GCD of 698, 204, 670, 418 Calculator

Given Input numbers are 698, 204, 670, 418

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

Divisors of 698 :

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

1, 2, 349, 698

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 418 :

The positive integer divisors of 418 that completely divides 418 are.

1, 2, 11, 19, 22, 38, 209, 418

GCD of numbers is the greatest common divisor

So, the GCD (698, 204, 670, 418) = 2.

Given numbers are 698, 204, 670, 418

The list of prime factors of all numbers are

Prime factors of 698 are 2 x 349

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 670 are 2 x 5 x 67

Prime factors of 418 are 2 x 11 x 19

The highest common occurrence is 2¹

Therefore, GCD of 698, 204, 670, 418 is 2.

Given numbers are 698, 204, 670, 418

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

Apply this formula for all numbers.

Step1:

LCM(698, 204) = 71196

GCD(698, 204) = ( 698 x 204 ) / 71196

= 698 / 204

= 698

Step2:

LCM(2, 670) = 670

GCD(2, 670) = ( 2 x 670 ) / 670

= 2 / 670

= 2

Step3:

LCM(2, 418) = 418

GCD(2, 418) = ( 2 x 418 ) / 418

= 2 / 418

= 2

So, Greatest Common Divisor of 698, 204, 670, 418 is 2

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Given numbers are 698, 204, 670, 418
The greatest common divisor of numbers 698, 204, 670, 418 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 204, 670, 418 is 2.

1. What is the GCD of 698, 204, 670, 418?

GCD of given numbers 698, 204, 670, 418 is 2

2. How to calculate the greatest common divisor of 698, 204, 670, 418?

We can find the highest common divisor of 698, 204, 670, 418 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 698, 204, 670, 418 i.e 2.

3. How can I use the GCD of 698, 204, 670, 418Calculator?

Out the numbers 698, 204, 670, 418 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.