GCD of 696, 998, 902, 178 Calculator

Given Input numbers are 696, 998, 902, 178

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

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 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178

GCD of numbers is the greatest common divisor

So, the GCD (696, 998, 902, 178) = 2.

Given numbers are 696, 998, 902, 178

The list of prime factors of all numbers are

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

Prime factors of 998 are 2 x 499

Prime factors of 902 are 2 x 11 x 41

Prime factors of 178 are 2 x 89

The highest common occurrence is 2¹

Therefore, GCD of 696, 998, 902, 178 is 2.

Given numbers are 696, 998, 902, 178

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

Apply this formula for all numbers.

Step1:

LCM(696, 998) = 347304

GCD(696, 998) = ( 696 x 998 ) / 347304

= 696 / 998

= 696

Step2:

LCM(2, 902) = 902

GCD(2, 902) = ( 2 x 902 ) / 902

= 2 / 902

= 2

Step3:

LCM(2, 178) = 178

GCD(2, 178) = ( 2 x 178 ) / 178

= 2 / 178

= 2

So, Greatest Common Divisor of 696, 998, 902, 178 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 849, 976, 464, 781
• GCD of 995, 277, 863, 517
• GCD of 756, 379, 493, 923
• GCD of 454, 346, 723, 745
• GCD of 717, 193, 953, 526

Given numbers are 696, 998, 902, 178
The greatest common divisor of numbers 696, 998, 902, 178 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 696, 998, 902, 178 is 2.

1. What is the GCD of 696, 998, 902, 178?

GCD of given numbers 696, 998, 902, 178 is 2

2. How to calculate the greatest common divisor of 696, 998, 902, 178?

We can find the highest common divisor of 696, 998, 902, 178 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 696, 998, 902, 178 i.e 2.

3. How can I use the GCD of 696, 998, 902, 178Calculator?

Out the numbers 696, 998, 902, 178 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.