Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2197/47,1657/681
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 2197,1657
Greatest Common Factor of Numerators i.e. GCF of 2197,1657 is 1 .
LCM of Denominators means LCM of 47,681 as per the given fractions.
LCM of 47,681 is 32007 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2197,1657
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2197
List of positive integer factors of 2197 that divides 2197 without a remainder.
1,13,169,2197
Factors of 1657
List of positive integer factors of 1657 that divides 1657 without a remainder.
1,1657
Greatest Common Factor
We found the factors 2197,1657 . The biggest common factor number is the GCF number.
So the greatest common factor 2197,1657 is 1.
Lets's calculate LCM of 47,681
Given numbers has no common factors except 1. So, there LCM is their product i.e 32007
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32007
Therefore, the GCF of Fractions 2197/47,1657/681 is 1/32007
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 47,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,681) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,681) x common factors =1 x 1 = 1
LCM(47,681) = ( 47 × 681 ) / 1
LCM(47,681) = 32007 / 1
LCM(47,681) = 32007
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 2197/47, 1657/681?
Answer: GCF of Numerators as per given numbers 2197/47, 1657/681 is
GCF of Numerators i.e. for 2197,1657 is 1
LCM of denominators i.e. for 47,681 is 32007.
Thus, GCF of Fractions is 1/32007.Finally, GCF of Fractions for 2197/47, 1657/681 is 1/32007.