GCD of 524, 972, 69, 698 Calculator

Given Input numbers are 524, 972, 69, 698

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

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 69 :

The positive integer divisors of 69 that completely divides 69 are.

1, 3, 23, 69

Divisors of 698 :

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

1, 2, 349, 698

GCD of numbers is the greatest common divisor

So, the GCD (524, 972, 69, 698) = 1.

Given numbers are 524, 972, 69, 698

The list of prime factors of all numbers are

Prime factors of 524 are 2 x 2 x 131

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 69 are 3 x 23

Prime factors of 698 are 2 x 349

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

Given numbers are 524, 972, 69, 698

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

Apply this formula for all numbers.

Step1:

LCM(524, 972) = 127332

GCD(524, 972) = ( 524 x 972 ) / 127332

= 524 / 972

= 524

Step2:

LCM(4, 69) = 276

GCD(4, 69) = ( 4 x 69 ) / 276

= 4 / 69

= 4

Step3:

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

= 1 / 698

= 1

So, Greatest Common Divisor of 524, 972, 69, 698 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 703, 704, 10, 220
• GCD of 717, 586, 85, 775
• GCD of 818, 284, 12, 250
• GCD of 574, 242, 22, 687
• GCD of 338, 376, 78, 845

Given numbers are 524, 972, 69, 698
The greatest common divisor of numbers 524, 972, 69, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 524, 972, 69, 698 is 1.

1. What is the GCD of 524, 972, 69, 698?

GCD of given numbers 524, 972, 69, 698 is 1

2. How to calculate the greatest common divisor of 524, 972, 69, 698?

We can find the highest common divisor of 524, 972, 69, 698 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 524, 972, 69, 698 i.e 1.

3. How can I use the GCD of 524, 972, 69, 698Calculator?

Out the numbers 524, 972, 69, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.