Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 91/73,560/95,155/262
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 91,560,155
Greatest Common Factor of Numerators i.e. GCF of 91,560,155 is 1 .
LCM of Denominators means LCM of 73,95,262 as per the given fractions.
LCM of 73,95,262 is 1816970 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 91,560,155
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 560
List of positive integer factors of 560 that divides 560 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560
Factors of 155
List of positive integer factors of 155 that divides 155 without a remainder.
1,5,31,155
Greatest Common Factor
We found the factors 91,560,155 . The biggest common factor number is the GCF number.
So the greatest common factor 91,560,155 is 1.
Lets's calculate LCM of 73,95,262
Given numbers has no common factors except 1. So, there LCM is their product i.e 1816970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1816970
Therefore, the GCF of Fractions 91/73,560/95,155/262 is 1/1816970
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 73,95,262 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,95,262) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,95,262) x common factors =1 x 1 = 1
LCM(73,95,262) = ( 73 × 95 × 262 ) / 1
LCM(73,95,262) = 1816970 / 1
LCM(73,95,262) = 1816970
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 91/73, 560/95, 155/262?
Answer: GCF of Numerators as per given numbers 91/73, 560/95, 155/262 is
GCF of Numerators i.e. for 91,560,155 is 1
LCM of denominators i.e. for 73,95,262 is 1816970.
Thus, GCF of Fractions is 1/1816970.Finally, GCF of Fractions for 91/73, 560/95, 155/262 is 1/1816970.