GCD of 382, 654, 626, 278 Calculator

Given Input numbers are 382, 654, 626, 278

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

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 626 :

The positive integer divisors of 626 that completely divides 626 are.

1, 2, 313, 626

Divisors of 278 :

The positive integer divisors of 278 that completely divides 278 are.

1, 2, 139, 278

GCD of numbers is the greatest common divisor

So, the GCD (382, 654, 626, 278) = 2.

Given numbers are 382, 654, 626, 278

The list of prime factors of all numbers are

Prime factors of 382 are 2 x 191

Prime factors of 654 are 2 x 3 x 109

Prime factors of 626 are 2 x 313

Prime factors of 278 are 2 x 139

The highest common occurrence is 2¹

Therefore, GCD of 382, 654, 626, 278 is 2.

Given numbers are 382, 654, 626, 278

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

Apply this formula for all numbers.

Step1:

LCM(382, 654) = 124914

GCD(382, 654) = ( 382 x 654 ) / 124914

= 382 / 654

= 382

Step2:

LCM(2, 626) = 626

GCD(2, 626) = ( 2 x 626 ) / 626

= 2 / 626

= 2

Step3:

LCM(2, 278) = 278

GCD(2, 278) = ( 2 x 278 ) / 278

= 2 / 278

= 2

So, Greatest Common Divisor of 382, 654, 626, 278 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 990, 487, 978, 425
• GCD of 787, 842, 954, 126
• GCD of 254, 620, 191, 577
• GCD of 171, 696, 547, 984
• GCD of 826, 447, 688, 383

Given numbers are 382, 654, 626, 278
The greatest common divisor of numbers 382, 654, 626, 278 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 382, 654, 626, 278 is 2.

1. What is the GCD of 382, 654, 626, 278?

GCD of given numbers 382, 654, 626, 278 is 2

2. How to calculate the greatest common divisor of 382, 654, 626, 278?

We can find the highest common divisor of 382, 654, 626, 278 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 382, 654, 626, 278 i.e 2.

3. How can I use the GCD of 382, 654, 626, 278Calculator?

Out the numbers 382, 654, 626, 278 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.