Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 595/79,671/4160
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 595,671
Greatest Common Factor of Numerators i.e. GCF of 595,671 is 1 .
LCM of Denominators means LCM of 79,4160 as per the given fractions.
LCM of 79,4160 is 328640 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 595,671
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 595
List of positive integer factors of 595 that divides 595 without a remainder.
1,5,7,17,35,85,119,595
Factors of 671
List of positive integer factors of 671 that divides 671 without a remainder.
1,11,61,671
Greatest Common Factor
We found the factors 595,671 . The biggest common factor number is the GCF number.
So the greatest common factor 595,671 is 1.
Lets's calculate LCM of 79,4160
Given numbers has no common factors except 1. So, there LCM is their product i.e 328640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/328640
Therefore, the GCF of Fractions 595/79,671/4160 is 1/328640
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 79,4160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,4160) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,4160) x common factors =1 x 1 = 1
LCM(79,4160) = ( 79 × 4160 ) / 1
LCM(79,4160) = 328640 / 1
LCM(79,4160) = 328640
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 595/79, 671/4160?
Answer: GCF of Numerators as per given numbers 595/79, 671/4160 is
GCF of Numerators i.e. for 595,671 is 1
LCM of denominators i.e. for 79,4160 is 328640.
Thus, GCF of Fractions is 1/328640.Finally, GCF of Fractions for 595/79, 671/4160 is 1/328640.