GCD of 748, 100, 692 Calculator

Given Input numbers are 748, 100, 692

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

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

GCD of numbers is the greatest common divisor

So, the GCD (748, 100, 692) = 4.

Given numbers are 748, 100, 692

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

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

Prime factors of 692 are 2 x 2 x 173

The highest common occurrence is 2²

Therefore, GCD of 748, 100, 692 is 4.

Given numbers are 748, 100, 692

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

Apply this formula for all numbers.

Step1:

LCM(748, 100) = 18700

GCD(748, 100) = ( 748 x 100 ) / 18700

= 748 / 100

= 748

Step2:

LCM(4, 692) = 692

GCD(4, 692) = ( 4 x 692 ) / 692

= 4 / 692

= 4

So, Greatest Common Divisor of 748, 100, 692 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 899, 838, 218
• GCD of 660, 780, 470
• GCD of 211, 213, 320
• GCD of 528, 224, 290
• GCD of 180, 723, 300

Given numbers are 748, 100, 692
The greatest common divisor of numbers 748, 100, 692 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 100, 692 is 4.

1. What is the GCD of 748, 100, 692?

GCD of given numbers 748, 100, 692 is 4

2. How to calculate the greatest common divisor of 748, 100, 692?

We can find the highest common divisor of 748, 100, 692 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 748, 100, 692 i.e 4.

3. How can I use the GCD of 748, 100, 692Calculator?

Out the numbers 748, 100, 692 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.