Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7169/18,5792/754
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 7169,5792
Greatest Common Factor of Numerators i.e. GCF of 7169,5792 is 1 .
LCM of Denominators means LCM of 18,754 as per the given fractions.
LCM of 18,754 is 6786 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7169,5792
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7169
List of positive integer factors of 7169 that divides 7169 without a remainder.
1,67,107,7169
Factors of 5792
List of positive integer factors of 5792 that divides 5792 without a remainder.
1,2,4,8,16,32,181,362,724,1448,2896,5792
Greatest Common Factor
We found the factors 7169,5792 . The biggest common factor number is the GCF number.
So the greatest common factor 7169,5792 is 1.
Lets's calculate LCM of 18,754
2 | 18, 754 |
9, 377 |
∴ So the LCM of the given numbers is 2 x 9 x 377 = 6786
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6786
Therefore, the GCF of Fractions 7169/18,5792/754 is 1/6786
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 18,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,754) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(18,754) x common factors =2 x 1 = 2
LCM(18,754) = ( 18 × 754 ) / 2
LCM(18,754) = 13572 / 2
LCM(18,754) = 6786
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 7169/18, 5792/754?
Answer: GCF of Numerators as per given numbers 7169/18, 5792/754 is
GCF of Numerators i.e. for 7169,5792 is 1
LCM of denominators i.e. for 18,754 is 6786.
Thus, GCF of Fractions is 1/6786.Finally, GCF of Fractions for 7169/18, 5792/754 is 1/6786.