GCD of 987, 714, 729, 840 Calculator

Given Input numbers are 987, 714, 729, 840

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

Divisors of 987 :

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

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

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 729 :

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

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

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

GCD of numbers is the greatest common divisor

So, the GCD (987, 714, 729, 840) = 3.

Given numbers are 987, 714, 729, 840

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 714 are 2 x 3 x 7 x 17

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

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

The highest common occurrence is 3¹

Therefore, GCD of 987, 714, 729, 840 is 3.

Given numbers are 987, 714, 729, 840

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

Apply this formula for all numbers.

Step1:

LCM(987, 714) = 33558

GCD(987, 714) = ( 987 x 714 ) / 33558

= 987 / 714

= 987

Step2:

LCM(21, 729) = 5103

GCD(21, 729) = ( 21 x 729 ) / 5103

= 21 / 729

= 21

Step3:

LCM(3, 840) = 840

GCD(3, 840) = ( 3 x 840 ) / 840

= 3 / 840

= 3

So, Greatest Common Divisor of 987, 714, 729, 840 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 354, 325, 663, 662
• GCD of 849, 246, 897, 256
• GCD of 220, 714, 110, 926
• GCD of 437, 110, 662, 538
• GCD of 121, 187, 884, 842

Given numbers are 987, 714, 729, 840
The greatest common divisor of numbers 987, 714, 729, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 714, 729, 840 is 3.

1. What is the GCD of 987, 714, 729, 840?

GCD of given numbers 987, 714, 729, 840 is 3

2. How to calculate the greatest common divisor of 987, 714, 729, 840?

We can find the highest common divisor of 987, 714, 729, 840 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 987, 714, 729, 840 i.e 3.

3. How can I use the GCD of 987, 714, 729, 840Calculator?

Out the numbers 987, 714, 729, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.