GCD of 370, 508, 144, 334 Calculator

Given Input numbers are 370, 508, 144, 334

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

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

GCD of numbers is the greatest common divisor

So, the GCD (370, 508, 144, 334) = 2.

Given numbers are 370, 508, 144, 334

The list of prime factors of all numbers are

Prime factors of 370 are 2 x 5 x 37

Prime factors of 508 are 2 x 2 x 127

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 334 are 2 x 167

The highest common occurrence is 2¹

Therefore, GCD of 370, 508, 144, 334 is 2.

Given numbers are 370, 508, 144, 334

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

Apply this formula for all numbers.

Step1:

LCM(370, 508) = 93980

GCD(370, 508) = ( 370 x 508 ) / 93980

= 370 / 508

= 370

Step2:

LCM(2, 144) = 144

GCD(2, 144) = ( 2 x 144 ) / 144

= 2 / 144

= 2

Step3:

LCM(2, 334) = 334

GCD(2, 334) = ( 2 x 334 ) / 334

= 2 / 334

= 2

So, Greatest Common Divisor of 370, 508, 144, 334 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 344, 720, 673, 207
• GCD of 580, 167, 477, 932
• GCD of 242, 866, 554, 106
• GCD of 392, 579, 267, 387
• GCD of 322, 305, 169, 435

Given numbers are 370, 508, 144, 334
The greatest common divisor of numbers 370, 508, 144, 334 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 508, 144, 334 is 2.

1. What is the GCD of 370, 508, 144, 334?

GCD of given numbers 370, 508, 144, 334 is 2

2. How to calculate the greatest common divisor of 370, 508, 144, 334?

We can find the highest common divisor of 370, 508, 144, 334 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 370, 508, 144, 334 i.e 2.

3. How can I use the GCD of 370, 508, 144, 334Calculator?

Out the numbers 370, 508, 144, 334 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.