Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 52/61,97/79,709/77
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 52,97,709
Greatest Common Factor of Numerators i.e. GCF of 52,97,709 is 1 .
LCM of Denominators means LCM of 61,79,77 as per the given fractions.
LCM of 61,79,77 is 371063 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 52,97,709
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 709
List of positive integer factors of 709 that divides 709 without a remainder.
1,709
Greatest Common Factor
We found the factors 52,97,709 . The biggest common factor number is the GCF number.
So the greatest common factor 52,97,709 is 1.
Lets's calculate LCM of 61,79,77
Given numbers has no common factors except 1. So, there LCM is their product i.e 371063
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/371063
Therefore, the GCF of Fractions 52/61,97/79,709/77 is 1/371063
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 61,79,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,79,77) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,79,77) x common factors =1 x 1 = 1
LCM(61,79,77) = ( 61 × 79 × 77 ) / 1
LCM(61,79,77) = 371063 / 1
LCM(61,79,77) = 371063
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 52/61, 97/79, 709/77?
Answer: GCF of Numerators as per given numbers 52/61, 97/79, 709/77 is
GCF of Numerators i.e. for 52,97,709 is 1
LCM of denominators i.e. for 61,79,77 is 371063.
Thus, GCF of Fractions is 1/371063.Finally, GCF of Fractions for 52/61, 97/79, 709/77 is 1/371063.