GCD of 625, 735, 506, 471 Calculator

Given Input numbers are 625, 735, 506, 471

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

Divisors of 625 :

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

1, 5, 25, 125, 625

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

GCD of numbers is the greatest common divisor

So, the GCD (625, 735, 506, 471) = 1.

Given numbers are 625, 735, 506, 471

The list of prime factors of all numbers are

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

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 506 are 2 x 11 x 23

Prime factors of 471 are 3 x 157

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

Given numbers are 625, 735, 506, 471

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

Apply this formula for all numbers.

Step1:

LCM(625, 735) = 91875

GCD(625, 735) = ( 625 x 735 ) / 91875

= 625 / 735

= 625

Step2:

LCM(5, 506) = 2530

GCD(5, 506) = ( 5 x 506 ) / 2530

= 5 / 506

= 5

Step3:

LCM(1, 471) = 471

GCD(1, 471) = ( 1 x 471 ) / 471

= 1 / 471

= 1

So, Greatest Common Divisor of 625, 735, 506, 471 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 986, 720, 522, 790
• GCD of 108, 339, 851, 320
• GCD of 921, 849, 697, 570
• GCD of 453, 596, 104, 460
• GCD of 145, 458, 168, 854

Given numbers are 625, 735, 506, 471
The greatest common divisor of numbers 625, 735, 506, 471 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 625, 735, 506, 471 is 1.

1. What is the GCD of 625, 735, 506, 471?

GCD of given numbers 625, 735, 506, 471 is 1

2. How to calculate the greatest common divisor of 625, 735, 506, 471?

We can find the highest common divisor of 625, 735, 506, 471 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 625, 735, 506, 471 i.e 1.

3. How can I use the GCD of 625, 735, 506, 471Calculator?

Out the numbers 625, 735, 506, 471 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.