GCD of 464, 145, 972, 457 Calculator

Given Input numbers are 464, 145, 972, 457

In the factoring method, we have to find the divisors of all numbers

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 145 :

The positive integer divisors of 145 that completely divides 145 are.

1, 5, 29, 145

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 457 :

The positive integer divisors of 457 that completely divides 457 are.

1, 457

GCD of numbers is the greatest common divisor

So, the GCD (464, 145, 972, 457) = 1.

Given numbers are 464, 145, 972, 457

The list of prime factors of all numbers are

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 145 are 5 x 29

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 457 are 457

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 464, 145, 972, 457

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(464, 145) = 2320

GCD(464, 145) = ( 464 x 145 ) / 2320

= 464 / 145

= 464

Step2:

LCM(29, 972) = 28188

GCD(29, 972) = ( 29 x 972 ) / 28188

= 29 / 972

= 29

Step3:

LCM(1, 457) = 457

GCD(1, 457) = ( 1 x 457 ) / 457

= 1 / 457

= 1

So, Greatest Common Divisor of 464, 145, 972, 457 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 837, 575, 679, 602
• GCD of 456, 701, 842, 909
• GCD of 670, 508, 582, 271
• GCD of 603, 995, 107, 398
• GCD of 516, 394, 603, 453

Given numbers are 464, 145, 972, 457
The greatest common divisor of numbers 464, 145, 972, 457 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 464, 145, 972, 457 is 1.

1. What is the GCD of 464, 145, 972, 457?

GCD of given numbers 464, 145, 972, 457 is 1

2. How to calculate the greatest common divisor of 464, 145, 972, 457?

We can find the highest common divisor of 464, 145, 972, 457 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 464, 145, 972, 457 i.e 1.

3. How can I use the GCD of 464, 145, 972, 457Calculator?

Out the numbers 464, 145, 972, 457 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.