GCD of 720, 543, 429, 147 Calculator

Given Input numbers are 720, 543, 429, 147

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

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 543 :

The positive integer divisors of 543 that completely divides 543 are.

1, 3, 181, 543

Divisors of 429 :

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

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

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

GCD of numbers is the greatest common divisor

So, the GCD (720, 543, 429, 147) = 3.

Given numbers are 720, 543, 429, 147

The list of prime factors of all numbers are

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 543 are 3 x 181

Prime factors of 429 are 3 x 11 x 13

Prime factors of 147 are 3 x 7 x 7

The highest common occurrence is 3¹

Therefore, GCD of 720, 543, 429, 147 is 3.

Given numbers are 720, 543, 429, 147

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

Apply this formula for all numbers.

Step1:

LCM(720, 543) = 130320

GCD(720, 543) = ( 720 x 543 ) / 130320

= 720 / 543

= 720

Step2:

LCM(3, 429) = 429

GCD(3, 429) = ( 3 x 429 ) / 429

= 3 / 429

= 3

Step3:

LCM(3, 147) = 147

GCD(3, 147) = ( 3 x 147 ) / 147

= 3 / 147

= 3

So, Greatest Common Divisor of 720, 543, 429, 147 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 143, 922, 569, 280
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• GCD of 405, 220, 685, 122
• GCD of 749, 739, 118, 188
• GCD of 538, 176, 398, 678

Given numbers are 720, 543, 429, 147
The greatest common divisor of numbers 720, 543, 429, 147 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 543, 429, 147 is 3.

1. What is the GCD of 720, 543, 429, 147?

GCD of given numbers 720, 543, 429, 147 is 3

2. How to calculate the greatest common divisor of 720, 543, 429, 147?

We can find the highest common divisor of 720, 543, 429, 147 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 720, 543, 429, 147 i.e 3.

3. How can I use the GCD of 720, 543, 429, 147Calculator?

Out the numbers 720, 543, 429, 147 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.