GCD of 100, 178, 172, 682 Calculator

Given Input numbers are 100, 178, 172, 682

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

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 178 :

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

1, 2, 89, 178

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

GCD of numbers is the greatest common divisor

So, the GCD (100, 178, 172, 682) = 2.

Given numbers are 100, 178, 172, 682

The list of prime factors of all numbers are

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 178 are 2 x 89

Prime factors of 172 are 2 x 2 x 43

Prime factors of 682 are 2 x 11 x 31

The highest common occurrence is 2¹

Therefore, GCD of 100, 178, 172, 682 is 2.

Given numbers are 100, 178, 172, 682

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

Apply this formula for all numbers.

Step1:

LCM(100, 178) = 8900

GCD(100, 178) = ( 100 x 178 ) / 8900

= 100 / 178

= 100

Step2:

LCM(2, 172) = 172

GCD(2, 172) = ( 2 x 172 ) / 172

= 2 / 172

= 2

Step3:

LCM(2, 682) = 682

GCD(2, 682) = ( 2 x 682 ) / 682

= 2 / 682

= 2

So, Greatest Common Divisor of 100, 178, 172, 682 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 167, 412, 826, 352
• GCD of 444, 858, 438, 804
• GCD of 119, 436, 230, 830
• GCD of 760, 770, 227, 511
• GCD of 929, 909, 996, 670

Given numbers are 100, 178, 172, 682
The greatest common divisor of numbers 100, 178, 172, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 178, 172, 682 is 2.

1. What is the GCD of 100, 178, 172, 682?

GCD of given numbers 100, 178, 172, 682 is 2

2. How to calculate the greatest common divisor of 100, 178, 172, 682?

We can find the highest common divisor of 100, 178, 172, 682 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 100, 178, 172, 682 i.e 2.

3. How can I use the GCD of 100, 178, 172, 682Calculator?

Out the numbers 100, 178, 172, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.