GCD of 168, 429, 747, 540 Calculator

Given Input numbers are 168, 429, 747, 540

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

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 747 :

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

1, 3, 9, 83, 249, 747

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

GCD of numbers is the greatest common divisor

So, the GCD (168, 429, 747, 540) = 3.

Given numbers are 168, 429, 747, 540

The list of prime factors of all numbers are

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 429 are 3 x 11 x 13

Prime factors of 747 are 3 x 3 x 83

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 168, 429, 747, 540 is 3.

Given numbers are 168, 429, 747, 540

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

Apply this formula for all numbers.

Step1:

LCM(168, 429) = 24024

GCD(168, 429) = ( 168 x 429 ) / 24024

= 168 / 429

= 168

Step2:

LCM(3, 747) = 747

GCD(3, 747) = ( 3 x 747 ) / 747

= 3 / 747

= 3

Step3:

LCM(3, 540) = 540

GCD(3, 540) = ( 3 x 540 ) / 540

= 3 / 540

= 3

So, Greatest Common Divisor of 168, 429, 747, 540 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 741, 543, 125, 981
• GCD of 141, 923, 334, 257
• GCD of 641, 825, 565, 724
• GCD of 773, 384, 349, 319
• GCD of 547, 499, 149, 278

Given numbers are 168, 429, 747, 540
The greatest common divisor of numbers 168, 429, 747, 540 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 429, 747, 540 is 3.

1. What is the GCD of 168, 429, 747, 540?

GCD of given numbers 168, 429, 747, 540 is 3

2. How to calculate the greatest common divisor of 168, 429, 747, 540?

We can find the highest common divisor of 168, 429, 747, 540 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 168, 429, 747, 540 i.e 3.

3. How can I use the GCD of 168, 429, 747, 540Calculator?

Out the numbers 168, 429, 747, 540 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.