GCD of 355, 749, 746, 516 Calculator

Given Input numbers are 355, 749, 746, 516

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

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

GCD of numbers is the greatest common divisor

So, the GCD (355, 749, 746, 516) = 1.

Given numbers are 355, 749, 746, 516

The list of prime factors of all numbers are

Prime factors of 355 are 5 x 71

Prime factors of 749 are 7 x 107

Prime factors of 746 are 2 x 373

Prime factors of 516 are 2 x 2 x 3 x 43

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

Given numbers are 355, 749, 746, 516

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

Apply this formula for all numbers.

Step1:

LCM(355, 749) = 265895

GCD(355, 749) = ( 355 x 749 ) / 265895

= 355 / 749

= 355

Step2:

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

= 1 / 746

= 1

Step3:

LCM(1, 516) = 516

GCD(1, 516) = ( 1 x 516 ) / 516

= 1 / 516

= 1

So, Greatest Common Divisor of 355, 749, 746, 516 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 534, 980, 517, 229
• GCD of 510, 962, 168, 765
• GCD of 421, 182, 280, 374
• GCD of 366, 293, 818, 822
• GCD of 559, 882, 284, 673

Given numbers are 355, 749, 746, 516
The greatest common divisor of numbers 355, 749, 746, 516 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 355, 749, 746, 516 is 1.

1. What is the GCD of 355, 749, 746, 516?

GCD of given numbers 355, 749, 746, 516 is 1

2. How to calculate the greatest common divisor of 355, 749, 746, 516?

We can find the highest common divisor of 355, 749, 746, 516 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 355, 749, 746, 516 i.e 1.

3. How can I use the GCD of 355, 749, 746, 516Calculator?

Out the numbers 355, 749, 746, 516 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.