Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 202/973,1659/160
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 202,1659
Greatest Common Factor of Numerators i.e. GCF of 202,1659 is 1 .
LCM of Denominators means LCM of 973,160 as per the given fractions.
LCM of 973,160 is 155680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 202,1659
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 202
List of positive integer factors of 202 that divides 202 without a remainder.
1,2,101,202
Factors of 1659
List of positive integer factors of 1659 that divides 1659 without a remainder.
1,3,7,21,79,237,553,1659
Greatest Common Factor
We found the factors 202,1659 . The biggest common factor number is the GCF number.
So the greatest common factor 202,1659 is 1.
Lets's calculate LCM of 973,160
Given numbers has no common factors except 1. So, there LCM is their product i.e 155680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/155680
Therefore, the GCF of Fractions 202/973,1659/160 is 1/155680
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 973,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(973,160) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(973,160) x common factors =1 x 1 = 1
LCM(973,160) = ( 973 × 160 ) / 1
LCM(973,160) = 155680 / 1
LCM(973,160) = 155680
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 202/973, 1659/160?
Answer: GCF of Numerators as per given numbers 202/973, 1659/160 is
GCF of Numerators i.e. for 202,1659 is 1
LCM of denominators i.e. for 973,160 is 155680.
Thus, GCF of Fractions is 1/155680.Finally, GCF of Fractions for 202/973, 1659/160 is 1/155680.