GCD of 736, 336, 504, 614 Calculator

Given Input numbers are 736, 336, 504, 614

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

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

GCD of numbers is the greatest common divisor

So, the GCD (736, 336, 504, 614) = 2.

Given numbers are 736, 336, 504, 614

The list of prime factors of all numbers are

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 614 are 2 x 307

The highest common occurrence is 2¹

Therefore, GCD of 736, 336, 504, 614 is 2.

Given numbers are 736, 336, 504, 614

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

Apply this formula for all numbers.

Step1:

LCM(736, 336) = 15456

GCD(736, 336) = ( 736 x 336 ) / 15456

= 736 / 336

= 736

Step2:

LCM(16, 504) = 1008

GCD(16, 504) = ( 16 x 504 ) / 1008

= 16 / 504

= 16

Step3:

LCM(8, 614) = 2456

GCD(8, 614) = ( 8 x 614 ) / 2456

= 8 / 614

= 8

So, Greatest Common Divisor of 736, 336, 504, 614 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 658, 483, 677, 783
• GCD of 954, 912, 334, 193
• GCD of 711, 461, 561, 138
• GCD of 454, 626, 796, 191
• GCD of 458, 702, 829, 225

Given numbers are 736, 336, 504, 614
The greatest common divisor of numbers 736, 336, 504, 614 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 736, 336, 504, 614 is 2.

1. What is the GCD of 736, 336, 504, 614?

GCD of given numbers 736, 336, 504, 614 is 2

2. How to calculate the greatest common divisor of 736, 336, 504, 614?

We can find the highest common divisor of 736, 336, 504, 614 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 736, 336, 504, 614 i.e 2.

3. How can I use the GCD of 736, 336, 504, 614Calculator?

Out the numbers 736, 336, 504, 614 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.