GCD of 697, 987, 828, 420 Calculator

Given Input numbers are 697, 987, 828, 420

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

Divisors of 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (697, 987, 828, 420) = 1.

Given numbers are 697, 987, 828, 420

The list of prime factors of all numbers are

Prime factors of 697 are 17 x 41

Prime factors of 987 are 3 x 7 x 47

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

Given numbers are 697, 987, 828, 420

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

Apply this formula for all numbers.

Step1:

LCM(697, 987) = 687939

GCD(697, 987) = ( 697 x 987 ) / 687939

= 697 / 987

= 697

Step2:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 697, 987, 828, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 766, 601, 110, 196
• GCD of 520, 469, 613, 308
• GCD of 144, 111, 213, 556
• GCD of 409, 659, 132, 786
• GCD of 611, 459, 153, 939

Given numbers are 697, 987, 828, 420
The greatest common divisor of numbers 697, 987, 828, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 697, 987, 828, 420 is 1.

1. What is the GCD of 697, 987, 828, 420?

GCD of given numbers 697, 987, 828, 420 is 1

2. How to calculate the greatest common divisor of 697, 987, 828, 420?

We can find the highest common divisor of 697, 987, 828, 420 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 697, 987, 828, 420 i.e 1.

3. How can I use the GCD of 697, 987, 828, 420Calculator?

Out the numbers 697, 987, 828, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.