GCD of 548, 100, 378, 506 Calculator

Given Input numbers are 548, 100, 378, 506

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

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

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 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

GCD of numbers is the greatest common divisor

So, the GCD (548, 100, 378, 506) = 2.

Given numbers are 548, 100, 378, 506

The list of prime factors of all numbers are

Prime factors of 548 are 2 x 2 x 137

Prime factors of 100 are 2 x 2 x 5 x 5

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

Prime factors of 506 are 2 x 11 x 23

The highest common occurrence is 2¹

Therefore, GCD of 548, 100, 378, 506 is 2.

Given numbers are 548, 100, 378, 506

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

Apply this formula for all numbers.

Step1:

LCM(548, 100) = 13700

GCD(548, 100) = ( 548 x 100 ) / 13700

= 548 / 100

= 548

Step2:

LCM(4, 378) = 756

GCD(4, 378) = ( 4 x 378 ) / 756

= 4 / 378

= 4

Step3:

LCM(2, 506) = 506

GCD(2, 506) = ( 2 x 506 ) / 506

= 2 / 506

= 2

So, Greatest Common Divisor of 548, 100, 378, 506 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 179, 493, 599, 567
• GCD of 136, 801, 977, 421
• GCD of 663, 653, 697, 884
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• GCD of 391, 920, 730, 815

Given numbers are 548, 100, 378, 506
The greatest common divisor of numbers 548, 100, 378, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 100, 378, 506 is 2.

1. What is the GCD of 548, 100, 378, 506?

GCD of given numbers 548, 100, 378, 506 is 2

2. How to calculate the greatest common divisor of 548, 100, 378, 506?

We can find the highest common divisor of 548, 100, 378, 506 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 548, 100, 378, 506 i.e 2.

3. How can I use the GCD of 548, 100, 378, 506Calculator?

Out the numbers 548, 100, 378, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.