Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 64/77,29/97,67/71,31/19
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 64,29,67,31
Greatest Common Factor of Numerators i.e. GCF of 64,29,67,31 is 1 .
LCM of Denominators means LCM of 77,97,71,19 as per the given fractions.
LCM of 77,97,71,19 is 10075681 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 64,29,67,31
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Greatest Common Factor
We found the factors 64,29,67,31 . The biggest common factor number is the GCF number.
So the greatest common factor 64,29,67,31 is 1.
Lets's calculate LCM of 77,97,71,19
Given numbers has no common factors except 1. So, there LCM is their product i.e 10075681
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10075681
Therefore, the GCF of Fractions 64/77,29/97,67/71,31/19 is 1/10075681
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 77,97,71,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,97,71,19) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,97,71,19) x common factors =1 x 1 = 1
LCM(77,97,71,19) = ( 77 × 97 × 71 × 19 ) / 1
LCM(77,97,71,19) = 10075681 / 1
LCM(77,97,71,19) = 10075681
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 64/77, 29/97, 67/71, 31/19?
Answer: GCF of Numerators as per given numbers 64/77, 29/97, 67/71, 31/19 is
GCF of Numerators i.e. for 64,29,67,31 is 1
LCM of denominators i.e. for 77,97,71,19 is 10075681.
Thus, GCF of Fractions is 1/10075681.Finally, GCF of Fractions for 64/77, 29/97, 67/71, 31/19 is 1/10075681.