GCD of 120, 176, 652, 724 Calculator

Given Input numbers are 120, 176, 652, 724

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 176 :

The positive integer divisors of 176 that completely divides 176 are.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

Divisors of 724 :

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

1, 2, 4, 181, 362, 724

GCD of numbers is the greatest common divisor

So, the GCD (120, 176, 652, 724) = 4.

Given numbers are 120, 176, 652, 724

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 176 are 2 x 2 x 2 x 2 x 11

Prime factors of 652 are 2 x 2 x 163

Prime factors of 724 are 2 x 2 x 181

The highest common occurrence is 2²

Therefore, GCD of 120, 176, 652, 724 is 4.

Given numbers are 120, 176, 652, 724

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

Apply this formula for all numbers.

Step1:

LCM(120, 176) = 2640

GCD(120, 176) = ( 120 x 176 ) / 2640

= 120 / 176

= 120

Step2:

LCM(8, 652) = 1304

GCD(8, 652) = ( 8 x 652 ) / 1304

= 8 / 652

= 8

Step3:

LCM(4, 724) = 724

GCD(4, 724) = ( 4 x 724 ) / 724

= 4 / 724

= 4

So, Greatest Common Divisor of 120, 176, 652, 724 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 990, 214, 559, 206
• GCD of 599, 697, 550, 690
• GCD of 495, 600, 607, 175
• GCD of 304, 225, 265, 763
• GCD of 540, 201, 563, 576

Given numbers are 120, 176, 652, 724
The greatest common divisor of numbers 120, 176, 652, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 176, 652, 724 is 4.

1. What is the GCD of 120, 176, 652, 724?

GCD of given numbers 120, 176, 652, 724 is 4

2. How to calculate the greatest common divisor of 120, 176, 652, 724?

We can find the highest common divisor of 120, 176, 652, 724 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 120, 176, 652, 724 i.e 4.

3. How can I use the GCD of 120, 176, 652, 724Calculator?

Out the numbers 120, 176, 652, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.