GCD of 840, 232, 508, 764 Calculator

Given Input numbers are 840, 232, 508, 764

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 232 :

The positive integer divisors of 232 that completely divides 232 are.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

GCD of numbers is the greatest common divisor

So, the GCD (840, 232, 508, 764) = 4.

Given numbers are 840, 232, 508, 764

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 232 are 2 x 2 x 2 x 29

Prime factors of 508 are 2 x 2 x 127

Prime factors of 764 are 2 x 2 x 191

The highest common occurrence is 2²

Therefore, GCD of 840, 232, 508, 764 is 4.

Given numbers are 840, 232, 508, 764

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

Apply this formula for all numbers.

Step1:

LCM(840, 232) = 24360

GCD(840, 232) = ( 840 x 232 ) / 24360

= 840 / 232

= 840

Step2:

LCM(8, 508) = 1016

GCD(8, 508) = ( 8 x 508 ) / 1016

= 8 / 508

= 8

Step3:

LCM(4, 764) = 764

GCD(4, 764) = ( 4 x 764 ) / 764

= 4 / 764

= 4

So, Greatest Common Divisor of 840, 232, 508, 764 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 932, 752, 428, 247
• GCD of 996, 915, 859, 204
• GCD of 839, 127, 270, 913
• GCD of 310, 918, 987, 402
• GCD of 399, 985, 163, 873

Given numbers are 840, 232, 508, 764
The greatest common divisor of numbers 840, 232, 508, 764 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 232, 508, 764 is 4.

1. What is the GCD of 840, 232, 508, 764?

GCD of given numbers 840, 232, 508, 764 is 4

2. How to calculate the greatest common divisor of 840, 232, 508, 764?

We can find the highest common divisor of 840, 232, 508, 764 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, 232, 508, 764 i.e 4.

3. How can I use the GCD of 840, 232, 508, 764Calculator?

Out the numbers 840, 232, 508, 764 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.