Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 663/409,710/309,151/689
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 663,710,151
Greatest Common Factor of Numerators i.e. GCF of 663,710,151 is 1 .
LCM of Denominators means LCM of 409,309,689 as per the given fractions.
LCM of 409,309,689 is 87076509 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 663,710,151
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 663
List of positive integer factors of 663 that divides 663 without a remainder.
1,3,13,17,39,51,221,663
Factors of 710
List of positive integer factors of 710 that divides 710 without a remainder.
1,2,5,10,71,142,355,710
Factors of 151
List of positive integer factors of 151 that divides 151 without a remainder.
1,151
Greatest Common Factor
We found the factors 663,710,151 . The biggest common factor number is the GCF number.
So the greatest common factor 663,710,151 is 1.
Lets's calculate LCM of 409,309,689
Given numbers has no common factors except 1. So, there LCM is their product i.e 87076509
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87076509
Therefore, the GCF of Fractions 663/409,710/309,151/689 is 1/87076509
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 409,309,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,309,689) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,309,689) x common factors =1 x 1 = 1
LCM(409,309,689) = ( 409 × 309 × 689 ) / 1
LCM(409,309,689) = 87076509 / 1
LCM(409,309,689) = 87076509
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 663/409, 710/309, 151/689?
Answer: GCF of Numerators as per given numbers 663/409, 710/309, 151/689 is
GCF of Numerators i.e. for 663,710,151 is 1
LCM of denominators i.e. for 409,309,689 is 87076509.
Thus, GCF of Fractions is 1/87076509.Finally, GCF of Fractions for 663/409, 710/309, 151/689 is 1/87076509.