GCD of 736, 584, 705, 357 Calculator

Given Input numbers are 736, 584, 705, 357

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 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

GCD of numbers is the greatest common divisor

So, the GCD (736, 584, 705, 357) = 1.

Given numbers are 736, 584, 705, 357

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 584 are 2 x 2 x 2 x 73

Prime factors of 705 are 3 x 5 x 47

Prime factors of 357 are 3 x 7 x 17

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

Given numbers are 736, 584, 705, 357

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

Apply this formula for all numbers.

Step1:

LCM(736, 584) = 53728

GCD(736, 584) = ( 736 x 584 ) / 53728

= 736 / 584

= 736

Step2:

LCM(8, 705) = 5640

GCD(8, 705) = ( 8 x 705 ) / 5640

= 8 / 705

= 8

Step3:

LCM(1, 357) = 357

GCD(1, 357) = ( 1 x 357 ) / 357

= 1 / 357

= 1

So, Greatest Common Divisor of 736, 584, 705, 357 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 673, 352, 542, 600
• GCD of 725, 191, 215, 419
• GCD of 297, 635, 485, 433
• GCD of 475, 148, 482, 206
• GCD of 168, 835, 647, 574

Given numbers are 736, 584, 705, 357
The greatest common divisor of numbers 736, 584, 705, 357 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 736, 584, 705, 357 is 1.

1. What is the GCD of 736, 584, 705, 357?

GCD of given numbers 736, 584, 705, 357 is 1

2. How to calculate the greatest common divisor of 736, 584, 705, 357?

We can find the highest common divisor of 736, 584, 705, 357 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, 584, 705, 357 i.e 1.

3. How can I use the GCD of 736, 584, 705, 357Calculator?

Out the numbers 736, 584, 705, 357 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.