GCD of 472, 634, 698, 302 Calculator

Given Input numbers are 472, 634, 698, 302

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

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

Divisors of 698 :

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

1, 2, 349, 698

Divisors of 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302

GCD of numbers is the greatest common divisor

So, the GCD (472, 634, 698, 302) = 2.

Given numbers are 472, 634, 698, 302

The list of prime factors of all numbers are

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 634 are 2 x 317

Prime factors of 698 are 2 x 349

Prime factors of 302 are 2 x 151

The highest common occurrence is 2¹

Therefore, GCD of 472, 634, 698, 302 is 2.

Given numbers are 472, 634, 698, 302

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

Apply this formula for all numbers.

Step1:

LCM(472, 634) = 149624

GCD(472, 634) = ( 472 x 634 ) / 149624

= 472 / 634

= 472

Step2:

LCM(2, 698) = 698

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

= 2 / 698

= 2

Step3:

LCM(2, 302) = 302

GCD(2, 302) = ( 2 x 302 ) / 302

= 2 / 302

= 2

So, Greatest Common Divisor of 472, 634, 698, 302 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 644, 147, 509, 590
• GCD of 300, 543, 394, 430
• GCD of 636, 828, 427, 108
• GCD of 810, 237, 230, 350
• GCD of 734, 861, 240, 544

Given numbers are 472, 634, 698, 302
The greatest common divisor of numbers 472, 634, 698, 302 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 634, 698, 302 is 2.

1. What is the GCD of 472, 634, 698, 302?

GCD of given numbers 472, 634, 698, 302 is 2

2. How to calculate the greatest common divisor of 472, 634, 698, 302?

We can find the highest common divisor of 472, 634, 698, 302 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 472, 634, 698, 302 i.e 2.

3. How can I use the GCD of 472, 634, 698, 302Calculator?

Out the numbers 472, 634, 698, 302 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.