Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1573/67,2071/372
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 1573,2071
Greatest Common Factor of Numerators i.e. GCF of 1573,2071 is 1 .
LCM of Denominators means LCM of 67,372 as per the given fractions.
LCM of 67,372 is 24924 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1573,2071
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1573
List of positive integer factors of 1573 that divides 1573 without a remainder.
1,11,13,121,143,1573
Factors of 2071
List of positive integer factors of 2071 that divides 2071 without a remainder.
1,19,109,2071
Greatest Common Factor
We found the factors 1573,2071 . The biggest common factor number is the GCF number.
So the greatest common factor 1573,2071 is 1.
Lets's calculate LCM of 67,372
Given numbers has no common factors except 1. So, there LCM is their product i.e 24924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24924
Therefore, the GCF of Fractions 1573/67,2071/372 is 1/24924
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 67,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,372) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,372) x common factors =1 x 1 = 1
LCM(67,372) = ( 67 × 372 ) / 1
LCM(67,372) = 24924 / 1
LCM(67,372) = 24924
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 1573/67, 2071/372?
Answer: GCF of Numerators as per given numbers 1573/67, 2071/372 is
GCF of Numerators i.e. for 1573,2071 is 1
LCM of denominators i.e. for 67,372 is 24924.
Thus, GCF of Fractions is 1/24924.Finally, GCF of Fractions for 1573/67, 2071/372 is 1/24924.