GCD of 996, 804, 696, 140 Calculator

Given Input numbers are 996, 804, 696, 140

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

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

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 (996, 804, 696, 140) = 4.

Given numbers are 996, 804, 696, 140

The list of prime factors of all numbers are

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 804 are 2 x 2 x 3 x 67

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

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

The highest common occurrence is 2²

Therefore, GCD of 996, 804, 696, 140 is 4.

Given numbers are 996, 804, 696, 140

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

Apply this formula for all numbers.

Step1:

LCM(996, 804) = 66732

GCD(996, 804) = ( 996 x 804 ) / 66732

= 996 / 804

= 996

Step2:

LCM(12, 696) = 696

GCD(12, 696) = ( 12 x 696 ) / 696

= 12 / 696

= 12

Step3:

LCM(12, 140) = 420

GCD(12, 140) = ( 12 x 140 ) / 420

= 12 / 140

= 12

So, Greatest Common Divisor of 996, 804, 696, 140 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 367, 867, 556, 216
• GCD of 228, 296, 162, 195
• GCD of 659, 330, 174, 602
• GCD of 428, 952, 609, 679
• GCD of 803, 714, 115, 622

Given numbers are 996, 804, 696, 140
The greatest common divisor of numbers 996, 804, 696, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 804, 696, 140 is 4.

1. What is the GCD of 996, 804, 696, 140?

GCD of given numbers 996, 804, 696, 140 is 4

2. How to calculate the greatest common divisor of 996, 804, 696, 140?

We can find the highest common divisor of 996, 804, 696, 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 996, 804, 696, 140 i.e 4.

3. How can I use the GCD of 996, 804, 696, 140Calculator?

Out the numbers 996, 804, 696, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.