GCD of 322, 380, 748, 142 Calculator

Given Input numbers are 322, 380, 748, 142

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

Divisors of 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 142 :

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

1, 2, 71, 142

GCD of numbers is the greatest common divisor

So, the GCD (322, 380, 748, 142) = 2.

Given numbers are 322, 380, 748, 142

The list of prime factors of all numbers are

Prime factors of 322 are 2 x 7 x 23

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 142 are 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 322, 380, 748, 142 is 2.

Given numbers are 322, 380, 748, 142

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

Apply this formula for all numbers.

Step1:

LCM(322, 380) = 61180

GCD(322, 380) = ( 322 x 380 ) / 61180

= 322 / 380

= 322

Step2:

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

= 2 / 748

= 2

Step3:

LCM(2, 142) = 142

GCD(2, 142) = ( 2 x 142 ) / 142

= 2 / 142

= 2

So, Greatest Common Divisor of 322, 380, 748, 142 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 419, 317, 155, 298
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• GCD of 501, 703, 402, 510
• GCD of 628, 632, 723, 205
• GCD of 454, 305, 508, 712

Given numbers are 322, 380, 748, 142
The greatest common divisor of numbers 322, 380, 748, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 322, 380, 748, 142 is 2.

1. What is the GCD of 322, 380, 748, 142?

GCD of given numbers 322, 380, 748, 142 is 2

2. How to calculate the greatest common divisor of 322, 380, 748, 142?

We can find the highest common divisor of 322, 380, 748, 142 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 322, 380, 748, 142 i.e 2.

3. How can I use the GCD of 322, 380, 748, 142Calculator?

Out the numbers 322, 380, 748, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.