GCD of 690, 572, 174, 722 Calculator

Given Input numbers are 690, 572, 174, 722

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

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 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

GCD of numbers is the greatest common divisor

So, the GCD (690, 572, 174, 722) = 2.

Given numbers are 690, 572, 174, 722

The list of prime factors of all numbers are

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

Prime factors of 572 are 2 x 2 x 11 x 13

Prime factors of 174 are 2 x 3 x 29

Prime factors of 722 are 2 x 19 x 19

The highest common occurrence is 2¹

Therefore, GCD of 690, 572, 174, 722 is 2.

Given numbers are 690, 572, 174, 722

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

Apply this formula for all numbers.

Step1:

LCM(690, 572) = 197340

GCD(690, 572) = ( 690 x 572 ) / 197340

= 690 / 572

= 690

Step2:

LCM(2, 174) = 174

GCD(2, 174) = ( 2 x 174 ) / 174

= 2 / 174

= 2

Step3:

LCM(2, 722) = 722

GCD(2, 722) = ( 2 x 722 ) / 722

= 2 / 722

= 2

So, Greatest Common Divisor of 690, 572, 174, 722 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 565, 748, 662, 760
• GCD of 288, 234, 414, 357
• GCD of 563, 680, 183, 288
• GCD of 721, 594, 510, 493
• GCD of 267, 831, 400, 109

Given numbers are 690, 572, 174, 722
The greatest common divisor of numbers 690, 572, 174, 722 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 572, 174, 722 is 2.

1. What is the GCD of 690, 572, 174, 722?

GCD of given numbers 690, 572, 174, 722 is 2

2. How to calculate the greatest common divisor of 690, 572, 174, 722?

We can find the highest common divisor of 690, 572, 174, 722 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 690, 572, 174, 722 i.e 2.

3. How can I use the GCD of 690, 572, 174, 722Calculator?

Out the numbers 690, 572, 174, 722 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.