GCD of 501, 741, 725, 509 Calculator

Given Input numbers are 501, 741, 725, 509

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

Divisors of 501 :

The positive integer divisors of 501 that completely divides 501 are.

1, 3, 167, 501

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

GCD of numbers is the greatest common divisor

So, the GCD (501, 741, 725, 509) = 1.

Given numbers are 501, 741, 725, 509

The list of prime factors of all numbers are

Prime factors of 501 are 3 x 167

Prime factors of 741 are 3 x 13 x 19

Prime factors of 725 are 5 x 5 x 29

Prime factors of 509 are 509

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

Given numbers are 501, 741, 725, 509

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

Apply this formula for all numbers.

Step1:

LCM(501, 741) = 123747

GCD(501, 741) = ( 501 x 741 ) / 123747

= 501 / 741

= 501

Step2:

LCM(3, 725) = 2175

GCD(3, 725) = ( 3 x 725 ) / 2175

= 3 / 725

= 3

Step3:

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

= 1 / 509

= 1

So, Greatest Common Divisor of 501, 741, 725, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 211, 399, 339, 590
• GCD of 228, 326, 764, 862
• GCD of 486, 106, 637, 224
• GCD of 504, 167, 907, 654
• GCD of 482, 129, 836, 598

Given numbers are 501, 741, 725, 509
The greatest common divisor of numbers 501, 741, 725, 509 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 501, 741, 725, 509 is 1.

1. What is the GCD of 501, 741, 725, 509?

GCD of given numbers 501, 741, 725, 509 is 1

2. How to calculate the greatest common divisor of 501, 741, 725, 509?

We can find the highest common divisor of 501, 741, 725, 509 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 501, 741, 725, 509 i.e 1.

3. How can I use the GCD of 501, 741, 725, 509Calculator?

Out the numbers 501, 741, 725, 509 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.