GCD of 698, 270, 138, 584 Calculator

Given Input numbers are 698, 270, 138, 584

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 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

GCD of numbers is the greatest common divisor

So, the GCD (698, 270, 138, 584) = 2.

Given numbers are 698, 270, 138, 584

The list of prime factors of all numbers are

Prime factors of 698 are 2 x 349

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 138 are 2 x 3 x 23

Prime factors of 584 are 2 x 2 x 2 x 73

The highest common occurrence is 2¹

Therefore, GCD of 698, 270, 138, 584 is 2.

Given numbers are 698, 270, 138, 584

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

Apply this formula for all numbers.

Step1:

LCM(698, 270) = 94230

GCD(698, 270) = ( 698 x 270 ) / 94230

= 698 / 270

= 698

Step2:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

Step3:

LCM(2, 584) = 584

GCD(2, 584) = ( 2 x 584 ) / 584

= 2 / 584

= 2

So, Greatest Common Divisor of 698, 270, 138, 584 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 743, 258, 704, 536
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Given numbers are 698, 270, 138, 584
The greatest common divisor of numbers 698, 270, 138, 584 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 270, 138, 584 is 2.

1. What is the GCD of 698, 270, 138, 584?

GCD of given numbers 698, 270, 138, 584 is 2

2. How to calculate the greatest common divisor of 698, 270, 138, 584?

We can find the highest common divisor of 698, 270, 138, 584 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, 270, 138, 584 i.e 2.

3. How can I use the GCD of 698, 270, 138, 584Calculator?

Out the numbers 698, 270, 138, 584 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.