GCD of 501, 249, 378, 102 Calculator

Given Input numbers are 501, 249, 378, 102

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

Divisors of 501 :

The positive integer divisors of 501 that completely divides 501 are.

1, 3, 167, 501

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 102 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (501, 249, 378, 102) = 3.

Given numbers are 501, 249, 378, 102

The list of prime factors of all numbers are

Prime factors of 501 are 3 x 167

Prime factors of 249 are 3 x 83

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 102 are 2 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 501, 249, 378, 102 is 3.

Given numbers are 501, 249, 378, 102

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

Apply this formula for all numbers.

Step1:

LCM(501, 249) = 41583

GCD(501, 249) = ( 501 x 249 ) / 41583

= 501 / 249

= 501

Step2:

LCM(3, 378) = 378

GCD(3, 378) = ( 3 x 378 ) / 378

= 3 / 378

= 3

Step3:

LCM(3, 102) = 102

GCD(3, 102) = ( 3 x 102 ) / 102

= 3 / 102

= 3

So, Greatest Common Divisor of 501, 249, 378, 102 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 268, 959, 882, 788
• GCD of 793, 489, 253, 751
• GCD of 928, 391, 307, 591
• GCD of 432, 653, 263, 214
• GCD of 675, 781, 958, 835

Given numbers are 501, 249, 378, 102
The greatest common divisor of numbers 501, 249, 378, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 501, 249, 378, 102 is 3.

1. What is the GCD of 501, 249, 378, 102?

GCD of given numbers 501, 249, 378, 102 is 3

2. How to calculate the greatest common divisor of 501, 249, 378, 102?

We can find the highest common divisor of 501, 249, 378, 102 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 501, 249, 378, 102 i.e 3.

3. How can I use the GCD of 501, 249, 378, 102Calculator?

Out the numbers 501, 249, 378, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.