GCD of 420, 510, 945, 699 Calculator

Given Input numbers are 420, 510, 945, 699

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

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

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 (420, 510, 945, 699) = 3.

Given numbers are 420, 510, 945, 699

The list of prime factors of all numbers are

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 510 are 2 x 3 x 5 x 17

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 420, 510, 945, 699 is 3.

Given numbers are 420, 510, 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(420, 510) = 7140

GCD(420, 510) = ( 420 x 510 ) / 7140

= 420 / 510

= 420

Step2:

LCM(30, 945) = 1890

GCD(30, 945) = ( 30 x 945 ) / 1890

= 30 / 945

= 30

Step3:

LCM(15, 699) = 3495

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

= 15 / 699

= 15

So, Greatest Common Divisor of 420, 510, 945, 699 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 111, 891, 404, 827
• GCD of 777, 480, 307, 791
• GCD of 903, 279, 572, 610
• GCD of 555, 259, 531, 306
• GCD of 515, 690, 906, 623

Given numbers are 420, 510, 945, 699
The greatest common divisor of numbers 420, 510, 945, 699 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 510, 945, 699 is 3.

1. What is the GCD of 420, 510, 945, 699?

GCD of given numbers 420, 510, 945, 699 is 3

2. How to calculate the greatest common divisor of 420, 510, 945, 699?

We can find the highest common divisor of 420, 510, 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 420, 510, 945, 699 i.e 3.

3. How can I use the GCD of 420, 510, 945, 699Calculator?

Out the numbers 420, 510, 945, 699 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.