Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 67/559,3402/8910
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 67,3402
Greatest Common Factor of Numerators i.e. GCF of 67,3402 is 1 .
LCM of Denominators means LCM of 559,8910 as per the given fractions.
LCM of 559,8910 is 4980690 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 67,3402
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 3402
List of positive integer factors of 3402 that divides 3402 without a remainder.
1,2,3,6,7,9,14,18,21,27,42,54,63,81,126,162,189,243,378,486,567,1134,1701,3402
Greatest Common Factor
We found the factors 67,3402 . The biggest common factor number is the GCF number.
So the greatest common factor 67,3402 is 1.
Lets's calculate LCM of 559,8910
Given numbers has no common factors except 1. So, there LCM is their product i.e 4980690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4980690
Therefore, the GCF of Fractions 67/559,3402/8910 is 1/4980690
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 559,8910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(559,8910) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(559,8910) x common factors =1 x 1 = 1
LCM(559,8910) = ( 559 × 8910 ) / 1
LCM(559,8910) = 4980690 / 1
LCM(559,8910) = 4980690
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 67/559, 3402/8910?
Answer: GCF of Numerators as per given numbers 67/559, 3402/8910 is
GCF of Numerators i.e. for 67,3402 is 1
LCM of denominators i.e. for 559,8910 is 4980690.
Thus, GCF of Fractions is 1/4980690.Finally, GCF of Fractions for 67/559, 3402/8910 is 1/4980690.