Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 95/83,31/43,22/61,798/16
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 95,31,22,798
Greatest Common Factor of Numerators i.e. GCF of 95,31,22,798 is 1 .
LCM of Denominators means LCM of 83,43,61,16 as per the given fractions.
LCM of 83,43,61,16 is 3483344 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 95,31,22,798
∴ 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 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 798
List of positive integer factors of 798 that divides 798 without a remainder.
1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798
Greatest Common Factor
We found the factors 95,31,22,798 . The biggest common factor number is the GCF number.
So the greatest common factor 95,31,22,798 is 1.
Lets's calculate LCM of 83,43,61,16
Given numbers has no common factors except 1. So, there LCM is their product i.e 3483344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3483344
Therefore, the GCF of Fractions 95/83,31/43,22/61,798/16 is 1/3483344
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 83,43,61,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,43,61,16) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,43,61,16) x common factors =1 x 1 = 1
LCM(83,43,61,16) = ( 83 × 43 × 61 × 16 ) / 1
LCM(83,43,61,16) = 3483344 / 1
LCM(83,43,61,16) = 3483344
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 95/83, 31/43, 22/61, 798/16?
Answer: GCF of Numerators as per given numbers 95/83, 31/43, 22/61, 798/16 is
GCF of Numerators i.e. for 95,31,22,798 is 1
LCM of denominators i.e. for 83,43,61,16 is 3483344.
Thus, GCF of Fractions is 1/3483344.Finally, GCF of Fractions for 95/83, 31/43, 22/61, 798/16 is 1/3483344.