GCD of 675, 442, 724, 697 Calculator

Given Input numbers are 675, 442, 724, 697

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

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 697 :

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

1, 17, 41, 697

GCD of numbers is the greatest common divisor

So, the GCD (675, 442, 724, 697) = 1.

Given numbers are 675, 442, 724, 697

The list of prime factors of all numbers are

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 442 are 2 x 13 x 17

Prime factors of 724 are 2 x 2 x 181

Prime factors of 697 are 17 x 41

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

Given numbers are 675, 442, 724, 697

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

Apply this formula for all numbers.

Step1:

LCM(675, 442) = 298350

GCD(675, 442) = ( 675 x 442 ) / 298350

= 675 / 442

= 675

Step2:

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

= 1 / 724

= 1

Step3:

LCM(1, 697) = 697

GCD(1, 697) = ( 1 x 697 ) / 697

= 1 / 697

= 1

So, Greatest Common Divisor of 675, 442, 724, 697 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 826, 904, 756, 195
• GCD of 419, 393, 480, 540
• GCD of 648, 510, 959, 524
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• GCD of 848, 856, 636, 419

Given numbers are 675, 442, 724, 697
The greatest common divisor of numbers 675, 442, 724, 697 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 442, 724, 697 is 1.

1. What is the GCD of 675, 442, 724, 697?

GCD of given numbers 675, 442, 724, 697 is 1

2. How to calculate the greatest common divisor of 675, 442, 724, 697?

We can find the highest common divisor of 675, 442, 724, 697 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 675, 442, 724, 697 i.e 1.

3. How can I use the GCD of 675, 442, 724, 697Calculator?

Out the numbers 675, 442, 724, 697 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.