GCD of 274, 750, 960, 412 Calculator

Given Input numbers are 274, 750, 960, 412

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

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

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 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 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

GCD of numbers is the greatest common divisor

So, the GCD (274, 750, 960, 412) = 2.

Given numbers are 274, 750, 960, 412

The list of prime factors of all numbers are

Prime factors of 274 are 2 x 137

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

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

Prime factors of 412 are 2 x 2 x 103

The highest common occurrence is 2¹

Therefore, GCD of 274, 750, 960, 412 is 2.

Given numbers are 274, 750, 960, 412

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

Apply this formula for all numbers.

Step1:

LCM(274, 750) = 102750

GCD(274, 750) = ( 274 x 750 ) / 102750

= 274 / 750

= 274

Step2:

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

= 2 / 960

= 2

Step3:

LCM(2, 412) = 412

GCD(2, 412) = ( 2 x 412 ) / 412

= 2 / 412

= 2

So, Greatest Common Divisor of 274, 750, 960, 412 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 938, 141, 296, 152
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Given numbers are 274, 750, 960, 412
The greatest common divisor of numbers 274, 750, 960, 412 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 750, 960, 412 is 2.

1. What is the GCD of 274, 750, 960, 412?

GCD of given numbers 274, 750, 960, 412 is 2

2. How to calculate the greatest common divisor of 274, 750, 960, 412?

We can find the highest common divisor of 274, 750, 960, 412 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 274, 750, 960, 412 i.e 2.

3. How can I use the GCD of 274, 750, 960, 412Calculator?

Out the numbers 274, 750, 960, 412 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.