GCD of 699, 987, 690, 543 Calculator

Given Input numbers are 699, 987, 690, 543

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

Divisors of 699 :

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

1, 3, 233, 699

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 543 :

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

1, 3, 181, 543

GCD of numbers is the greatest common divisor

So, the GCD (699, 987, 690, 543) = 3.

Given numbers are 699, 987, 690, 543

The list of prime factors of all numbers are

Prime factors of 699 are 3 x 233

Prime factors of 987 are 3 x 7 x 47

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 543 are 3 x 181

The highest common occurrence is 3¹

Therefore, GCD of 699, 987, 690, 543 is 3.

Given numbers are 699, 987, 690, 543

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

Apply this formula for all numbers.

Step1:

LCM(699, 987) = 229971

GCD(699, 987) = ( 699 x 987 ) / 229971

= 699 / 987

= 699

Step2:

LCM(3, 690) = 690

GCD(3, 690) = ( 3 x 690 ) / 690

= 3 / 690

= 3

Step3:

LCM(3, 543) = 543

GCD(3, 543) = ( 3 x 543 ) / 543

= 3 / 543

= 3

So, Greatest Common Divisor of 699, 987, 690, 543 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 409, 692, 884, 126
• GCD of 470, 432, 666, 387
• GCD of 813, 417, 387, 821
• GCD of 902, 586, 862, 801
• GCD of 713, 349, 209, 564

Given numbers are 699, 987, 690, 543
The greatest common divisor of numbers 699, 987, 690, 543 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 699, 987, 690, 543 is 3.

1. What is the GCD of 699, 987, 690, 543?

GCD of given numbers 699, 987, 690, 543 is 3

2. How to calculate the greatest common divisor of 699, 987, 690, 543?

We can find the highest common divisor of 699, 987, 690, 543 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 699, 987, 690, 543 i.e 3.

3. How can I use the GCD of 699, 987, 690, 543Calculator?

Out the numbers 699, 987, 690, 543 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.