GCD of 698, 540, 961, 462 Calculator

Given Input numbers are 698, 540, 961, 462

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

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

GCD of numbers is the greatest common divisor

So, the GCD (698, 540, 961, 462) = 1.

Given numbers are 698, 540, 961, 462

The list of prime factors of all numbers are

Prime factors of 698 are 2 x 349

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 961 are 31 x 31

Prime factors of 462 are 2 x 3 x 7 x 11

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

Given numbers are 698, 540, 961, 462

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

Apply this formula for all numbers.

Step1:

LCM(698, 540) = 188460

GCD(698, 540) = ( 698 x 540 ) / 188460

= 698 / 540

= 698

Step2:

LCM(2, 961) = 1922

GCD(2, 961) = ( 2 x 961 ) / 1922

= 2 / 961

= 2

Step3:

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

= 1 / 462

= 1

So, Greatest Common Divisor of 698, 540, 961, 462 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 983, 375, 102, 396
• GCD of 126, 392, 450, 205
• GCD of 430, 587, 639, 217
• GCD of 909, 105, 634, 890
• GCD of 683, 885, 664, 776

Given numbers are 698, 540, 961, 462
The greatest common divisor of numbers 698, 540, 961, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 540, 961, 462 is 1.

1. What is the GCD of 698, 540, 961, 462?

GCD of given numbers 698, 540, 961, 462 is 1

2. How to calculate the greatest common divisor of 698, 540, 961, 462?

We can find the highest common divisor of 698, 540, 961, 462 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 698, 540, 961, 462 i.e 1.

3. How can I use the GCD of 698, 540, 961, 462Calculator?

Out the numbers 698, 540, 961, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.