GCD of 120, 675, 699, 435 Calculator

Given Input numbers are 120, 675, 699, 435

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 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 435 :

The positive integer divisors of 435 that completely divides 435 are.

1, 3, 5, 15, 29, 87, 145, 435

GCD of numbers is the greatest common divisor

So, the GCD (120, 675, 699, 435) = 3.

Given numbers are 120, 675, 699, 435

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 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 699 are 3 x 233

Prime factors of 435 are 3 x 5 x 29

The highest common occurrence is 3¹

Therefore, GCD of 120, 675, 699, 435 is 3.

Given numbers are 120, 675, 699, 435

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

Apply this formula for all numbers.

Step1:

LCM(120, 675) = 5400

GCD(120, 675) = ( 120 x 675 ) / 5400

= 120 / 675

= 120

Step2:

LCM(15, 699) = 3495

GCD(15, 699) = ( 15 x 699 ) / 3495

= 15 / 699

= 15

Step3:

LCM(3, 435) = 435

GCD(3, 435) = ( 3 x 435 ) / 435

= 3 / 435

= 3

So, Greatest Common Divisor of 120, 675, 699, 435 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 335, 881, 280, 914
• GCD of 978, 244, 488, 699
• GCD of 163, 478, 467, 898
• GCD of 553, 315, 132, 796
• GCD of 810, 437, 549, 141

Given numbers are 120, 675, 699, 435
The greatest common divisor of numbers 120, 675, 699, 435 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 675, 699, 435 is 3.

1. What is the GCD of 120, 675, 699, 435?

GCD of given numbers 120, 675, 699, 435 is 3

2. How to calculate the greatest common divisor of 120, 675, 699, 435?

We can find the highest common divisor of 120, 675, 699, 435 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, 675, 699, 435 i.e 3.

3. How can I use the GCD of 120, 675, 699, 435Calculator?

Out the numbers 120, 675, 699, 435 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.