Online GCD Calculator is useful to find the GCD of 738, 402, 525 quickly. Get the easiest ways to solve the greatest common divisor of 738, 402, 525 i.e 3 in different methods as follows.
Given Input numbers are 738, 402, 525
In the factoring method, we have to find the divisors of all numbers
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 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 525 :
The positive integer divisors of 525 that completely divides 525 are.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
GCD of numbers is the greatest common divisor
So, the GCD (738, 402, 525) = 3.
Given numbers are 738, 402, 525
The list of prime factors of all numbers are
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 402 are 2 x 3 x 67
Prime factors of 525 are 3 x 5 x 5 x 7
The highest common occurrence is 31
Therefore, GCD of 738, 402, 525 is 3.
Given numbers are 738, 402, 525
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(738, 402) = 49446
GCD(738, 402) = ( 738 x 402 ) / 49446
= 738 / 402
= 738
Step2:
LCM(6, 525) = 1050
GCD(6, 525) = ( 6 x 525 ) / 1050
= 6 / 525
= 6
So, Greatest Common Divisor of 738, 402, 525 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 738, 402, 525
The greatest common divisor of numbers 738, 402, 525 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 402, 525 is 3.
1. What is the GCD of 738, 402, 525?
GCD of given numbers 738, 402, 525 is 3
2. How to calculate the greatest common divisor of 738, 402, 525?
We can find the highest common divisor of 738, 402, 525 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 738, 402, 525 i.e 3.
3. How can I use the GCD of 738, 402, 525Calculator?
Out the numbers 738, 402, 525 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.