GCD of 840, 492, 747, 564 Calculator

Given Input numbers are 840, 492, 747, 564

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 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

GCD of numbers is the greatest common divisor

So, the GCD (840, 492, 747, 564) = 3.

Given numbers are 840, 492, 747, 564

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 492 are 2 x 2 x 3 x 41

Prime factors of 747 are 3 x 3 x 83

Prime factors of 564 are 2 x 2 x 3 x 47

The highest common occurrence is 3¹

Therefore, GCD of 840, 492, 747, 564 is 3.

Given numbers are 840, 492, 747, 564

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

Apply this formula for all numbers.

Step1:

LCM(840, 492) = 34440

GCD(840, 492) = ( 840 x 492 ) / 34440

= 840 / 492

= 840

Step2:

LCM(12, 747) = 2988

GCD(12, 747) = ( 12 x 747 ) / 2988

= 12 / 747

= 12

Step3:

LCM(3, 564) = 564

GCD(3, 564) = ( 3 x 564 ) / 564

= 3 / 564

= 3

So, Greatest Common Divisor of 840, 492, 747, 564 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 831, 697, 777, 643
• GCD of 656, 433, 239, 318
• GCD of 780, 946, 935, 649
• GCD of 508, 739, 801, 239
• GCD of 309, 512, 548, 944

Given numbers are 840, 492, 747, 564
The greatest common divisor of numbers 840, 492, 747, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 492, 747, 564 is 3.

1. What is the GCD of 840, 492, 747, 564?

GCD of given numbers 840, 492, 747, 564 is 3

2. How to calculate the greatest common divisor of 840, 492, 747, 564?

We can find the highest common divisor of 840, 492, 747, 564 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, 492, 747, 564 i.e 3.

3. How can I use the GCD of 840, 492, 747, 564Calculator?

Out the numbers 840, 492, 747, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.