GCD of 141, 344, 456, 684 Calculator

Given Input numbers are 141, 344, 456, 684

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

Divisors of 141 :

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

1, 3, 47, 141

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (141, 344, 456, 684) = 1.

Given numbers are 141, 344, 456, 684

The list of prime factors of all numbers are

Prime factors of 141 are 3 x 47

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

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

Given numbers are 141, 344, 456, 684

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

Apply this formula for all numbers.

Step1:

LCM(141, 344) = 48504

GCD(141, 344) = ( 141 x 344 ) / 48504

= 141 / 344

= 141

Step2:

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

= 1 / 456

= 1

Step3:

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

= 1 / 684

= 1

So, Greatest Common Divisor of 141, 344, 456, 684 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 560, 540, 620, 156
• GCD of 770, 120, 419, 777
• GCD of 788, 511, 941, 531
• GCD of 272, 132, 146, 600
• GCD of 981, 529, 653, 874

Given numbers are 141, 344, 456, 684
The greatest common divisor of numbers 141, 344, 456, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 141, 344, 456, 684 is 1.

1. What is the GCD of 141, 344, 456, 684?

GCD of given numbers 141, 344, 456, 684 is 1

2. How to calculate the greatest common divisor of 141, 344, 456, 684?

We can find the highest common divisor of 141, 344, 456, 684 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 141, 344, 456, 684 i.e 1.

3. How can I use the GCD of 141, 344, 456, 684Calculator?

Out the numbers 141, 344, 456, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.