GCD of 704, 126, 192, 698 Calculator

Given Input numbers are 704, 126, 192, 698

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

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 192 :

The positive integer divisors of 192 that completely divides 192 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 698 :

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

1, 2, 349, 698

GCD of numbers is the greatest common divisor

So, the GCD (704, 126, 192, 698) = 2.

Given numbers are 704, 126, 192, 698

The list of prime factors of all numbers are

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 698 are 2 x 349

The highest common occurrence is 2¹

Therefore, GCD of 704, 126, 192, 698 is 2.

Given numbers are 704, 126, 192, 698

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

Apply this formula for all numbers.

Step1:

LCM(704, 126) = 44352

GCD(704, 126) = ( 704 x 126 ) / 44352

= 704 / 126

= 704

Step2:

LCM(2, 192) = 192

GCD(2, 192) = ( 2 x 192 ) / 192

= 2 / 192

= 2

Step3:

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

= 2 / 698

= 2

So, Greatest Common Divisor of 704, 126, 192, 698 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 239, 428, 602, 928
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Given numbers are 704, 126, 192, 698
The greatest common divisor of numbers 704, 126, 192, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 126, 192, 698 is 2.

1. What is the GCD of 704, 126, 192, 698?

GCD of given numbers 704, 126, 192, 698 is 2

2. How to calculate the greatest common divisor of 704, 126, 192, 698?

We can find the highest common divisor of 704, 126, 192, 698 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 704, 126, 192, 698 i.e 2.

3. How can I use the GCD of 704, 126, 192, 698Calculator?

Out the numbers 704, 126, 192, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.