GCD of 364, 516, 700, 657 Calculator

Given Input numbers are 364, 516, 700, 657

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 657 :

The positive integer divisors of 657 that completely divides 657 are.

1, 3, 9, 73, 219, 657

GCD of numbers is the greatest common divisor

So, the GCD (364, 516, 700, 657) = 1.

Given numbers are 364, 516, 700, 657

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

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

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 657 are 3 x 3 x 73

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

Given numbers are 364, 516, 700, 657

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

Apply this formula for all numbers.

Step1:

LCM(364, 516) = 46956

GCD(364, 516) = ( 364 x 516 ) / 46956

= 364 / 516

= 364

Step2:

LCM(4, 700) = 700

GCD(4, 700) = ( 4 x 700 ) / 700

= 4 / 700

= 4

Step3:

LCM(4, 657) = 2628

GCD(4, 657) = ( 4 x 657 ) / 2628

= 4 / 657

= 4

So, Greatest Common Divisor of 364, 516, 700, 657 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 476, 240, 562, 965
• GCD of 662, 838, 530, 775
• GCD of 221, 512, 172, 639
• GCD of 430, 166, 409, 663
• GCD of 119, 921, 704, 222

Given numbers are 364, 516, 700, 657
The greatest common divisor of numbers 364, 516, 700, 657 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 516, 700, 657 is 1.

1. What is the GCD of 364, 516, 700, 657?

GCD of given numbers 364, 516, 700, 657 is 1

2. How to calculate the greatest common divisor of 364, 516, 700, 657?

We can find the highest common divisor of 364, 516, 700, 657 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 364, 516, 700, 657 i.e 1.

3. How can I use the GCD of 364, 516, 700, 657Calculator?

Out the numbers 364, 516, 700, 657 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.