GCD of 242, 750, 575, 960 Calculator

Given Input numbers are 242, 750, 575, 960

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

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 575 :

The positive integer divisors of 575 that completely divides 575 are.

1, 5, 23, 25, 115, 575

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (242, 750, 575, 960) = 1.

Given numbers are 242, 750, 575, 960

The list of prime factors of all numbers are

Prime factors of 242 are 2 x 11 x 11

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

Prime factors of 575 are 5 x 5 x 23

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Given numbers are 242, 750, 575, 960

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

Apply this formula for all numbers.

Step1:

LCM(242, 750) = 90750

GCD(242, 750) = ( 242 x 750 ) / 90750

= 242 / 750

= 242

Step2:

LCM(2, 575) = 1150

GCD(2, 575) = ( 2 x 575 ) / 1150

= 2 / 575

= 2

Step3:

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

= 1 / 960

= 1

So, Greatest Common Divisor of 242, 750, 575, 960 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 382, 766, 580, 418
• GCD of 634, 372, 962, 774
• GCD of 457, 883, 945, 971
• GCD of 668, 619, 671, 738
• GCD of 316, 588, 521, 929

Given numbers are 242, 750, 575, 960
The greatest common divisor of numbers 242, 750, 575, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 750, 575, 960 is 1.

1. What is the GCD of 242, 750, 575, 960?

GCD of given numbers 242, 750, 575, 960 is 1

2. How to calculate the greatest common divisor of 242, 750, 575, 960?

We can find the highest common divisor of 242, 750, 575, 960 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 242, 750, 575, 960 i.e 1.

3. How can I use the GCD of 242, 750, 575, 960Calculator?

Out the numbers 242, 750, 575, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.