GCD of 840, 904, 496, 538 Calculator

Given Input numbers are 840, 904, 496, 538

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

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 904 :

The positive integer divisors of 904 that completely divides 904 are.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

GCD of numbers is the greatest common divisor

So, the GCD (840, 904, 496, 538) = 2.

Given numbers are 840, 904, 496, 538

The list of prime factors of all numbers are

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 904 are 2 x 2 x 2 x 113

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 538 are 2 x 269

The highest common occurrence is 2¹

Therefore, GCD of 840, 904, 496, 538 is 2.

Given numbers are 840, 904, 496, 538

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

Apply this formula for all numbers.

Step1:

LCM(840, 904) = 94920

GCD(840, 904) = ( 840 x 904 ) / 94920

= 840 / 904

= 840

Step2:

LCM(8, 496) = 496

GCD(8, 496) = ( 8 x 496 ) / 496

= 8 / 496

= 8

Step3:

LCM(8, 538) = 2152

GCD(8, 538) = ( 8 x 538 ) / 2152

= 8 / 538

= 8

So, Greatest Common Divisor of 840, 904, 496, 538 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 333, 149, 178, 401
• GCD of 967, 306, 293, 429
• GCD of 394, 489, 920, 554
• GCD of 339, 812, 466, 898
• GCD of 316, 851, 370, 827

Given numbers are 840, 904, 496, 538
The greatest common divisor of numbers 840, 904, 496, 538 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 904, 496, 538 is 2.

1. What is the GCD of 840, 904, 496, 538?

GCD of given numbers 840, 904, 496, 538 is 2

2. How to calculate the greatest common divisor of 840, 904, 496, 538?

We can find the highest common divisor of 840, 904, 496, 538 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 840, 904, 496, 538 i.e 2.

3. How can I use the GCD of 840, 904, 496, 538Calculator?

Out the numbers 840, 904, 496, 538 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.