Factors of 757
List of positive integer factors of 757 that divides 757 without a remainder.
1,757
Greatest Common Factor
We found the factors 251,228,757 . The biggest common factor number is the GCF number.
So the greatest common factor 251,228,757 is 1.
Lets's calculate LCM of 346,581,431
Given numbers has no common factors except 1. So, there LCM is their product i.e 86642206
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86642206
Therefore, the GCF of Fractions 251/346,228/581,757/431 is 1/86642206
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 346,581,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(346,581,431) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(346,581,431) x common factors =1 x 1 = 1
LCM(346,581,431) = ( 346 × 581 × 431 ) / 1
LCM(346,581,431) = 86642206 / 1
LCM(346,581,431) = 86642206
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 251/346, 228/581, 757/431?
Answer: GCF of Numerators as per given numbers 251/346, 228/581, 757/431 is
GCF of Numerators i.e. for 251,228,757 is 1
LCM of denominators i.e. for 346,581,431 is 86642206.
Thus, GCF of Fractions is 1/86642206.Finally, GCF of Fractions for 251/346, 228/581, 757/431 is 1/86642206.