GCD of 510, 150, 253, 307 Calculator

Given Input numbers are 510, 150, 253, 307

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

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 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 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253

Divisors of 307 :

The positive integer divisors of 307 that completely divides 307 are.

1, 307

GCD of numbers is the greatest common divisor

So, the GCD (510, 150, 253, 307) = 1.

Given numbers are 510, 150, 253, 307

The list of prime factors of all numbers are

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

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

Prime factors of 253 are 11 x 23

Prime factors of 307 are 307

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 510, 150, 253, 307

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

Apply this formula for all numbers.

Step1:

LCM(510, 150) = 2550

GCD(510, 150) = ( 510 x 150 ) / 2550

= 510 / 150

= 510

Step2:

LCM(30, 253) = 7590

GCD(30, 253) = ( 30 x 253 ) / 7590

= 30 / 253

= 30

Step3:

LCM(1, 307) = 307

GCD(1, 307) = ( 1 x 307 ) / 307

= 1 / 307

= 1

So, Greatest Common Divisor of 510, 150, 253, 307 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 111, 361, 403, 659
• GCD of 524, 909, 162, 738
• GCD of 280, 862, 422, 172
• GCD of 586, 381, 998, 660
• GCD of 368, 778, 526, 251

Given numbers are 510, 150, 253, 307
The greatest common divisor of numbers 510, 150, 253, 307 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 510, 150, 253, 307 is 1.

1. What is the GCD of 510, 150, 253, 307?

GCD of given numbers 510, 150, 253, 307 is 1

2. How to calculate the greatest common divisor of 510, 150, 253, 307?

We can find the highest common divisor of 510, 150, 253, 307 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 510, 150, 253, 307 i.e 1.

3. How can I use the GCD of 510, 150, 253, 307Calculator?

Out the numbers 510, 150, 253, 307 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.