GCD of 472, 731, 698, 916 Calculator

Given Input numbers are 472, 731, 698, 916

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 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 698 :

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

1, 2, 349, 698

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (472, 731, 698, 916) = 1.

Given numbers are 472, 731, 698, 916

The list of prime factors of all numbers are

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

Prime factors of 731 are 17 x 43

Prime factors of 698 are 2 x 349

Prime factors of 916 are 2 x 2 x 229

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

Given numbers are 472, 731, 698, 916

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

Apply this formula for all numbers.

Step1:

LCM(472, 731) = 345032

GCD(472, 731) = ( 472 x 731 ) / 345032

= 472 / 731

= 472

Step2:

LCM(1, 698) = 698

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

= 1 / 698

= 1

Step3:

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

= 1 / 916

= 1

So, Greatest Common Divisor of 472, 731, 698, 916 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 694, 759, 903, 527
• GCD of 509, 599, 190, 660
• GCD of 934, 242, 179, 694
• GCD of 724, 491, 812, 566
• GCD of 863, 525, 289, 179

Given numbers are 472, 731, 698, 916
The greatest common divisor of numbers 472, 731, 698, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 731, 698, 916 is 1.

1. What is the GCD of 472, 731, 698, 916?

GCD of given numbers 472, 731, 698, 916 is 1

2. How to calculate the greatest common divisor of 472, 731, 698, 916?

We can find the highest common divisor of 472, 731, 698, 916 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, 731, 698, 916 i.e 1.

3. How can I use the GCD of 472, 731, 698, 916Calculator?

Out the numbers 472, 731, 698, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.