GCD of 502, 900, 726, 945 Calculator

Given Input numbers are 502, 900, 726, 945

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

Divisors of 502 :

The positive integer divisors of 502 that completely divides 502 are.

1, 2, 251, 502

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

GCD of numbers is the greatest common divisor

So, the GCD (502, 900, 726, 945) = 1.

Given numbers are 502, 900, 726, 945

The list of prime factors of all numbers are

Prime factors of 502 are 2 x 251

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

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

Given numbers are 502, 900, 726, 945

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

Apply this formula for all numbers.

Step1:

LCM(502, 900) = 225900

GCD(502, 900) = ( 502 x 900 ) / 225900

= 502 / 900

= 502

Step2:

LCM(2, 726) = 726

GCD(2, 726) = ( 2 x 726 ) / 726

= 2 / 726

= 2

Step3:

LCM(2, 945) = 1890

GCD(2, 945) = ( 2 x 945 ) / 1890

= 2 / 945

= 2

So, Greatest Common Divisor of 502, 900, 726, 945 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 861, 743, 857, 301
• GCD of 829, 244, 377, 241
• GCD of 939, 259, 825, 536
• GCD of 338, 310, 304, 821
• GCD of 587, 972, 922, 266

Given numbers are 502, 900, 726, 945
The greatest common divisor of numbers 502, 900, 726, 945 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 502, 900, 726, 945 is 1.

1. What is the GCD of 502, 900, 726, 945?

GCD of given numbers 502, 900, 726, 945 is 1

2. How to calculate the greatest common divisor of 502, 900, 726, 945?

We can find the highest common divisor of 502, 900, 726, 945 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 502, 900, 726, 945 i.e 1.

3. How can I use the GCD of 502, 900, 726, 945Calculator?

Out the numbers 502, 900, 726, 945 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.