Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7759/15,1659/559
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 7759,1659
Greatest Common Factor of Numerators i.e. GCF of 7759,1659 is 1 .
LCM of Denominators means LCM of 15,559 as per the given fractions.
LCM of 15,559 is 8385 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7759,1659
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7759
List of positive integer factors of 7759 that divides 7759 without a remainder.
1,7759
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 7759,1659 . The biggest common factor number is the GCF number.
So the greatest common factor 7759,1659 is 1.
Lets's calculate LCM of 15,559
Given numbers has no common factors except 1. So, there LCM is their product i.e 8385
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8385
Therefore, the GCF of Fractions 7759/15,1659/559 is 1/8385
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 15,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,559) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(15,559) x common factors =1 x 1 = 1
LCM(15,559) = ( 15 × 559 ) / 1
LCM(15,559) = 8385 / 1
LCM(15,559) = 8385
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 7759/15, 1659/559?
Answer: GCF of Numerators as per given numbers 7759/15, 1659/559 is
GCF of Numerators i.e. for 7759,1659 is 1
LCM of denominators i.e. for 15,559 is 8385.
Thus, GCF of Fractions is 1/8385.Finally, GCF of Fractions for 7759/15, 1659/559 is 1/8385.