GCD of 501, 549, 402, 942 Calculator

Given Input numbers are 501, 549, 402, 942

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 549 :

The positive integer divisors of 549 that completely divides 549 are.

1, 3, 9, 61, 183, 549

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

GCD of numbers is the greatest common divisor

So, the GCD (501, 549, 402, 942) = 3.

Given numbers are 501, 549, 402, 942

The list of prime factors of all numbers are

Prime factors of 501 are 3 x 167

Prime factors of 549 are 3 x 3 x 61

Prime factors of 402 are 2 x 3 x 67

Prime factors of 942 are 2 x 3 x 157

The highest common occurrence is 3¹

Therefore, GCD of 501, 549, 402, 942 is 3.

Given numbers are 501, 549, 402, 942

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

Apply this formula for all numbers.

Step1:

LCM(501, 549) = 91683

GCD(501, 549) = ( 501 x 549 ) / 91683

= 501 / 549

= 501

Step2:

LCM(3, 402) = 402

GCD(3, 402) = ( 3 x 402 ) / 402

= 3 / 402

= 3

Step3:

LCM(3, 942) = 942

GCD(3, 942) = ( 3 x 942 ) / 942

= 3 / 942

= 3

So, Greatest Common Divisor of 501, 549, 402, 942 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 512, 874, 987, 738
• GCD of 630, 600, 684, 843
• GCD of 880, 910, 856, 342
• GCD of 913, 675, 379, 576
• GCD of 686, 667, 629, 947

Given numbers are 501, 549, 402, 942
The greatest common divisor of numbers 501, 549, 402, 942 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 501, 549, 402, 942 is 3.

1. What is the GCD of 501, 549, 402, 942?

GCD of given numbers 501, 549, 402, 942 is 3

2. How to calculate the greatest common divisor of 501, 549, 402, 942?

We can find the highest common divisor of 501, 549, 402, 942 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, 549, 402, 942 i.e 3.

3. How can I use the GCD of 501, 549, 402, 942Calculator?

Out the numbers 501, 549, 402, 942 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.