GCD of 296, 504, 880, 355 Calculator

Given Input numbers are 296, 504, 880, 355

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

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

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 880 :

The positive integer divisors of 880 that completely divides 880 are.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

GCD of numbers is the greatest common divisor

So, the GCD (296, 504, 880, 355) = 1.

Given numbers are 296, 504, 880, 355

The list of prime factors of all numbers are

Prime factors of 296 are 2 x 2 x 2 x 37

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

Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11

Prime factors of 355 are 5 x 71

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 296, 504, 880, 355

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

Apply this formula for all numbers.

Step1:

LCM(296, 504) = 18648

GCD(296, 504) = ( 296 x 504 ) / 18648

= 296 / 504

= 296

Step2:

LCM(8, 880) = 880

GCD(8, 880) = ( 8 x 880 ) / 880

= 8 / 880

= 8

Step3:

LCM(8, 355) = 2840

GCD(8, 355) = ( 8 x 355 ) / 2840

= 8 / 355

= 8

So, Greatest Common Divisor of 296, 504, 880, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 110, 401, 194, 657
• GCD of 430, 691, 681, 534
• GCD of 416, 464, 764, 476
• GCD of 236, 427, 356, 842
• GCD of 248, 961, 772, 543

Given numbers are 296, 504, 880, 355
The greatest common divisor of numbers 296, 504, 880, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 296, 504, 880, 355 is 1.

1. What is the GCD of 296, 504, 880, 355?

GCD of given numbers 296, 504, 880, 355 is 1

2. How to calculate the greatest common divisor of 296, 504, 880, 355?

We can find the highest common divisor of 296, 504, 880, 355 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 296, 504, 880, 355 i.e 1.

3. How can I use the GCD of 296, 504, 880, 355Calculator?

Out the numbers 296, 504, 880, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.