Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 429/20,465/4687
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 429,465
Greatest Common Factor of Numerators i.e. GCF of 429,465 is 3 .
LCM of Denominators means LCM of 20,4687 as per the given fractions.
LCM of 20,4687 is 93740 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 429,465
3 | 429, 465 |
143, 155 |
∴ 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 465
List of positive integer factors of 465 that divides 465 without a remainder.
1,3,5,15,31,93,155,465
Greatest Common Factor
We found the factors 429,465 . The biggest common factor number is the GCF number.
So the greatest common factor 429,465 is 3.
Lets's calculate LCM of 20,4687
Given numbers has no common factors except 1. So, there LCM is their product i.e 93740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/93740
Therefore, the GCF of Fractions 429/20,465/4687 is 3/93740
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 20,4687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,4687) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(20,4687) x common factors =1 x 1 = 1
LCM(20,4687) = ( 20 × 4687 ) / 1
LCM(20,4687) = 93740 / 1
LCM(20,4687) = 93740
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 429/20, 465/4687?
Answer: GCF of Numerators as per given numbers 429/20, 465/4687 is
GCF of Numerators i.e. for 429,465 is 3
LCM of denominators i.e. for 20,4687 is 93740.
Thus, GCF of Fractions is 3/93740.Finally, GCF of Fractions for 429/20, 465/4687 is 3/93740.