GCD of 414, 359, 698, 480 Calculator

Given Input numbers are 414, 359, 698, 480

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

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 359 :

The positive integer divisors of 359 that completely divides 359 are.

1, 359

Divisors of 698 :

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

1, 2, 349, 698

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

GCD of numbers is the greatest common divisor

So, the GCD (414, 359, 698, 480) = 1.

Given numbers are 414, 359, 698, 480

The list of prime factors of all numbers are

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 359 are 359

Prime factors of 698 are 2 x 349

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Given numbers are 414, 359, 698, 480

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

Apply this formula for all numbers.

Step1:

LCM(414, 359) = 148626

GCD(414, 359) = ( 414 x 359 ) / 148626

= 414 / 359

= 414

Step2:

LCM(1, 698) = 698

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

= 1 / 698

= 1

Step3:

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

= 1 / 480

= 1

So, Greatest Common Divisor of 414, 359, 698, 480 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 947, 659, 156, 708
• GCD of 282, 113, 284, 280
• GCD of 655, 233, 223, 418
• GCD of 189, 488, 415, 809
• GCD of 924, 246, 191, 235

Given numbers are 414, 359, 698, 480
The greatest common divisor of numbers 414, 359, 698, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 414, 359, 698, 480 is 1.

1. What is the GCD of 414, 359, 698, 480?

GCD of given numbers 414, 359, 698, 480 is 1

2. How to calculate the greatest common divisor of 414, 359, 698, 480?

We can find the highest common divisor of 414, 359, 698, 480 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 414, 359, 698, 480 i.e 1.

3. How can I use the GCD of 414, 359, 698, 480Calculator?

Out the numbers 414, 359, 698, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.