Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 95/493,44/486,985/115
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 95,44,985
Greatest Common Factor of Numerators i.e. GCF of 95,44,985 is 1 .
LCM of Denominators means LCM of 493,486,115 as per the given fractions.
LCM of 493,486,115 is 27553770 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 95,44,985
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 985
List of positive integer factors of 985 that divides 985 without a remainder.
1,5,197,985
Greatest Common Factor
We found the factors 95,44,985 . The biggest common factor number is the GCF number.
So the greatest common factor 95,44,985 is 1.
Lets's calculate LCM of 493,486,115
Given numbers has no common factors except 1. So, there LCM is their product i.e 27553770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27553770
Therefore, the GCF of Fractions 95/493,44/486,985/115 is 1/27553770
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 493,486,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(493,486,115) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(493,486,115) x common factors =1 x 1 = 1
LCM(493,486,115) = ( 493 × 486 × 115 ) / 1
LCM(493,486,115) = 27553770 / 1
LCM(493,486,115) = 27553770
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 95/493, 44/486, 985/115?
Answer: GCF of Numerators as per given numbers 95/493, 44/486, 985/115 is
GCF of Numerators i.e. for 95,44,985 is 1
LCM of denominators i.e. for 493,486,115 is 27553770.
Thus, GCF of Fractions is 1/27553770.Finally, GCF of Fractions for 95/493, 44/486, 985/115 is 1/27553770.