Online GCD Calculator is useful to find the GCD of 142, 924, 595, 649 quickly. Get the easiest ways to solve the greatest common divisor of 142, 924, 595, 649 i.e 1 in different methods as follows.
Given Input numbers are 142, 924, 595, 649
In the factoring method, we have to find the divisors of all numbers
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 924 :
The positive integer divisors of 924 that completely divides 924 are.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 595 :
The positive integer divisors of 595 that completely divides 595 are.
1, 5, 7, 17, 35, 85, 119, 595
Divisors of 649 :
The positive integer divisors of 649 that completely divides 649 are.
1, 11, 59, 649
GCD of numbers is the greatest common divisor
So, the GCD (142, 924, 595, 649) = 1.
Given numbers are 142, 924, 595, 649
The list of prime factors of all numbers are
Prime factors of 142 are 2 x 71
Prime factors of 924 are 2 x 2 x 3 x 7 x 11
Prime factors of 595 are 5 x 7 x 17
Prime factors of 649 are 11 x 59
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 142, 924, 595, 649
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(142, 924) = 65604
GCD(142, 924) = ( 142 x 924 ) / 65604
= 142 / 924
= 142
Step2:
LCM(2, 595) = 1190
GCD(2, 595) = ( 2 x 595 ) / 1190
= 2 / 595
= 2
Step3:
LCM(1, 649) = 649
GCD(1, 649) = ( 1 x 649 ) / 649
= 1 / 649
= 1
So, Greatest Common Divisor of 142, 924, 595, 649 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 142, 924, 595, 649
The greatest common divisor of numbers 142, 924, 595, 649 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 924, 595, 649 is 1.
1. What is the GCD of 142, 924, 595, 649?
GCD of given numbers 142, 924, 595, 649 is 1
2. How to calculate the greatest common divisor of 142, 924, 595, 649?
We can find the highest common divisor of 142, 924, 595, 649 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 142, 924, 595, 649 i.e 1.
3. How can I use the GCD of 142, 924, 595, 649Calculator?
Out the numbers 142, 924, 595, 649 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.