Online GCD Calculator is useful to find the GCD of 420, 738, 147 quickly. Get the easiest ways to solve the greatest common divisor of 420, 738, 147 i.e 3 in different methods as follows.
Given Input numbers are 420, 738, 147
In the factoring method, we have to find the divisors of all numbers
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 147 :
The positive integer divisors of 147 that completely divides 147 are.
1, 3, 7, 21, 49, 147
GCD of numbers is the greatest common divisor
So, the GCD (420, 738, 147) = 3.
Given numbers are 420, 738, 147
The list of prime factors of all numbers are
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 147 are 3 x 7 x 7
The highest common occurrence is 31
Therefore, GCD of 420, 738, 147 is 3.
Given numbers are 420, 738, 147
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 738) = 51660
GCD(420, 738) = ( 420 x 738 ) / 51660
= 420 / 738
= 420
Step2:
LCM(6, 147) = 294
GCD(6, 147) = ( 6 x 147 ) / 294
= 6 / 147
= 6
So, Greatest Common Divisor of 420, 738, 147 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 738, 147
The greatest common divisor of numbers 420, 738, 147 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 738, 147 is 3.
1. What is the GCD of 420, 738, 147?
GCD of given numbers 420, 738, 147 is 3
2. How to calculate the greatest common divisor of 420, 738, 147?
We can find the highest common divisor of 420, 738, 147 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 420, 738, 147 i.e 3.
3. How can I use the GCD of 420, 738, 147Calculator?
Out the numbers 420, 738, 147 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.