GCD of 357, 760, 820, 689 Calculator

Given Input numbers are 357, 760, 820, 689

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

Divisors of 357 :

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

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

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (357, 760, 820, 689) = 1.

Given numbers are 357, 760, 820, 689

The list of prime factors of all numbers are

Prime factors of 357 are 3 x 7 x 17

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 689 are 13 x 53

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

Given numbers are 357, 760, 820, 689

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

Apply this formula for all numbers.

Step1:

LCM(357, 760) = 271320

GCD(357, 760) = ( 357 x 760 ) / 271320

= 357 / 760

= 357

Step2:

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

= 1 / 820

= 1

Step3:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1

So, Greatest Common Divisor of 357, 760, 820, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 965, 573, 624, 868
• GCD of 747, 901, 485, 381
• GCD of 121, 546, 911, 618
• GCD of 413, 973, 537, 276
• GCD of 448, 232, 592, 687

Given numbers are 357, 760, 820, 689
The greatest common divisor of numbers 357, 760, 820, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 760, 820, 689 is 1.

1. What is the GCD of 357, 760, 820, 689?

GCD of given numbers 357, 760, 820, 689 is 1

2. How to calculate the greatest common divisor of 357, 760, 820, 689?

We can find the highest common divisor of 357, 760, 820, 689 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 357, 760, 820, 689 i.e 1.

3. How can I use the GCD of 357, 760, 820, 689Calculator?

Out the numbers 357, 760, 820, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.