GCD of 538, 690, 605, 762 Calculator

Given Input numbers are 538, 690, 605, 762

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

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 605 :

The positive integer divisors of 605 that completely divides 605 are.

1, 5, 11, 55, 121, 605

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

GCD of numbers is the greatest common divisor

So, the GCD (538, 690, 605, 762) = 1.

Given numbers are 538, 690, 605, 762

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 605 are 5 x 11 x 11

Prime factors of 762 are 2 x 3 x 127

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

Given numbers are 538, 690, 605, 762

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

Apply this formula for all numbers.

Step1:

LCM(538, 690) = 185610

GCD(538, 690) = ( 538 x 690 ) / 185610

= 538 / 690

= 538

Step2:

LCM(2, 605) = 1210

GCD(2, 605) = ( 2 x 605 ) / 1210

= 2 / 605

= 2

Step3:

LCM(1, 762) = 762

GCD(1, 762) = ( 1 x 762 ) / 762

= 1 / 762

= 1

So, Greatest Common Divisor of 538, 690, 605, 762 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 428, 596, 766, 261
• GCD of 585, 272, 371, 190
• GCD of 804, 755, 449, 524
• GCD of 576, 542, 971, 135
• GCD of 638, 286, 516, 151

Given numbers are 538, 690, 605, 762
The greatest common divisor of numbers 538, 690, 605, 762 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 690, 605, 762 is 1.

1. What is the GCD of 538, 690, 605, 762?

GCD of given numbers 538, 690, 605, 762 is 1

2. How to calculate the greatest common divisor of 538, 690, 605, 762?

We can find the highest common divisor of 538, 690, 605, 762 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 538, 690, 605, 762 i.e 1.

3. How can I use the GCD of 538, 690, 605, 762Calculator?

Out the numbers 538, 690, 605, 762 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.