GCD of 664, 698, 842, 374 Calculator

Given Input numbers are 664, 698, 842, 374

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

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 698 :

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

1, 2, 349, 698

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

GCD of numbers is the greatest common divisor

So, the GCD (664, 698, 842, 374) = 2.

Given numbers are 664, 698, 842, 374

The list of prime factors of all numbers are

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 698 are 2 x 349

Prime factors of 842 are 2 x 421

Prime factors of 374 are 2 x 11 x 17

The highest common occurrence is 2¹

Therefore, GCD of 664, 698, 842, 374 is 2.

Given numbers are 664, 698, 842, 374

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

Apply this formula for all numbers.

Step1:

LCM(664, 698) = 231736

GCD(664, 698) = ( 664 x 698 ) / 231736

= 664 / 698

= 664

Step2:

LCM(2, 842) = 842

GCD(2, 842) = ( 2 x 842 ) / 842

= 2 / 842

= 2

Step3:

LCM(2, 374) = 374

GCD(2, 374) = ( 2 x 374 ) / 374

= 2 / 374

= 2

So, Greatest Common Divisor of 664, 698, 842, 374 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 408, 389, 501, 154
• GCD of 234, 313, 209, 320
• GCD of 785, 552, 496, 419
• GCD of 965, 485, 664, 149
• GCD of 577, 838, 626, 164

Given numbers are 664, 698, 842, 374
The greatest common divisor of numbers 664, 698, 842, 374 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 664, 698, 842, 374 is 2.

1. What is the GCD of 664, 698, 842, 374?

GCD of given numbers 664, 698, 842, 374 is 2

2. How to calculate the greatest common divisor of 664, 698, 842, 374?

We can find the highest common divisor of 664, 698, 842, 374 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 664, 698, 842, 374 i.e 2.

3. How can I use the GCD of 664, 698, 842, 374Calculator?

Out the numbers 664, 698, 842, 374 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.