Online GCD Calculator is useful to find the GCD of 746, 660, 529, 252 quickly. Get the easiest ways to solve the greatest common divisor of 746, 660, 529, 252 i.e 1 in different methods as follows.
Given Input numbers are 746, 660, 529, 252
In the factoring method, we have to find the divisors of all numbers
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 529 :
The positive integer divisors of 529 that completely divides 529 are.
1, 23, 529
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
GCD of numbers is the greatest common divisor
So, the GCD (746, 660, 529, 252) = 1.
Given numbers are 746, 660, 529, 252
The list of prime factors of all numbers are
Prime factors of 746 are 2 x 373
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 529 are 23 x 23
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 746, 660, 529, 252
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(746, 660) = 246180
GCD(746, 660) = ( 746 x 660 ) / 246180
= 746 / 660
= 746
Step2:
LCM(2, 529) = 1058
GCD(2, 529) = ( 2 x 529 ) / 1058
= 2 / 529
= 2
Step3:
LCM(1, 252) = 252
GCD(1, 252) = ( 1 x 252 ) / 252
= 1 / 252
= 1
So, Greatest Common Divisor of 746, 660, 529, 252 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 746, 660, 529, 252
The greatest common divisor of numbers 746, 660, 529, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 660, 529, 252 is 1.
1. What is the GCD of 746, 660, 529, 252?
GCD of given numbers 746, 660, 529, 252 is 1
2. How to calculate the greatest common divisor of 746, 660, 529, 252?
We can find the highest common divisor of 746, 660, 529, 252 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 746, 660, 529, 252 i.e 1.
3. How can I use the GCD of 746, 660, 529, 252Calculator?
Out the numbers 746, 660, 529, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.