GCD of 724, 692, 152 Calculator

Given Input numbers are 724, 692, 152

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

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 692 :

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

1, 2, 4, 173, 346, 692

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

GCD of numbers is the greatest common divisor

So, the GCD (724, 692, 152) = 4.

Given numbers are 724, 692, 152

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 692 are 2 x 2 x 173

Prime factors of 152 are 2 x 2 x 2 x 19

The highest common occurrence is 2²

Therefore, GCD of 724, 692, 152 is 4.

Given numbers are 724, 692, 152

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

Apply this formula for all numbers.

Step1:

LCM(724, 692) = 125252

GCD(724, 692) = ( 724 x 692 ) / 125252

= 724 / 692

= 724

Step2:

LCM(4, 152) = 152

GCD(4, 152) = ( 4 x 152 ) / 152

= 4 / 152

= 4

So, Greatest Common Divisor of 724, 692, 152 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 798, 104, 735
• GCD of 722, 951, 481
• GCD of 607, 463, 923
• GCD of 126, 908, 939
• GCD of 792, 546, 904

Given numbers are 724, 692, 152
The greatest common divisor of numbers 724, 692, 152 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 692, 152 is 4.

1. What is the GCD of 724, 692, 152?

GCD of given numbers 724, 692, 152 is 4

2. How to calculate the greatest common divisor of 724, 692, 152?

We can find the highest common divisor of 724, 692, 152 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 724, 692, 152 i.e 4.

3. How can I use the GCD of 724, 692, 152Calculator?

Out the numbers 724, 692, 152 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.