GCD of 502, 646, 552, 742 Calculator

Given Input numbers are 502, 646, 552, 742

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 646 :

The positive integer divisors of 646 that completely divides 646 are.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

GCD of numbers is the greatest common divisor

So, the GCD (502, 646, 552, 742) = 2.

Given numbers are 502, 646, 552, 742

The list of prime factors of all numbers are

Prime factors of 502 are 2 x 251

Prime factors of 646 are 2 x 17 x 19

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 742 are 2 x 7 x 53

The highest common occurrence is 2¹

Therefore, GCD of 502, 646, 552, 742 is 2.

Given numbers are 502, 646, 552, 742

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

Apply this formula for all numbers.

Step1:

LCM(502, 646) = 162146

GCD(502, 646) = ( 502 x 646 ) / 162146

= 502 / 646

= 502

Step2:

LCM(2, 552) = 552

GCD(2, 552) = ( 2 x 552 ) / 552

= 2 / 552

= 2

Step3:

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

= 2 / 742

= 2

So, Greatest Common Divisor of 502, 646, 552, 742 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 603, 824, 660, 462
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Given numbers are 502, 646, 552, 742
The greatest common divisor of numbers 502, 646, 552, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 502, 646, 552, 742 is 2.

1. What is the GCD of 502, 646, 552, 742?

GCD of given numbers 502, 646, 552, 742 is 2

2. How to calculate the greatest common divisor of 502, 646, 552, 742?

We can find the highest common divisor of 502, 646, 552, 742 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, 646, 552, 742 i.e 2.

3. How can I use the GCD of 502, 646, 552, 742Calculator?

Out the numbers 502, 646, 552, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.