GCD of 102, 628, 502, 382 Calculator

Given Input numbers are 102, 628, 502, 382

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

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 628 :

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

1, 2, 4, 157, 314, 628

Divisors of 502 :

The positive integer divisors of 502 that completely divides 502 are.

1, 2, 251, 502

Divisors of 382 :

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

1, 2, 191, 382

GCD of numbers is the greatest common divisor

So, the GCD (102, 628, 502, 382) = 2.

Given numbers are 102, 628, 502, 382

The list of prime factors of all numbers are

Prime factors of 102 are 2 x 3 x 17

Prime factors of 628 are 2 x 2 x 157

Prime factors of 502 are 2 x 251

Prime factors of 382 are 2 x 191

The highest common occurrence is 2¹

Therefore, GCD of 102, 628, 502, 382 is 2.

Given numbers are 102, 628, 502, 382

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

Apply this formula for all numbers.

Step1:

LCM(102, 628) = 32028

GCD(102, 628) = ( 102 x 628 ) / 32028

= 102 / 628

= 102

Step2:

LCM(2, 502) = 502

GCD(2, 502) = ( 2 x 502 ) / 502

= 2 / 502

= 2

Step3:

LCM(2, 382) = 382

GCD(2, 382) = ( 2 x 382 ) / 382

= 2 / 382

= 2

So, Greatest Common Divisor of 102, 628, 502, 382 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 661, 714, 227, 253
• GCD of 580, 597, 558, 375
• GCD of 429, 911, 249, 731
• GCD of 879, 180, 127, 437
• GCD of 671, 753, 615, 437

Given numbers are 102, 628, 502, 382
The greatest common divisor of numbers 102, 628, 502, 382 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 102, 628, 502, 382 is 2.

1. What is the GCD of 102, 628, 502, 382?

GCD of given numbers 102, 628, 502, 382 is 2

2. How to calculate the greatest common divisor of 102, 628, 502, 382?

We can find the highest common divisor of 102, 628, 502, 382 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 102, 628, 502, 382 i.e 2.

3. How can I use the GCD of 102, 628, 502, 382Calculator?

Out the numbers 102, 628, 502, 382 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.