GCD of 746, 628, 625, 458 Calculator

Given Input numbers are 746, 628, 625, 458

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 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 625 :

The positive integer divisors of 625 that completely divides 625 are.

1, 5, 25, 125, 625

Divisors of 458 :

The positive integer divisors of 458 that completely divides 458 are.

1, 2, 229, 458

GCD of numbers is the greatest common divisor

So, the GCD (746, 628, 625, 458) = 1.

Given numbers are 746, 628, 625, 458

The list of prime factors of all numbers are

Prime factors of 746 are 2 x 373

Prime factors of 628 are 2 x 2 x 157

Prime factors of 625 are 5 x 5 x 5 x 5

Prime factors of 458 are 2 x 229

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

Given numbers are 746, 628, 625, 458

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

Apply this formula for all numbers.

Step1:

LCM(746, 628) = 234244

GCD(746, 628) = ( 746 x 628 ) / 234244

= 746 / 628

= 746

Step2:

LCM(2, 625) = 1250

GCD(2, 625) = ( 2 x 625 ) / 1250

= 2 / 625

= 2

Step3:

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

= 1 / 458

= 1

So, Greatest Common Divisor of 746, 628, 625, 458 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 829, 794, 724, 611
• GCD of 618, 741, 276, 971
• GCD of 471, 495, 463, 876
• GCD of 675, 638, 186, 235
• GCD of 372, 636, 510, 425

Given numbers are 746, 628, 625, 458
The greatest common divisor of numbers 746, 628, 625, 458 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 628, 625, 458 is 1.

1. What is the GCD of 746, 628, 625, 458?

GCD of given numbers 746, 628, 625, 458 is 1

2. How to calculate the greatest common divisor of 746, 628, 625, 458?

We can find the highest common divisor of 746, 628, 625, 458 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, 628, 625, 458 i.e 1.

3. How can I use the GCD of 746, 628, 625, 458Calculator?

Out the numbers 746, 628, 625, 458 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.