GCD of 548, 420, 606, 730 Calculator

Given Input numbers are 548, 420, 606, 730

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 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 606 :

The positive integer divisors of 606 that completely divides 606 are.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

GCD of numbers is the greatest common divisor

So, the GCD (548, 420, 606, 730) = 2.

Given numbers are 548, 420, 606, 730

The list of prime factors of all numbers are

Prime factors of 548 are 2 x 2 x 137

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 606 are 2 x 3 x 101

Prime factors of 730 are 2 x 5 x 73

The highest common occurrence is 2¹

Therefore, GCD of 548, 420, 606, 730 is 2.

Given numbers are 548, 420, 606, 730

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

Apply this formula for all numbers.

Step1:

LCM(548, 420) = 57540

GCD(548, 420) = ( 548 x 420 ) / 57540

= 548 / 420

= 548

Step2:

LCM(4, 606) = 1212

GCD(4, 606) = ( 4 x 606 ) / 1212

= 4 / 606

= 4

Step3:

LCM(2, 730) = 730

GCD(2, 730) = ( 2 x 730 ) / 730

= 2 / 730

= 2

So, Greatest Common Divisor of 548, 420, 606, 730 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 954, 951, 172, 383
• GCD of 778, 697, 832, 729
• GCD of 152, 150, 869, 805
• GCD of 759, 839, 556, 870
• GCD of 813, 150, 365, 726

Given numbers are 548, 420, 606, 730
The greatest common divisor of numbers 548, 420, 606, 730 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 420, 606, 730 is 2.

1. What is the GCD of 548, 420, 606, 730?

GCD of given numbers 548, 420, 606, 730 is 2

2. How to calculate the greatest common divisor of 548, 420, 606, 730?

We can find the highest common divisor of 548, 420, 606, 730 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, 420, 606, 730 i.e 2.

3. How can I use the GCD of 548, 420, 606, 730Calculator?

Out the numbers 548, 420, 606, 730 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.