GCD of 984, 689, 648, 140 Calculator

Given Input numbers are 984, 689, 648, 140

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

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

GCD of numbers is the greatest common divisor

So, the GCD (984, 689, 648, 140) = 1.

Given numbers are 984, 689, 648, 140

The list of prime factors of all numbers are

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 689 are 13 x 53

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 140 are 2 x 2 x 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 984, 689, 648, 140

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

Apply this formula for all numbers.

Step1:

LCM(984, 689) = 677976

GCD(984, 689) = ( 984 x 689 ) / 677976

= 984 / 689

= 984

Step2:

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

= 1 / 648

= 1

Step3:

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

= 1 / 140

= 1

So, Greatest Common Divisor of 984, 689, 648, 140 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 707, 234, 457, 522
• GCD of 804, 306, 350, 507
• GCD of 885, 569, 224, 117
• GCD of 510, 495, 116, 334
• GCD of 801, 686, 542, 894

Given numbers are 984, 689, 648, 140
The greatest common divisor of numbers 984, 689, 648, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 689, 648, 140 is 1.

1. What is the GCD of 984, 689, 648, 140?

GCD of given numbers 984, 689, 648, 140 is 1

2. How to calculate the greatest common divisor of 984, 689, 648, 140?

We can find the highest common divisor of 984, 689, 648, 140 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 984, 689, 648, 140 i.e 1.

3. How can I use the GCD of 984, 689, 648, 140Calculator?

Out the numbers 984, 689, 648, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.