Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9917/62,1659/597
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 9917,1659
Greatest Common Factor of Numerators i.e. GCF of 9917,1659 is 1 .
LCM of Denominators means LCM of 62,597 as per the given fractions.
LCM of 62,597 is 37014 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9917,1659
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9917
List of positive integer factors of 9917 that divides 9917 without a remainder.
1,47,211,9917
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 9917,1659 . The biggest common factor number is the GCF number.
So the greatest common factor 9917,1659 is 1.
Lets's calculate LCM of 62,597
Given numbers has no common factors except 1. So, there LCM is their product i.e 37014
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37014
Therefore, the GCF of Fractions 9917/62,1659/597 is 1/37014
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 62,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,597) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(62,597) x common factors =1 x 1 = 1
LCM(62,597) = ( 62 × 597 ) / 1
LCM(62,597) = 37014 / 1
LCM(62,597) = 37014
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 9917/62, 1659/597?
Answer: GCF of Numerators as per given numbers 9917/62, 1659/597 is
GCF of Numerators i.e. for 9917,1659 is 1
LCM of denominators i.e. for 62,597 is 37014.
Thus, GCF of Fractions is 1/37014.Finally, GCF of Fractions for 9917/62, 1659/597 is 1/37014.