GCD of 300, 945, 538, 680 Calculator

Given Input numbers are 300, 945, 538, 680

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

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

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 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

GCD of numbers is the greatest common divisor

So, the GCD (300, 945, 538, 680) = 1.

Given numbers are 300, 945, 538, 680

The list of prime factors of all numbers are

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

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

Prime factors of 538 are 2 x 269

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

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

Given numbers are 300, 945, 538, 680

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

Apply this formula for all numbers.

Step1:

LCM(300, 945) = 18900

GCD(300, 945) = ( 300 x 945 ) / 18900

= 300 / 945

= 300

Step2:

LCM(15, 538) = 8070

GCD(15, 538) = ( 15 x 538 ) / 8070

= 15 / 538

= 15

Step3:

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

= 1 / 680

= 1

So, Greatest Common Divisor of 300, 945, 538, 680 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 427, 810, 987, 273
• GCD of 797, 958, 668, 608
• GCD of 899, 262, 220, 808
• GCD of 352, 781, 223, 135
• GCD of 163, 537, 665, 920

Given numbers are 300, 945, 538, 680
The greatest common divisor of numbers 300, 945, 538, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 945, 538, 680 is 1.

1. What is the GCD of 300, 945, 538, 680?

GCD of given numbers 300, 945, 538, 680 is 1

2. How to calculate the greatest common divisor of 300, 945, 538, 680?

We can find the highest common divisor of 300, 945, 538, 680 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 300, 945, 538, 680 i.e 1.

3. How can I use the GCD of 300, 945, 538, 680Calculator?

Out the numbers 300, 945, 538, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.