Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 91/11,97/67,640/62
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 91,97,640
Greatest Common Factor of Numerators i.e. GCF of 91,97,640 is 1 .
LCM of Denominators means LCM of 11,67,62 as per the given fractions.
LCM of 11,67,62 is 45694 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 91,97,640
∴ 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 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 640
List of positive integer factors of 640 that divides 640 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640
Greatest Common Factor
We found the factors 91,97,640 . The biggest common factor number is the GCF number.
So the greatest common factor 91,97,640 is 1.
Lets's calculate LCM of 11,67,62
Given numbers has no common factors except 1. So, there LCM is their product i.e 45694
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45694
Therefore, the GCF of Fractions 91/11,97/67,640/62 is 1/45694
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 11,67,62 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,67,62) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,67,62) x common factors =1 x 1 = 1
LCM(11,67,62) = ( 11 × 67 × 62 ) / 1
LCM(11,67,62) = 45694 / 1
LCM(11,67,62) = 45694
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 91/11, 97/67, 640/62?
Answer: GCF of Numerators as per given numbers 91/11, 97/67, 640/62 is
GCF of Numerators i.e. for 91,97,640 is 1
LCM of denominators i.e. for 11,67,62 is 45694.
Thus, GCF of Fractions is 1/45694.Finally, GCF of Fractions for 91/11, 97/67, 640/62 is 1/45694.