GCD of 624, 699, 975, 471 Calculator

Given Input numbers are 624, 699, 975, 471

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

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 471 :

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

1, 3, 157, 471

GCD of numbers is the greatest common divisor

So, the GCD (624, 699, 975, 471) = 3.

Given numbers are 624, 699, 975, 471

The list of prime factors of all numbers are

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 699 are 3 x 233

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 471 are 3 x 157

The highest common occurrence is 3¹

Therefore, GCD of 624, 699, 975, 471 is 3.

Given numbers are 624, 699, 975, 471

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

Apply this formula for all numbers.

Step1:

LCM(624, 699) = 145392

GCD(624, 699) = ( 624 x 699 ) / 145392

= 624 / 699

= 624

Step2:

LCM(3, 975) = 975

GCD(3, 975) = ( 3 x 975 ) / 975

= 3 / 975

= 3

Step3:

LCM(3, 471) = 471

GCD(3, 471) = ( 3 x 471 ) / 471

= 3 / 471

= 3

So, Greatest Common Divisor of 624, 699, 975, 471 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 711, 425, 801, 192
• GCD of 517, 337, 837, 681
• GCD of 989, 567, 560, 674
• GCD of 575, 181, 873, 443
• GCD of 421, 611, 708, 766

Given numbers are 624, 699, 975, 471
The greatest common divisor of numbers 624, 699, 975, 471 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 624, 699, 975, 471 is 3.

1. What is the GCD of 624, 699, 975, 471?

GCD of given numbers 624, 699, 975, 471 is 3

2. How to calculate the greatest common divisor of 624, 699, 975, 471?

We can find the highest common divisor of 624, 699, 975, 471 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 624, 699, 975, 471 i.e 3.

3. How can I use the GCD of 624, 699, 975, 471Calculator?

Out the numbers 624, 699, 975, 471 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.