GCD of 345, 520, 907, 828 Calculator

Given Input numbers are 345, 520, 907, 828

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

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 907 :

The positive integer divisors of 907 that completely divides 907 are.

1, 907

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (345, 520, 907, 828) = 1.

Given numbers are 345, 520, 907, 828

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 907 are 907

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

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

Given numbers are 345, 520, 907, 828

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

Apply this formula for all numbers.

Step1:

LCM(345, 520) = 35880

GCD(345, 520) = ( 345 x 520 ) / 35880

= 345 / 520

= 345

Step2:

LCM(5, 907) = 4535

GCD(5, 907) = ( 5 x 907 ) / 4535

= 5 / 907

= 5

Step3:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1

So, Greatest Common Divisor of 345, 520, 907, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 969, 307, 236, 368
• GCD of 393, 338, 890, 943
• GCD of 329, 126, 929, 687
• GCD of 255, 711, 413, 286
• GCD of 538, 305, 666, 115

Given numbers are 345, 520, 907, 828
The greatest common divisor of numbers 345, 520, 907, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 520, 907, 828 is 1.

1. What is the GCD of 345, 520, 907, 828?

GCD of given numbers 345, 520, 907, 828 is 1

2. How to calculate the greatest common divisor of 345, 520, 907, 828?

We can find the highest common divisor of 345, 520, 907, 828 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 345, 520, 907, 828 i.e 1.

3. How can I use the GCD of 345, 520, 907, 828Calculator?

Out the numbers 345, 520, 907, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.