Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2207/320,1673/6597
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 2207,1673
Greatest Common Factor of Numerators i.e. GCF of 2207,1673 is 1 .
LCM of Denominators means LCM of 320,6597 as per the given fractions.
LCM of 320,6597 is 2111040 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2207,1673
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2207
List of positive integer factors of 2207 that divides 2207 without a remainder.
1,2207
Factors of 1673
List of positive integer factors of 1673 that divides 1673 without a remainder.
1,7,239,1673
Greatest Common Factor
We found the factors 2207,1673 . The biggest common factor number is the GCF number.
So the greatest common factor 2207,1673 is 1.
Lets's calculate LCM of 320,6597
Given numbers has no common factors except 1. So, there LCM is their product i.e 2111040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2111040
Therefore, the GCF of Fractions 2207/320,1673/6597 is 1/2111040
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 320,6597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(320,6597) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(320,6597) x common factors =1 x 1 = 1
LCM(320,6597) = ( 320 × 6597 ) / 1
LCM(320,6597) = 2111040 / 1
LCM(320,6597) = 2111040
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 2207/320, 1673/6597?
Answer: GCF of Numerators as per given numbers 2207/320, 1673/6597 is
GCF of Numerators i.e. for 2207,1673 is 1
LCM of denominators i.e. for 320,6597 is 2111040.
Thus, GCF of Fractions is 1/2111040.Finally, GCF of Fractions for 2207/320, 1673/6597 is 1/2111040.