GCD of 548, 470, 660, 352 Calculator

Given Input numbers are 548, 470, 660, 352

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 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

GCD of numbers is the greatest common divisor

So, the GCD (548, 470, 660, 352) = 2.

Given numbers are 548, 470, 660, 352

The list of prime factors of all numbers are

Prime factors of 548 are 2 x 2 x 137

Prime factors of 470 are 2 x 5 x 47

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

The highest common occurrence is 2¹

Therefore, GCD of 548, 470, 660, 352 is 2.

Given numbers are 548, 470, 660, 352

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

Apply this formula for all numbers.

Step1:

LCM(548, 470) = 128780

GCD(548, 470) = ( 548 x 470 ) / 128780

= 548 / 470

= 548

Step2:

LCM(2, 660) = 660

GCD(2, 660) = ( 2 x 660 ) / 660

= 2 / 660

= 2

Step3:

LCM(2, 352) = 352

GCD(2, 352) = ( 2 x 352 ) / 352

= 2 / 352

= 2

So, Greatest Common Divisor of 548, 470, 660, 352 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 894, 931, 873, 461
• GCD of 280, 470, 879, 266
• GCD of 940, 669, 414, 883
• GCD of 304, 199, 546, 833
• GCD of 764, 664, 699, 987

Given numbers are 548, 470, 660, 352
The greatest common divisor of numbers 548, 470, 660, 352 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 470, 660, 352 is 2.

1. What is the GCD of 548, 470, 660, 352?

GCD of given numbers 548, 470, 660, 352 is 2

2. How to calculate the greatest common divisor of 548, 470, 660, 352?

We can find the highest common divisor of 548, 470, 660, 352 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, 470, 660, 352 i.e 2.

3. How can I use the GCD of 548, 470, 660, 352Calculator?

Out the numbers 548, 470, 660, 352 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.