Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 429/35,459/2556
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 429,459
Greatest Common Factor of Numerators i.e. GCF of 429,459 is 3 .
LCM of Denominators means LCM of 35,2556 as per the given fractions.
LCM of 35,2556 is 89460 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 429,459
3 | 429, 459 |
143, 153 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 429
List of positive integer factors of 429 that divides 429 without a remainder.
1,3,11,13,33,39,143,429
Factors of 459
List of positive integer factors of 459 that divides 459 without a remainder.
1,3,9,17,27,51,153,459
Greatest Common Factor
We found the factors 429,459 . The biggest common factor number is the GCF number.
So the greatest common factor 429,459 is 3.
Lets's calculate LCM of 35,2556
Given numbers has no common factors except 1. So, there LCM is their product i.e 89460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/89460
Therefore, the GCF of Fractions 429/35,459/2556 is 3/89460
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 35,2556 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,2556) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,2556) x common factors =1 x 1 = 1
LCM(35,2556) = ( 35 × 2556 ) / 1
LCM(35,2556) = 89460 / 1
LCM(35,2556) = 89460
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 429/35, 459/2556?
Answer: GCF of Numerators as per given numbers 429/35, 459/2556 is
GCF of Numerators i.e. for 429,459 is 3
LCM of denominators i.e. for 35,2556 is 89460.
Thus, GCF of Fractions is 3/89460.Finally, GCF of Fractions for 429/35, 459/2556 is 3/89460.