GCD of 654, 729, 435, 987 Calculator

Given Input numbers are 654, 729, 435, 987

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

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

Divisors of 435 :

The positive integer divisors of 435 that completely divides 435 are.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 987 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (654, 729, 435, 987) = 3.

Given numbers are 654, 729, 435, 987

The list of prime factors of all numbers are

Prime factors of 654 are 2 x 3 x 109

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

Prime factors of 435 are 3 x 5 x 29

Prime factors of 987 are 3 x 7 x 47

The highest common occurrence is 3¹

Therefore, GCD of 654, 729, 435, 987 is 3.

Given numbers are 654, 729, 435, 987

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

Apply this formula for all numbers.

Step1:

LCM(654, 729) = 158922

GCD(654, 729) = ( 654 x 729 ) / 158922

= 654 / 729

= 654

Step2:

LCM(3, 435) = 435

GCD(3, 435) = ( 3 x 435 ) / 435

= 3 / 435

= 3

Step3:

LCM(3, 987) = 987

GCD(3, 987) = ( 3 x 987 ) / 987

= 3 / 987

= 3

So, Greatest Common Divisor of 654, 729, 435, 987 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 165, 425, 721, 318
• GCD of 457, 593, 832, 536
• GCD of 234, 267, 834, 164
• GCD of 443, 411, 192, 558
• GCD of 582, 748, 726, 794

Given numbers are 654, 729, 435, 987
The greatest common divisor of numbers 654, 729, 435, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 729, 435, 987 is 3.

1. What is the GCD of 654, 729, 435, 987?

GCD of given numbers 654, 729, 435, 987 is 3

2. How to calculate the greatest common divisor of 654, 729, 435, 987?

We can find the highest common divisor of 654, 729, 435, 987 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 654, 729, 435, 987 i.e 3.

3. How can I use the GCD of 654, 729, 435, 987Calculator?

Out the numbers 654, 729, 435, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.