GCD of 452, 708, 730, 343 Calculator

Given Input numbers are 452, 708, 730, 343

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

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 343 :

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

1, 7, 49, 343

GCD of numbers is the greatest common divisor

So, the GCD (452, 708, 730, 343) = 1.

Given numbers are 452, 708, 730, 343

The list of prime factors of all numbers are

Prime factors of 452 are 2 x 2 x 113

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 730 are 2 x 5 x 73

Prime factors of 343 are 7 x 7 x 7

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

Given numbers are 452, 708, 730, 343

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

Apply this formula for all numbers.

Step1:

LCM(452, 708) = 80004

GCD(452, 708) = ( 452 x 708 ) / 80004

= 452 / 708

= 452

Step2:

LCM(4, 730) = 1460

GCD(4, 730) = ( 4 x 730 ) / 1460

= 4 / 730

= 4

Step3:

LCM(2, 343) = 686

GCD(2, 343) = ( 2 x 343 ) / 686

= 2 / 343

= 2

So, Greatest Common Divisor of 452, 708, 730, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 138, 393, 693, 983
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• GCD of 953, 224, 243, 448
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• GCD of 889, 901, 421, 865

Given numbers are 452, 708, 730, 343
The greatest common divisor of numbers 452, 708, 730, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 452, 708, 730, 343 is 1.

1. What is the GCD of 452, 708, 730, 343?

GCD of given numbers 452, 708, 730, 343 is 1

2. How to calculate the greatest common divisor of 452, 708, 730, 343?

We can find the highest common divisor of 452, 708, 730, 343 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 452, 708, 730, 343 i.e 1.

3. How can I use the GCD of 452, 708, 730, 343Calculator?

Out the numbers 452, 708, 730, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.