Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 21/17,81/45,75/61,56/781
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 21,81,75,56
Greatest Common Factor of Numerators i.e. GCF of 21,81,75,56 is 1 .
LCM of Denominators means LCM of 17,45,61,781 as per the given fractions.
LCM of 17,45,61,781 is 36445365 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 21,81,75,56
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Greatest Common Factor
We found the factors 21,81,75,56 . The biggest common factor number is the GCF number.
So the greatest common factor 21,81,75,56 is 1.
Lets's calculate LCM of 17,45,61,781
Given numbers has no common factors except 1. So, there LCM is their product i.e 36445365
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36445365
Therefore, the GCF of Fractions 21/17,81/45,75/61,56/781 is 1/36445365
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 17,45,61,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,45,61,781) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,45,61,781) x common factors =1 x 1 = 1
LCM(17,45,61,781) = ( 17 × 45 × 61 × 781 ) / 1
LCM(17,45,61,781) = 36445365 / 1
LCM(17,45,61,781) = 36445365
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 21/17, 81/45, 75/61, 56/781?
Answer: GCF of Numerators as per given numbers 21/17, 81/45, 75/61, 56/781 is
GCF of Numerators i.e. for 21,81,75,56 is 1
LCM of denominators i.e. for 17,45,61,781 is 36445365.
Thus, GCF of Fractions is 1/36445365.Finally, GCF of Fractions for 21/17, 81/45, 75/61, 56/781 is 1/36445365.