GCD of 698, 358, 198 Calculator

Given Input numbers are 698, 358, 198

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 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

GCD of numbers is the greatest common divisor

So, the GCD (698, 358, 198) = 2.

Given numbers are 698, 358, 198

The list of prime factors of all numbers are

Prime factors of 698 are 2 x 349

Prime factors of 358 are 2 x 179

Prime factors of 198 are 2 x 3 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 698, 358, 198 is 2.

Given numbers are 698, 358, 198

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

Apply this formula for all numbers.

Step1:

LCM(698, 358) = 124942

GCD(698, 358) = ( 698 x 358 ) / 124942

= 698 / 358

= 698

Step2:

LCM(2, 198) = 198

GCD(2, 198) = ( 2 x 198 ) / 198

= 2 / 198

= 2

So, Greatest Common Divisor of 698, 358, 198 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 564, 252, 707
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• GCD of 808, 808, 134
• GCD of 553, 787, 695
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Given numbers are 698, 358, 198
The greatest common divisor of numbers 698, 358, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 358, 198 is 2.

1. What is the GCD of 698, 358, 198?

GCD of given numbers 698, 358, 198 is 2

2. How to calculate the greatest common divisor of 698, 358, 198?

We can find the highest common divisor of 698, 358, 198 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, 358, 198 i.e 2.

3. How can I use the GCD of 698, 358, 198Calculator?

Out the numbers 698, 358, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.