Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7/52,678/47,406/97
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 7,678,406
Greatest Common Factor of Numerators i.e. GCF of 7,678,406 is 1 .
LCM of Denominators means LCM of 52,47,97 as per the given fractions.
LCM of 52,47,97 is 237068 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7,678,406
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7
List of positive integer factors of 7 that divides 7 without a remainder.
1,7
Factors of 678
List of positive integer factors of 678 that divides 678 without a remainder.
1,2,3,6,113,226,339,678
Factors of 406
List of positive integer factors of 406 that divides 406 without a remainder.
1,2,7,14,29,58,203,406
Greatest Common Factor
We found the factors 7,678,406 . The biggest common factor number is the GCF number.
So the greatest common factor 7,678,406 is 1.
Lets's calculate LCM of 52,47,97
Given numbers has no common factors except 1. So, there LCM is their product i.e 237068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/237068
Therefore, the GCF of Fractions 7/52,678/47,406/97 is 1/237068
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 52,47,97 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,47,97) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(52,47,97) x common factors =1 x 1 = 1
LCM(52,47,97) = ( 52 × 47 × 97 ) / 1
LCM(52,47,97) = 237068 / 1
LCM(52,47,97) = 237068
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 7/52, 678/47, 406/97?
Answer: GCF of Numerators as per given numbers 7/52, 678/47, 406/97 is
GCF of Numerators i.e. for 7,678,406 is 1
LCM of denominators i.e. for 52,47,97 is 237068.
Thus, GCF of Fractions is 1/237068.Finally, GCF of Fractions for 7/52, 678/47, 406/97 is 1/237068.