GCD of 752, 407, 625, 420 Calculator

Given Input numbers are 752, 407, 625, 420

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

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 407 :

The positive integer divisors of 407 that completely divides 407 are.

1, 11, 37, 407

Divisors of 625 :

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

1, 5, 25, 125, 625

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (752, 407, 625, 420) = 1.

Given numbers are 752, 407, 625, 420

The list of prime factors of all numbers are

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 407 are 11 x 37

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

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

Given numbers are 752, 407, 625, 420

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

Apply this formula for all numbers.

Step1:

LCM(752, 407) = 306064

GCD(752, 407) = ( 752 x 407 ) / 306064

= 752 / 407

= 752

Step2:

LCM(1, 625) = 625

GCD(1, 625) = ( 1 x 625 ) / 625

= 1 / 625

= 1

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 752, 407, 625, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 580, 417, 307, 979
• GCD of 174, 242, 692, 345
• GCD of 874, 533, 956, 861
• GCD of 760, 259, 116, 656
• GCD of 510, 922, 452, 994

Given numbers are 752, 407, 625, 420
The greatest common divisor of numbers 752, 407, 625, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 407, 625, 420 is 1.

1. What is the GCD of 752, 407, 625, 420?

GCD of given numbers 752, 407, 625, 420 is 1

2. How to calculate the greatest common divisor of 752, 407, 625, 420?

We can find the highest common divisor of 752, 407, 625, 420 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 752, 407, 625, 420 i.e 1.

3. How can I use the GCD of 752, 407, 625, 420Calculator?

Out the numbers 752, 407, 625, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.