GCD of 120, 606, 945, 699 Calculator

Given Input numbers are 120, 606, 945, 699

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 606 :

The positive integer divisors of 606 that completely divides 606 are.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 699 :

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

1, 3, 233, 699

GCD of numbers is the greatest common divisor

So, the GCD (120, 606, 945, 699) = 3.

Given numbers are 120, 606, 945, 699

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 606 are 2 x 3 x 101

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 699 are 3 x 233

The highest common occurrence is 3¹

Therefore, GCD of 120, 606, 945, 699 is 3.

Given numbers are 120, 606, 945, 699

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

Apply this formula for all numbers.

Step1:

LCM(120, 606) = 12120

GCD(120, 606) = ( 120 x 606 ) / 12120

= 120 / 606

= 120

Step2:

LCM(6, 945) = 1890

GCD(6, 945) = ( 6 x 945 ) / 1890

= 6 / 945

= 6

Step3:

LCM(3, 699) = 699

GCD(3, 699) = ( 3 x 699 ) / 699

= 3 / 699

= 3

So, Greatest Common Divisor of 120, 606, 945, 699 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 335, 253, 416, 436
• GCD of 979, 176, 225, 190
• GCD of 903, 261, 744, 225
• GCD of 978, 487, 959, 677
• GCD of 872, 975, 392, 610

Given numbers are 120, 606, 945, 699
The greatest common divisor of numbers 120, 606, 945, 699 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 606, 945, 699 is 3.

1. What is the GCD of 120, 606, 945, 699?

GCD of given numbers 120, 606, 945, 699 is 3

2. How to calculate the greatest common divisor of 120, 606, 945, 699?

We can find the highest common divisor of 120, 606, 945, 699 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, 606, 945, 699 i.e 3.

3. How can I use the GCD of 120, 606, 945, 699Calculator?

Out the numbers 120, 606, 945, 699 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.