GCD of 548, 169, 142, 319 Calculator

Given Input numbers are 548, 169, 142, 319

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 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 319 :

The positive integer divisors of 319 that completely divides 319 are.

1, 11, 29, 319

GCD of numbers is the greatest common divisor

So, the GCD (548, 169, 142, 319) = 1.

Given numbers are 548, 169, 142, 319

The list of prime factors of all numbers are

Prime factors of 548 are 2 x 2 x 137

Prime factors of 169 are 13 x 13

Prime factors of 142 are 2 x 71

Prime factors of 319 are 11 x 29

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 548, 169, 142, 319

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

Apply this formula for all numbers.

Step1:

LCM(548, 169) = 92612

GCD(548, 169) = ( 548 x 169 ) / 92612

= 548 / 169

= 548

Step2:

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

= 1 / 142

= 1

Step3:

LCM(1, 319) = 319

GCD(1, 319) = ( 1 x 319 ) / 319

= 1 / 319

= 1

So, Greatest Common Divisor of 548, 169, 142, 319 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 789, 675, 864, 136
• GCD of 728, 470, 533, 720
• GCD of 296, 425, 113, 255
• GCD of 245, 456, 845, 833
• GCD of 522, 594, 669, 723

Given numbers are 548, 169, 142, 319
The greatest common divisor of numbers 548, 169, 142, 319 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 169, 142, 319 is 1.

1. What is the GCD of 548, 169, 142, 319?

GCD of given numbers 548, 169, 142, 319 is 1

2. How to calculate the greatest common divisor of 548, 169, 142, 319?

We can find the highest common divisor of 548, 169, 142, 319 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, 169, 142, 319 i.e 1.

3. How can I use the GCD of 548, 169, 142, 319Calculator?

Out the numbers 548, 169, 142, 319 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.