GCD of 960, 242, 74, 940 Calculator

Given Input numbers are 960, 242, 74, 940

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

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

Divisors of 242 :

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

1, 2, 11, 22, 121, 242

Divisors of 74 :

The positive integer divisors of 74 that completely divides 74 are.

1, 2, 37, 74

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

GCD of numbers is the greatest common divisor

So, the GCD (960, 242, 74, 940) = 2.

Given numbers are 960, 242, 74, 940

The list of prime factors of all numbers are

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

Prime factors of 242 are 2 x 11 x 11

Prime factors of 74 are 2 x 37

Prime factors of 940 are 2 x 2 x 5 x 47

The highest common occurrence is 2¹

Therefore, GCD of 960, 242, 74, 940 is 2.

Given numbers are 960, 242, 74, 940

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

Apply this formula for all numbers.

Step1:

LCM(960, 242) = 116160

GCD(960, 242) = ( 960 x 242 ) / 116160

= 960 / 242

= 960

Step2:

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

= 2 / 74

= 2

Step3:

LCM(2, 940) = 940

GCD(2, 940) = ( 2 x 940 ) / 940

= 2 / 940

= 2

So, Greatest Common Divisor of 960, 242, 74, 940 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 236, 744, 69, 986
• GCD of 646, 276, 32, 410
• GCD of 462, 851, 54, 761
• GCD of 452, 858, 41, 666
• GCD of 890, 629, 74, 329

Given numbers are 960, 242, 74, 940
The greatest common divisor of numbers 960, 242, 74, 940 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 242, 74, 940 is 2.

1. What is the GCD of 960, 242, 74, 940?

GCD of given numbers 960, 242, 74, 940 is 2

2. How to calculate the greatest common divisor of 960, 242, 74, 940?

We can find the highest common divisor of 960, 242, 74, 940 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 960, 242, 74, 940 i.e 2.

3. How can I use the GCD of 960, 242, 74, 940Calculator?

Out the numbers 960, 242, 74, 940 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.