Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 253/71,785/23,101/307
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 253,785,101
Greatest Common Factor of Numerators i.e. GCF of 253,785,101 is 1 .
LCM of Denominators means LCM of 71,23,307 as per the given fractions.
LCM of 71,23,307 is 501331 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 253,785,101
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 253
List of positive integer factors of 253 that divides 253 without a remainder.
1,11,23,253
Factors of 785
List of positive integer factors of 785 that divides 785 without a remainder.
1,5,157,785
Factors of 101
List of positive integer factors of 101 that divides 101 without a remainder.
1,101
Greatest Common Factor
We found the factors 253,785,101 . The biggest common factor number is the GCF number.
So the greatest common factor 253,785,101 is 1.
Lets's calculate LCM of 71,23,307
Given numbers has no common factors except 1. So, there LCM is their product i.e 501331
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/501331
Therefore, the GCF of Fractions 253/71,785/23,101/307 is 1/501331
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 71,23,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,23,307) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,23,307) x common factors =1 x 1 = 1
LCM(71,23,307) = ( 71 × 23 × 307 ) / 1
LCM(71,23,307) = 501331 / 1
LCM(71,23,307) = 501331
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 253/71, 785/23, 101/307?
Answer: GCF of Numerators as per given numbers 253/71, 785/23, 101/307 is
GCF of Numerators i.e. for 253,785,101 is 1
LCM of denominators i.e. for 71,23,307 is 501331.
Thus, GCF of Fractions is 1/501331.Finally, GCF of Fractions for 253/71, 785/23, 101/307 is 1/501331.