GCD of 738, 316, 354, 141 Calculator

Given Input numbers are 738, 316, 354, 141

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 141 :

The positive integer divisors of 141 that completely divides 141 are.

1, 3, 47, 141

GCD of numbers is the greatest common divisor

So, the GCD (738, 316, 354, 141) = 1.

Given numbers are 738, 316, 354, 141

The list of prime factors of all numbers are

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 316 are 2 x 2 x 79

Prime factors of 354 are 2 x 3 x 59

Prime factors of 141 are 3 x 47

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

Given numbers are 738, 316, 354, 141

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

Apply this formula for all numbers.

Step1:

LCM(738, 316) = 116604

GCD(738, 316) = ( 738 x 316 ) / 116604

= 738 / 316

= 738

Step2:

LCM(2, 354) = 354

GCD(2, 354) = ( 2 x 354 ) / 354

= 2 / 354

= 2

Step3:

LCM(2, 141) = 282

GCD(2, 141) = ( 2 x 141 ) / 282

= 2 / 141

= 2

So, Greatest Common Divisor of 738, 316, 354, 141 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 387, 218, 169, 420
• GCD of 251, 731, 724, 987
• GCD of 561, 231, 573, 569
• GCD of 770, 107, 989, 566
• GCD of 850, 503, 187, 680

Given numbers are 738, 316, 354, 141
The greatest common divisor of numbers 738, 316, 354, 141 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 316, 354, 141 is 1.

1. What is the GCD of 738, 316, 354, 141?

GCD of given numbers 738, 316, 354, 141 is 1

2. How to calculate the greatest common divisor of 738, 316, 354, 141?

We can find the highest common divisor of 738, 316, 354, 141 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 738, 316, 354, 141 i.e 1.

3. How can I use the GCD of 738, 316, 354, 141Calculator?

Out the numbers 738, 316, 354, 141 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.