GCD of 840, 981, 432, 828 Calculator

Given Input numbers are 840, 981, 432, 828

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 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (840, 981, 432, 828) = 3.

Given numbers are 840, 981, 432, 828

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 981 are 3 x 3 x 109

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

The highest common occurrence is 3¹

Therefore, GCD of 840, 981, 432, 828 is 3.

Given numbers are 840, 981, 432, 828

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

Apply this formula for all numbers.

Step1:

LCM(840, 981) = 274680

GCD(840, 981) = ( 840 x 981 ) / 274680

= 840 / 981

= 840

Step2:

LCM(3, 432) = 432

GCD(3, 432) = ( 3 x 432 ) / 432

= 3 / 432

= 3

Step3:

LCM(3, 828) = 828

GCD(3, 828) = ( 3 x 828 ) / 828

= 3 / 828

= 3

So, Greatest Common Divisor of 840, 981, 432, 828 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 122, 963, 648, 985
• GCD of 975, 392, 226, 209
• GCD of 591, 433, 542, 905
• GCD of 719, 415, 568, 293
• GCD of 497, 407, 703, 118

Given numbers are 840, 981, 432, 828
The greatest common divisor of numbers 840, 981, 432, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 981, 432, 828 is 3.

1. What is the GCD of 840, 981, 432, 828?

GCD of given numbers 840, 981, 432, 828 is 3

2. How to calculate the greatest common divisor of 840, 981, 432, 828?

We can find the highest common divisor of 840, 981, 432, 828 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, 981, 432, 828 i.e 3.

3. How can I use the GCD of 840, 981, 432, 828Calculator?

Out the numbers 840, 981, 432, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.