Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 601/164,7143/824
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 601,7143
Greatest Common Factor of Numerators i.e. GCF of 601,7143 is 1 .
LCM of Denominators means LCM of 164,824 as per the given fractions.
LCM of 164,824 is 33784 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 601,7143
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 601
List of positive integer factors of 601 that divides 601 without a remainder.
1,601
Factors of 7143
List of positive integer factors of 7143 that divides 7143 without a remainder.
1,3,2381,7143
Greatest Common Factor
We found the factors 601,7143 . The biggest common factor number is the GCF number.
So the greatest common factor 601,7143 is 1.
Lets's calculate LCM of 164,824
2 | 164, 824 |
2 | 82, 412 |
41, 206 |
∴ So the LCM of the given numbers is 2 x 2 x 41 x 206 = 33784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33784
Therefore, the GCF of Fractions 601/164,7143/824 is 1/33784
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 164,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,824) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(164,824) x common factors =4 x 1 = 4
LCM(164,824) = ( 164 × 824 ) / 4
LCM(164,824) = 135136 / 4
LCM(164,824) = 33784
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 601/164, 7143/824?
Answer: GCF of Numerators as per given numbers 601/164, 7143/824 is
GCF of Numerators i.e. for 601,7143 is 1
LCM of denominators i.e. for 164,824 is 33784.
Thus, GCF of Fractions is 1/33784.Finally, GCF of Fractions for 601/164, 7143/824 is 1/33784.