GCD of 471, 684, 747, 786 Calculator

Given Input numbers are 471, 684, 747, 786

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

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 747 :

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

1, 3, 9, 83, 249, 747

Divisors of 786 :

The positive integer divisors of 786 that completely divides 786 are.

1, 2, 3, 6, 131, 262, 393, 786

GCD of numbers is the greatest common divisor

So, the GCD (471, 684, 747, 786) = 3.

Given numbers are 471, 684, 747, 786

The list of prime factors of all numbers are

Prime factors of 471 are 3 x 157

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 747 are 3 x 3 x 83

Prime factors of 786 are 2 x 3 x 131

The highest common occurrence is 3¹

Therefore, GCD of 471, 684, 747, 786 is 3.

Given numbers are 471, 684, 747, 786

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

Apply this formula for all numbers.

Step1:

LCM(471, 684) = 107388

GCD(471, 684) = ( 471 x 684 ) / 107388

= 471 / 684

= 471

Step2:

LCM(3, 747) = 747

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

= 3 / 747

= 3

Step3:

LCM(3, 786) = 786

GCD(3, 786) = ( 3 x 786 ) / 786

= 3 / 786

= 3

So, Greatest Common Divisor of 471, 684, 747, 786 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 575, 620, 278, 696
• GCD of 973, 236, 532, 616
• GCD of 971, 648, 364, 823
• GCD of 987, 493, 294, 654
• GCD of 681, 865, 963, 490

Given numbers are 471, 684, 747, 786
The greatest common divisor of numbers 471, 684, 747, 786 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 471, 684, 747, 786 is 3.

1. What is the GCD of 471, 684, 747, 786?

GCD of given numbers 471, 684, 747, 786 is 3

2. How to calculate the greatest common divisor of 471, 684, 747, 786?

We can find the highest common divisor of 471, 684, 747, 786 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 471, 684, 747, 786 i.e 3.

3. How can I use the GCD of 471, 684, 747, 786Calculator?

Out the numbers 471, 684, 747, 786 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.