GCD of 996, 795, 354, 153 Calculator

Given Input numbers are 996, 795, 354, 153

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 795 :

The positive integer divisors of 795 that completely divides 795 are.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153

GCD of numbers is the greatest common divisor

So, the GCD (996, 795, 354, 153) = 3.

Given numbers are 996, 795, 354, 153

The list of prime factors of all numbers are

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

Prime factors of 795 are 3 x 5 x 53

Prime factors of 354 are 2 x 3 x 59

Prime factors of 153 are 3 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 996, 795, 354, 153 is 3.

Given numbers are 996, 795, 354, 153

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

Apply this formula for all numbers.

Step1:

LCM(996, 795) = 263940

GCD(996, 795) = ( 996 x 795 ) / 263940

= 996 / 795

= 996

Step2:

LCM(3, 354) = 354

GCD(3, 354) = ( 3 x 354 ) / 354

= 3 / 354

= 3

Step3:

LCM(3, 153) = 153

GCD(3, 153) = ( 3 x 153 ) / 153

= 3 / 153

= 3

So, Greatest Common Divisor of 996, 795, 354, 153 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 884, 621, 209, 173
• GCD of 370, 844, 707, 146
• GCD of 776, 381, 286, 293
• GCD of 555, 134, 628, 160
• GCD of 275, 558, 692, 467

Given numbers are 996, 795, 354, 153
The greatest common divisor of numbers 996, 795, 354, 153 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 795, 354, 153 is 3.

1. What is the GCD of 996, 795, 354, 153?

GCD of given numbers 996, 795, 354, 153 is 3

2. How to calculate the greatest common divisor of 996, 795, 354, 153?

We can find the highest common divisor of 996, 795, 354, 153 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, 795, 354, 153 i.e 3.

3. How can I use the GCD of 996, 795, 354, 153Calculator?

Out the numbers 996, 795, 354, 153 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.