Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 87/56,56/17,46/47,61/31
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 87,56,46,61
Greatest Common Factor of Numerators i.e. GCF of 87,56,46,61 is 1 .
LCM of Denominators means LCM of 56,17,47,31 as per the given fractions.
LCM of 56,17,47,31 is 1387064 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 87,56,46,61
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Greatest Common Factor
We found the factors 87,56,46,61 . The biggest common factor number is the GCF number.
So the greatest common factor 87,56,46,61 is 1.
Lets's calculate LCM of 56,17,47,31
Given numbers has no common factors except 1. So, there LCM is their product i.e 1387064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1387064
Therefore, the GCF of Fractions 87/56,56/17,46/47,61/31 is 1/1387064
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 56,17,47,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,17,47,31) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(56,17,47,31) x common factors =1 x 1 = 1
LCM(56,17,47,31) = ( 56 × 17 × 47 × 31 ) / 1
LCM(56,17,47,31) = 1387064 / 1
LCM(56,17,47,31) = 1387064
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 87/56, 56/17, 46/47, 61/31?
Answer: GCF of Numerators as per given numbers 87/56, 56/17, 46/47, 61/31 is
GCF of Numerators i.e. for 87,56,46,61 is 1
LCM of denominators i.e. for 56,17,47,31 is 1387064.
Thus, GCF of Fractions is 1/1387064.Finally, GCF of Fractions for 87/56, 56/17, 46/47, 61/31 is 1/1387064.