Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 919/11,319/45,756/107
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 919,319,756
Greatest Common Factor of Numerators i.e. GCF of 919,319,756 is 1 .
LCM of Denominators means LCM of 11,45,107 as per the given fractions.
LCM of 11,45,107 is 52965 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 919,319,756
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 919
List of positive integer factors of 919 that divides 919 without a remainder.
1,919
Factors of 319
List of positive integer factors of 319 that divides 319 without a remainder.
1,11,29,319
Factors of 756
List of positive integer factors of 756 that divides 756 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Greatest Common Factor
We found the factors 919,319,756 . The biggest common factor number is the GCF number.
So the greatest common factor 919,319,756 is 1.
Lets's calculate LCM of 11,45,107
Given numbers has no common factors except 1. So, there LCM is their product i.e 52965
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52965
Therefore, the GCF of Fractions 919/11,319/45,756/107 is 1/52965
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 11,45,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,45,107) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,45,107) x common factors =1 x 1 = 1
LCM(11,45,107) = ( 11 × 45 × 107 ) / 1
LCM(11,45,107) = 52965 / 1
LCM(11,45,107) = 52965
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 919/11, 319/45, 756/107?
Answer: GCF of Numerators as per given numbers 919/11, 319/45, 756/107 is
GCF of Numerators i.e. for 919,319,756 is 1
LCM of denominators i.e. for 11,45,107 is 52965.
Thus, GCF of Fractions is 1/52965.Finally, GCF of Fractions for 919/11, 319/45, 756/107 is 1/52965.