GCD of 843, 120, 534, 360 Calculator

Given Input numbers are 843, 120, 534, 360

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

Divisors of 843 :

The positive integer divisors of 843 that completely divides 843 are.

1, 3, 281, 843

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 534 :

The positive integer divisors of 534 that completely divides 534 are.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (843, 120, 534, 360) = 3.

Given numbers are 843, 120, 534, 360

The list of prime factors of all numbers are

Prime factors of 843 are 3 x 281

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

Prime factors of 534 are 2 x 3 x 89

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 843, 120, 534, 360 is 3.

Given numbers are 843, 120, 534, 360

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

Apply this formula for all numbers.

Step1:

LCM(843, 120) = 33720

GCD(843, 120) = ( 843 x 120 ) / 33720

= 843 / 120

= 843

Step2:

LCM(3, 534) = 534

GCD(3, 534) = ( 3 x 534 ) / 534

= 3 / 534

= 3

Step3:

LCM(3, 360) = 360

GCD(3, 360) = ( 3 x 360 ) / 360

= 3 / 360

= 3

So, Greatest Common Divisor of 843, 120, 534, 360 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 310, 496, 874, 794
• GCD of 262, 851, 307, 289
• GCD of 932, 303, 648, 323
• GCD of 360, 204, 565, 884
• GCD of 474, 712, 751, 931

Given numbers are 843, 120, 534, 360
The greatest common divisor of numbers 843, 120, 534, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 843, 120, 534, 360 is 3.

1. What is the GCD of 843, 120, 534, 360?

GCD of given numbers 843, 120, 534, 360 is 3

2. How to calculate the greatest common divisor of 843, 120, 534, 360?

We can find the highest common divisor of 843, 120, 534, 360 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 843, 120, 534, 360 i.e 3.

3. How can I use the GCD of 843, 120, 534, 360Calculator?

Out the numbers 843, 120, 534, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.