GCD of 840, 600, 120, 549 Calculator

Given Input numbers are 840, 600, 120, 549

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 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

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 549 :

The positive integer divisors of 549 that completely divides 549 are.

1, 3, 9, 61, 183, 549

GCD of numbers is the greatest common divisor

So, the GCD (840, 600, 120, 549) = 3.

Given numbers are 840, 600, 120, 549

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 600 are 2 x 2 x 2 x 3 x 5 x 5

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

Prime factors of 549 are 3 x 3 x 61

The highest common occurrence is 3¹

Therefore, GCD of 840, 600, 120, 549 is 3.

Given numbers are 840, 600, 120, 549

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

Apply this formula for all numbers.

Step1:

LCM(840, 600) = 4200

GCD(840, 600) = ( 840 x 600 ) / 4200

= 840 / 600

= 840

Step2:

LCM(120, 120) = 120

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

= 120 / 120

= 120

Step3:

LCM(120, 549) = 21960

GCD(120, 549) = ( 120 x 549 ) / 21960

= 120 / 549

= 120

So, Greatest Common Divisor of 840, 600, 120, 549 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 644, 799, 787, 521
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Given numbers are 840, 600, 120, 549
The greatest common divisor of numbers 840, 600, 120, 549 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 600, 120, 549 is 3.

1. What is the GCD of 840, 600, 120, 549?

GCD of given numbers 840, 600, 120, 549 is 3

2. How to calculate the greatest common divisor of 840, 600, 120, 549?

We can find the highest common divisor of 840, 600, 120, 549 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, 600, 120, 549 i.e 3.

3. How can I use the GCD of 840, 600, 120, 549Calculator?

Out the numbers 840, 600, 120, 549 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.