GCD of 260, 150, 945, 565 Calculator

Given Input numbers are 260, 150, 945, 565

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

Divisors of 260 :

The positive integer divisors of 260 that completely divides 260 are.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

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 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 565 :

The positive integer divisors of 565 that completely divides 565 are.

1, 5, 113, 565

GCD of numbers is the greatest common divisor

So, the GCD (260, 150, 945, 565) = 5.

Given numbers are 260, 150, 945, 565

The list of prime factors of all numbers are

Prime factors of 260 are 2 x 2 x 5 x 13

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

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

Prime factors of 565 are 5 x 113

The highest common occurrence is 5¹

Therefore, GCD of 260, 150, 945, 565 is 5.

Given numbers are 260, 150, 945, 565

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

Apply this formula for all numbers.

Step1:

LCM(260, 150) = 3900

GCD(260, 150) = ( 260 x 150 ) / 3900

= 260 / 150

= 260

Step2:

LCM(10, 945) = 1890

GCD(10, 945) = ( 10 x 945 ) / 1890

= 10 / 945

= 10

Step3:

LCM(5, 565) = 565

GCD(5, 565) = ( 5 x 565 ) / 565

= 5 / 565

= 5

So, Greatest Common Divisor of 260, 150, 945, 565 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 381, 776, 666, 536
• GCD of 200, 214, 734, 916
• GCD of 657, 119, 180, 708
• GCD of 660, 914, 746, 608
• GCD of 550, 494, 308, 707

Given numbers are 260, 150, 945, 565
The greatest common divisor of numbers 260, 150, 945, 565 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 260, 150, 945, 565 is 5.

1. What is the GCD of 260, 150, 945, 565?

GCD of given numbers 260, 150, 945, 565 is 5

2. How to calculate the greatest common divisor of 260, 150, 945, 565?

We can find the highest common divisor of 260, 150, 945, 565 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 260, 150, 945, 565 i.e 5.

3. How can I use the GCD of 260, 150, 945, 565Calculator?

Out the numbers 260, 150, 945, 565 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.