GCD of 628, 234, 274, 240 Calculator

Given Input numbers are 628, 234, 274, 240

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

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 274 :

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

1, 2, 137, 274

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

GCD of numbers is the greatest common divisor

So, the GCD (628, 234, 274, 240) = 2.

Given numbers are 628, 234, 274, 240

The list of prime factors of all numbers are

Prime factors of 628 are 2 x 2 x 157

Prime factors of 234 are 2 x 3 x 3 x 13

Prime factors of 274 are 2 x 137

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 628, 234, 274, 240 is 2.

Given numbers are 628, 234, 274, 240

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

Apply this formula for all numbers.

Step1:

LCM(628, 234) = 73476

GCD(628, 234) = ( 628 x 234 ) / 73476

= 628 / 234

= 628

Step2:

LCM(2, 274) = 274

GCD(2, 274) = ( 2 x 274 ) / 274

= 2 / 274

= 2

Step3:

LCM(2, 240) = 240

GCD(2, 240) = ( 2 x 240 ) / 240

= 2 / 240

= 2

So, Greatest Common Divisor of 628, 234, 274, 240 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 950, 491, 181, 171
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• GCD of 261, 790, 698, 695
• GCD of 779, 334, 881, 449
• GCD of 933, 997, 569, 763

Given numbers are 628, 234, 274, 240
The greatest common divisor of numbers 628, 234, 274, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 628, 234, 274, 240 is 2.

1. What is the GCD of 628, 234, 274, 240?

GCD of given numbers 628, 234, 274, 240 is 2

2. How to calculate the greatest common divisor of 628, 234, 274, 240?

We can find the highest common divisor of 628, 234, 274, 240 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 628, 234, 274, 240 i.e 2.

3. How can I use the GCD of 628, 234, 274, 240Calculator?

Out the numbers 628, 234, 274, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.