GCD of 746, 606, 698, 432 Calculator

Given Input numbers are 746, 606, 698, 432

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

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 606 :

The positive integer divisors of 606 that completely divides 606 are.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 698 :

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

1, 2, 349, 698

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

GCD of numbers is the greatest common divisor

So, the GCD (746, 606, 698, 432) = 2.

Given numbers are 746, 606, 698, 432

The list of prime factors of all numbers are

Prime factors of 746 are 2 x 373

Prime factors of 606 are 2 x 3 x 101

Prime factors of 698 are 2 x 349

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 746, 606, 698, 432 is 2.

Given numbers are 746, 606, 698, 432

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

Apply this formula for all numbers.

Step1:

LCM(746, 606) = 226038

GCD(746, 606) = ( 746 x 606 ) / 226038

= 746 / 606

= 746

Step2:

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

= 2 / 698

= 2

Step3:

LCM(2, 432) = 432

GCD(2, 432) = ( 2 x 432 ) / 432

= 2 / 432

= 2

So, Greatest Common Divisor of 746, 606, 698, 432 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 324, 791, 315, 711
• GCD of 744, 884, 656, 210
• GCD of 794, 650, 490, 496
• GCD of 517, 285, 152, 617
• GCD of 674, 362, 619, 174

Given numbers are 746, 606, 698, 432
The greatest common divisor of numbers 746, 606, 698, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 606, 698, 432 is 2.

1. What is the GCD of 746, 606, 698, 432?

GCD of given numbers 746, 606, 698, 432 is 2

2. How to calculate the greatest common divisor of 746, 606, 698, 432?

We can find the highest common divisor of 746, 606, 698, 432 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 746, 606, 698, 432 i.e 2.

3. How can I use the GCD of 746, 606, 698, 432Calculator?

Out the numbers 746, 606, 698, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.