Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 429/408,9382/141
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 429,9382
Greatest Common Factor of Numerators i.e. GCF of 429,9382 is 1 .
LCM of Denominators means LCM of 408,141 as per the given fractions.
LCM of 408,141 is 19176 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 429,9382
∴ So GCF of numbers is 1 because of no common factors present between them.
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 9382
List of positive integer factors of 9382 that divides 9382 without a remainder.
1,2,4691,9382
Greatest Common Factor
We found the factors 429,9382 . The biggest common factor number is the GCF number.
So the greatest common factor 429,9382 is 1.
Lets's calculate LCM of 408,141
3 | 408, 141 |
136, 47 |
∴ So the LCM of the given numbers is 3 x 136 x 47 = 19176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19176
Therefore, the GCF of Fractions 429/408,9382/141 is 1/19176
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 408,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(408,141) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(408,141) x common factors =3 x 1 = 3
LCM(408,141) = ( 408 × 141 ) / 3
LCM(408,141) = 57528 / 3
LCM(408,141) = 19176
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 429/408, 9382/141?
Answer: GCF of Numerators as per given numbers 429/408, 9382/141 is
GCF of Numerators i.e. for 429,9382 is 1
LCM of denominators i.e. for 408,141 is 19176.
Thus, GCF of Fractions is 1/19176.Finally, GCF of Fractions for 429/408, 9382/141 is 1/19176.