GCD of 343, 214, 731, 141 Calculator

Given Input numbers are 343, 214, 731, 141

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

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

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 (343, 214, 731, 141) = 1.

Given numbers are 343, 214, 731, 141

The list of prime factors of all numbers are

Prime factors of 343 are 7 x 7 x 7

Prime factors of 214 are 2 x 107

Prime factors of 731 are 17 x 43

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 343, 214, 731, 141

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

Apply this formula for all numbers.

Step1:

LCM(343, 214) = 73402

GCD(343, 214) = ( 343 x 214 ) / 73402

= 343 / 214

= 343

Step2:

LCM(1, 731) = 731

GCD(1, 731) = ( 1 x 731 ) / 731

= 1 / 731

= 1

Step3:

LCM(1, 141) = 141

GCD(1, 141) = ( 1 x 141 ) / 141

= 1 / 141

= 1

So, Greatest Common Divisor of 343, 214, 731, 141 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 661, 303, 950, 877
• GCD of 341, 694, 970, 810
• GCD of 696, 850, 602, 634
• GCD of 462, 493, 298, 240
• GCD of 168, 776, 494, 570

Given numbers are 343, 214, 731, 141
The greatest common divisor of numbers 343, 214, 731, 141 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 343, 214, 731, 141 is 1.

1. What is the GCD of 343, 214, 731, 141?

GCD of given numbers 343, 214, 731, 141 is 1

2. How to calculate the greatest common divisor of 343, 214, 731, 141?

We can find the highest common divisor of 343, 214, 731, 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 343, 214, 731, 141 i.e 1.

3. How can I use the GCD of 343, 214, 731, 141Calculator?

Out the numbers 343, 214, 731, 141 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.