GCD of 584, 356, 504, 268 Calculator

Given Input numbers are 584, 356, 504, 268

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 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

GCD of numbers is the greatest common divisor

So, the GCD (584, 356, 504, 268) = 4.

Given numbers are 584, 356, 504, 268

The list of prime factors of all numbers are

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

Prime factors of 356 are 2 x 2 x 89

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 268 are 2 x 2 x 67

The highest common occurrence is 2²

Therefore, GCD of 584, 356, 504, 268 is 4.

Given numbers are 584, 356, 504, 268

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

Apply this formula for all numbers.

Step1:

LCM(584, 356) = 51976

GCD(584, 356) = ( 584 x 356 ) / 51976

= 584 / 356

= 584

Step2:

LCM(4, 504) = 504

GCD(4, 504) = ( 4 x 504 ) / 504

= 4 / 504

= 4

Step3:

LCM(4, 268) = 268

GCD(4, 268) = ( 4 x 268 ) / 268

= 4 / 268

= 4

So, Greatest Common Divisor of 584, 356, 504, 268 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 346, 110, 476, 611
• GCD of 847, 927, 548, 817
• GCD of 435, 137, 669, 436
• GCD of 988, 489, 213, 502
• GCD of 964, 696, 401, 438

Given numbers are 584, 356, 504, 268
The greatest common divisor of numbers 584, 356, 504, 268 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 356, 504, 268 is 4.

1. What is the GCD of 584, 356, 504, 268?

GCD of given numbers 584, 356, 504, 268 is 4

2. How to calculate the greatest common divisor of 584, 356, 504, 268?

We can find the highest common divisor of 584, 356, 504, 268 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, 356, 504, 268 i.e 4.

3. How can I use the GCD of 584, 356, 504, 268Calculator?

Out the numbers 584, 356, 504, 268 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.