GCD of 584, 352, 120, 262 Calculator

Given Input numbers are 584, 352, 120, 262

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

Divisors of 584 :

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

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

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 262 :

The positive integer divisors of 262 that completely divides 262 are.

1, 2, 131, 262

GCD of numbers is the greatest common divisor

So, the GCD (584, 352, 120, 262) = 2.

Given numbers are 584, 352, 120, 262

The list of prime factors of all numbers are

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

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 262 are 2 x 131

The highest common occurrence is 2¹

Therefore, GCD of 584, 352, 120, 262 is 2.

Given numbers are 584, 352, 120, 262

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

Apply this formula for all numbers.

Step1:

LCM(584, 352) = 25696

GCD(584, 352) = ( 584 x 352 ) / 25696

= 584 / 352

= 584

Step2:

LCM(8, 120) = 120

GCD(8, 120) = ( 8 x 120 ) / 120

= 8 / 120

= 8

Step3:

LCM(8, 262) = 1048

GCD(8, 262) = ( 8 x 262 ) / 1048

= 8 / 262

= 8

So, Greatest Common Divisor of 584, 352, 120, 262 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 157, 897, 390, 786
• GCD of 334, 879, 943, 631
• GCD of 401, 951, 394, 946
• GCD of 261, 105, 518, 168
• GCD of 819, 330, 608, 750

Given numbers are 584, 352, 120, 262
The greatest common divisor of numbers 584, 352, 120, 262 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 352, 120, 262 is 2.

1. What is the GCD of 584, 352, 120, 262?

GCD of given numbers 584, 352, 120, 262 is 2

2. How to calculate the greatest common divisor of 584, 352, 120, 262?

We can find the highest common divisor of 584, 352, 120, 262 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 584, 352, 120, 262 i.e 2.

3. How can I use the GCD of 584, 352, 120, 262Calculator?

Out the numbers 584, 352, 120, 262 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.