GCD of 649, 506, 429, 165 Calculator

Given Input numbers are 649, 506, 429, 165

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

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

Divisors of 506 :

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

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

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

GCD of numbers is the greatest common divisor

So, the GCD (649, 506, 429, 165) = 11.

Given numbers are 649, 506, 429, 165

The list of prime factors of all numbers are

Prime factors of 649 are 11 x 59

Prime factors of 506 are 2 x 11 x 23

Prime factors of 429 are 3 x 11 x 13

Prime factors of 165 are 3 x 5 x 11

The highest common occurrence is 11¹

Therefore, GCD of 649, 506, 429, 165 is 11.

Given numbers are 649, 506, 429, 165

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

Apply this formula for all numbers.

Step1:

LCM(649, 506) = 29854

GCD(649, 506) = ( 649 x 506 ) / 29854

= 649 / 506

= 649

Step2:

LCM(11, 429) = 429

GCD(11, 429) = ( 11 x 429 ) / 429

= 11 / 429

= 11

Step3:

LCM(11, 165) = 165

GCD(11, 165) = ( 11 x 165 ) / 165

= 11 / 165

= 11

So, Greatest Common Divisor of 649, 506, 429, 165 is 11

Here are some samples of GCD of Numbers calculations.

• GCD of 455, 642, 501, 626
• GCD of 711, 760, 404, 680
• GCD of 513, 735, 933, 166
• GCD of 954, 901, 568, 839
• GCD of 383, 210, 249, 183

Given numbers are 649, 506, 429, 165
The greatest common divisor of numbers 649, 506, 429, 165 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 649, 506, 429, 165 is 11.

1. What is the GCD of 649, 506, 429, 165?

GCD of given numbers 649, 506, 429, 165 is 11

2. How to calculate the greatest common divisor of 649, 506, 429, 165?

We can find the highest common divisor of 649, 506, 429, 165 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 649, 506, 429, 165 i.e 11.

3. How can I use the GCD of 649, 506, 429, 165Calculator?

Out the numbers 649, 506, 429, 165 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.