GCD of 704, 290, 558, 974 Calculator

Given Input numbers are 704, 290, 558, 974

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 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

GCD of numbers is the greatest common divisor

So, the GCD (704, 290, 558, 974) = 2.

Given numbers are 704, 290, 558, 974

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 290 are 2 x 5 x 29

Prime factors of 558 are 2 x 3 x 3 x 31

Prime factors of 974 are 2 x 487

The highest common occurrence is 2¹

Therefore, GCD of 704, 290, 558, 974 is 2.

Given numbers are 704, 290, 558, 974

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

Apply this formula for all numbers.

Step1:

LCM(704, 290) = 102080

GCD(704, 290) = ( 704 x 290 ) / 102080

= 704 / 290

= 704

Step2:

LCM(2, 558) = 558

GCD(2, 558) = ( 2 x 558 ) / 558

= 2 / 558

= 2

Step3:

LCM(2, 974) = 974

GCD(2, 974) = ( 2 x 974 ) / 974

= 2 / 974

= 2

So, Greatest Common Divisor of 704, 290, 558, 974 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 728, 250, 631, 779
• GCD of 424, 741, 992, 493
• GCD of 250, 661, 201, 906
• GCD of 435, 993, 300, 198
• GCD of 243, 484, 862, 209

Given numbers are 704, 290, 558, 974
The greatest common divisor of numbers 704, 290, 558, 974 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 290, 558, 974 is 2.

1. What is the GCD of 704, 290, 558, 974?

GCD of given numbers 704, 290, 558, 974 is 2

2. How to calculate the greatest common divisor of 704, 290, 558, 974?

We can find the highest common divisor of 704, 290, 558, 974 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, 290, 558, 974 i.e 2.

3. How can I use the GCD of 704, 290, 558, 974Calculator?

Out the numbers 704, 290, 558, 974 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.