Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2/72,66/72,42/704,462/443
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 2,66,42,462
Greatest Common Factor of Numerators i.e. GCF of 2,66,42,462 is 2 .
LCM of Denominators means LCM of 72,72,704,443 as per the given fractions.
LCM of 72,72,704,443 is 2806848 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2,66,42,462
2 | 2, 66, 42, 462 |
1, 33, 21, 231 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2
List of positive integer factors of 2 that divides 2 without a remainder.
1,2
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 462
List of positive integer factors of 462 that divides 462 without a remainder.
1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Greatest Common Factor
We found the factors 2,66,42,462 . The biggest common factor number is the GCF number.
So the greatest common factor 2,66,42,462 is 2.
Lets's calculate LCM of 72,72,704,443
2 | 72, 72, 704, 443 |
2 | 36, 36, 352, 443 |
2 | 18, 18, 176, 443 |
3 | 9, 9, 88, 443 |
3 | 3, 3, 88, 443 |
1, 1, 88, 443 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 1 x 1 x 88 x 443 = 2806848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2806848
Therefore, the GCF of Fractions 2/72,66/72,42/704,462/443 is 2/2806848
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 72,72,704,443 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,72,704,443) = 1
common factors(in case of two or more numbers have common factors) = 576
GCF(72,72,704,443) x common factors =1 x 576 = 576
LCM(72,72,704,443) = ( 72 × 72 × 704 × 443 ) / 576
LCM(72,72,704,443) = 1616744448 / 576
LCM(72,72,704,443) = 2806848
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 2/72, 66/72, 42/704, 462/443?
Answer: GCF of Numerators as per given numbers 2/72, 66/72, 42/704, 462/443 is
GCF of Numerators i.e. for 2,66,42,462 is 2
LCM of denominators i.e. for 72,72,704,443 is 2806848.
Thus, GCF of Fractions is 2/2806848.Finally, GCF of Fractions for 2/72, 66/72, 42/704, 462/443 is 2/2806848.