GCD of 698, 174, 164, 102 Calculator

Given Input numbers are 698, 174, 164, 102

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 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

GCD of numbers is the greatest common divisor

So, the GCD (698, 174, 164, 102) = 2.

Given numbers are 698, 174, 164, 102

The list of prime factors of all numbers are

Prime factors of 698 are 2 x 349

Prime factors of 174 are 2 x 3 x 29

Prime factors of 164 are 2 x 2 x 41

Prime factors of 102 are 2 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 698, 174, 164, 102 is 2.

Given numbers are 698, 174, 164, 102

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

Apply this formula for all numbers.

Step1:

LCM(698, 174) = 60726

GCD(698, 174) = ( 698 x 174 ) / 60726

= 698 / 174

= 698

Step2:

LCM(2, 164) = 164

GCD(2, 164) = ( 2 x 164 ) / 164

= 2 / 164

= 2

Step3:

LCM(2, 102) = 102

GCD(2, 102) = ( 2 x 102 ) / 102

= 2 / 102

= 2

So, Greatest Common Divisor of 698, 174, 164, 102 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 950, 834, 403, 664
• GCD of 481, 556, 884, 156
• GCD of 657, 124, 984, 837
• GCD of 629, 356, 307, 117
• GCD of 110, 799, 172, 945

Given numbers are 698, 174, 164, 102
The greatest common divisor of numbers 698, 174, 164, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 174, 164, 102 is 2.

1. What is the GCD of 698, 174, 164, 102?

GCD of given numbers 698, 174, 164, 102 is 2

2. How to calculate the greatest common divisor of 698, 174, 164, 102?

We can find the highest common divisor of 698, 174, 164, 102 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, 174, 164, 102 i.e 2.

3. How can I use the GCD of 698, 174, 164, 102Calculator?

Out the numbers 698, 174, 164, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.