GCD of 100, 692, 296 Calculator

Given Input numbers are 100, 692, 296

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 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

GCD of numbers is the greatest common divisor

So, the GCD (100, 692, 296) = 4.

Given numbers are 100, 692, 296

The list of prime factors of all numbers are

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

Prime factors of 692 are 2 x 2 x 173

Prime factors of 296 are 2 x 2 x 2 x 37

The highest common occurrence is 2²

Therefore, GCD of 100, 692, 296 is 4.

Given numbers are 100, 692, 296

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

Apply this formula for all numbers.

Step1:

LCM(100, 692) = 17300

GCD(100, 692) = ( 100 x 692 ) / 17300

= 100 / 692

= 100

Step2:

LCM(4, 296) = 296

GCD(4, 296) = ( 4 x 296 ) / 296

= 4 / 296

= 4

So, Greatest Common Divisor of 100, 692, 296 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 887, 139, 606
• GCD of 787, 934, 330
• GCD of 977, 546, 185
• GCD of 858, 477, 909
• GCD of 308, 412, 604

Given numbers are 100, 692, 296
The greatest common divisor of numbers 100, 692, 296 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 692, 296 is 4.

1. What is the GCD of 100, 692, 296?

GCD of given numbers 100, 692, 296 is 4

2. How to calculate the greatest common divisor of 100, 692, 296?

We can find the highest common divisor of 100, 692, 296 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, 692, 296 i.e 4.

3. How can I use the GCD of 100, 692, 296Calculator?

Out the numbers 100, 692, 296 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.