Online GCD Calculator is useful to find the GCD of 142, 924, 315, 133 quickly. Get the easiest ways to solve the greatest common divisor of 142, 924, 315, 133 i.e 1 in different methods as follows.
Given Input numbers are 142, 924, 315, 133
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 315 :
The positive integer divisors of 315 that completely divides 315 are.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 133 :
The positive integer divisors of 133 that completely divides 133 are.
1, 7, 19, 133
GCD of numbers is the greatest common divisor
So, the GCD (142, 924, 315, 133) = 1.
Given numbers are 142, 924, 315, 133
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 315 are 3 x 3 x 5 x 7
Prime factors of 133 are 7 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 142, 924, 315, 133
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, 315) = 630
GCD(2, 315) = ( 2 x 315 ) / 630
= 2 / 315
= 2
Step3:
LCM(1, 133) = 133
GCD(1, 133) = ( 1 x 133 ) / 133
= 1 / 133
= 1
So, Greatest Common Divisor of 142, 924, 315, 133 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 142, 924, 315, 133
The greatest common divisor of numbers 142, 924, 315, 133 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 924, 315, 133 is 1.
1. What is the GCD of 142, 924, 315, 133?
GCD of given numbers 142, 924, 315, 133 is 1
2. How to calculate the greatest common divisor of 142, 924, 315, 133?
We can find the highest common divisor of 142, 924, 315, 133 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, 315, 133 i.e 1.
3. How can I use the GCD of 142, 924, 315, 133Calculator?
Out the numbers 142, 924, 315, 133 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.