GCD of 338, 147, 755, 142 Calculator

Given Input numbers are 338, 147, 755, 142

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

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755

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 (338, 147, 755, 142) = 1.

Given numbers are 338, 147, 755, 142

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 147 are 3 x 7 x 7

Prime factors of 755 are 5 x 151

Prime factors of 142 are 2 x 71

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

Given numbers are 338, 147, 755, 142

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

Apply this formula for all numbers.

Step1:

LCM(338, 147) = 49686

GCD(338, 147) = ( 338 x 147 ) / 49686

= 338 / 147

= 338

Step2:

LCM(1, 755) = 755

GCD(1, 755) = ( 1 x 755 ) / 755

= 1 / 755

= 1

Step3:

LCM(1, 142) = 142

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

= 1 / 142

= 1

So, Greatest Common Divisor of 338, 147, 755, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 819, 255, 832, 198
• GCD of 839, 668, 835, 121
• GCD of 749, 767, 419, 166
• GCD of 852, 358, 757, 935
• GCD of 581, 622, 333, 572

Given numbers are 338, 147, 755, 142
The greatest common divisor of numbers 338, 147, 755, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 147, 755, 142 is 1.

1. What is the GCD of 338, 147, 755, 142?

GCD of given numbers 338, 147, 755, 142 is 1

2. How to calculate the greatest common divisor of 338, 147, 755, 142?

We can find the highest common divisor of 338, 147, 755, 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 338, 147, 755, 142 i.e 1.

3. How can I use the GCD of 338, 147, 755, 142Calculator?

Out the numbers 338, 147, 755, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.