GCD of 840, 771, 633, 729 Calculator

Given Input numbers are 840, 771, 633, 729

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

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771

Divisors of 633 :

The positive integer divisors of 633 that completely divides 633 are.

1, 3, 211, 633

Divisors of 729 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (840, 771, 633, 729) = 3.

Given numbers are 840, 771, 633, 729

The list of prime factors of all numbers are

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 771 are 3 x 257

Prime factors of 633 are 3 x 211

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

The highest common occurrence is 3¹

Therefore, GCD of 840, 771, 633, 729 is 3.

Given numbers are 840, 771, 633, 729

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

Apply this formula for all numbers.

Step1:

LCM(840, 771) = 215880

GCD(840, 771) = ( 840 x 771 ) / 215880

= 840 / 771

= 840

Step2:

LCM(3, 633) = 633

GCD(3, 633) = ( 3 x 633 ) / 633

= 3 / 633

= 3

Step3:

LCM(3, 729) = 729

GCD(3, 729) = ( 3 x 729 ) / 729

= 3 / 729

= 3

So, Greatest Common Divisor of 840, 771, 633, 729 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 492, 982, 523, 554
• GCD of 485, 274, 127, 433
• GCD of 979, 580, 838, 565
• GCD of 607, 809, 236, 118
• GCD of 557, 929, 705, 999

Given numbers are 840, 771, 633, 729
The greatest common divisor of numbers 840, 771, 633, 729 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 771, 633, 729 is 3.

1. What is the GCD of 840, 771, 633, 729?

GCD of given numbers 840, 771, 633, 729 is 3

2. How to calculate the greatest common divisor of 840, 771, 633, 729?

We can find the highest common divisor of 840, 771, 633, 729 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 840, 771, 633, 729 i.e 3.

3. How can I use the GCD of 840, 771, 633, 729Calculator?

Out the numbers 840, 771, 633, 729 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.