GCD of 906, 704, 958, 698 Calculator

Given Input numbers are 906, 704, 958, 698

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

Divisors of 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906

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 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

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 (906, 704, 958, 698) = 2.

Given numbers are 906, 704, 958, 698

The list of prime factors of all numbers are

Prime factors of 906 are 2 x 3 x 151

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

Prime factors of 958 are 2 x 479

Prime factors of 698 are 2 x 349

The highest common occurrence is 2¹

Therefore, GCD of 906, 704, 958, 698 is 2.

Given numbers are 906, 704, 958, 698

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

Apply this formula for all numbers.

Step1:

LCM(906, 704) = 318912

GCD(906, 704) = ( 906 x 704 ) / 318912

= 906 / 704

= 906

Step2:

LCM(2, 958) = 958

GCD(2, 958) = ( 2 x 958 ) / 958

= 2 / 958

= 2

Step3:

LCM(2, 698) = 698

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

= 2 / 698

= 2

So, Greatest Common Divisor of 906, 704, 958, 698 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 266, 727, 996, 467
• GCD of 999, 202, 346, 863
• GCD of 266, 825, 441, 617
• GCD of 665, 675, 352, 534
• GCD of 871, 127, 413, 345

Given numbers are 906, 704, 958, 698
The greatest common divisor of numbers 906, 704, 958, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 906, 704, 958, 698 is 2.

1. What is the GCD of 906, 704, 958, 698?

GCD of given numbers 906, 704, 958, 698 is 2

2. How to calculate the greatest common divisor of 906, 704, 958, 698?

We can find the highest common divisor of 906, 704, 958, 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 906, 704, 958, 698 i.e 2.

3. How can I use the GCD of 906, 704, 958, 698Calculator?

Out the numbers 906, 704, 958, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.