GCD of 414, 150, 652, 386 Calculator

Given Input numbers are 414, 150, 652, 386

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

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 652 :

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

1, 2, 4, 163, 326, 652

Divisors of 386 :

The positive integer divisors of 386 that completely divides 386 are.

1, 2, 193, 386

GCD of numbers is the greatest common divisor

So, the GCD (414, 150, 652, 386) = 2.

Given numbers are 414, 150, 652, 386

The list of prime factors of all numbers are

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 652 are 2 x 2 x 163

Prime factors of 386 are 2 x 193

The highest common occurrence is 2¹

Therefore, GCD of 414, 150, 652, 386 is 2.

Given numbers are 414, 150, 652, 386

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

Apply this formula for all numbers.

Step1:

LCM(414, 150) = 10350

GCD(414, 150) = ( 414 x 150 ) / 10350

= 414 / 150

= 414

Step2:

LCM(6, 652) = 1956

GCD(6, 652) = ( 6 x 652 ) / 1956

= 6 / 652

= 6

Step3:

LCM(2, 386) = 386

GCD(2, 386) = ( 2 x 386 ) / 386

= 2 / 386

= 2

So, Greatest Common Divisor of 414, 150, 652, 386 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 962, 973, 788, 773
• GCD of 979, 915, 237, 293
• GCD of 892, 862, 617, 728
• GCD of 100, 767, 639, 160
• GCD of 840, 491, 532, 655

Given numbers are 414, 150, 652, 386
The greatest common divisor of numbers 414, 150, 652, 386 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 414, 150, 652, 386 is 2.

1. What is the GCD of 414, 150, 652, 386?

GCD of given numbers 414, 150, 652, 386 is 2

2. How to calculate the greatest common divisor of 414, 150, 652, 386?

We can find the highest common divisor of 414, 150, 652, 386 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 414, 150, 652, 386 i.e 2.

3. How can I use the GCD of 414, 150, 652, 386Calculator?

Out the numbers 414, 150, 652, 386 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.