Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 576/73,762/561
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 576,762
Greatest Common Factor of Numerators i.e. GCF of 576,762 is 6 .
LCM of Denominators means LCM of 73,561 as per the given fractions.
LCM of 73,561 is 40953 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 576,762
2 | 576, 762 |
3 | 288, 381 |
96, 127 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 576
List of positive integer factors of 576 that divides 576 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576
Factors of 762
List of positive integer factors of 762 that divides 762 without a remainder.
1,2,3,6,127,254,381,762
Greatest Common Factor
We found the factors 576,762 . The biggest common factor number is the GCF number.
So the greatest common factor 576,762 is 6.
Lets's calculate LCM of 73,561
Given numbers has no common factors except 1. So, there LCM is their product i.e 40953
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/40953
Therefore, the GCF of Fractions 576/73,762/561 is 6/40953
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 73,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,561) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,561) x common factors =1 x 1 = 1
LCM(73,561) = ( 73 × 561 ) / 1
LCM(73,561) = 40953 / 1
LCM(73,561) = 40953
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 576/73, 762/561?
Answer: GCF of Numerators as per given numbers 576/73, 762/561 is
GCF of Numerators i.e. for 576,762 is 6
LCM of denominators i.e. for 73,561 is 40953.
Thus, GCF of Fractions is 6/40953.Finally, GCF of Fractions for 576/73, 762/561 is 6/40953.