GCD of 343, 952, 538, 464 Calculator

Given Input numbers are 343, 952, 538, 464

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 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

GCD of numbers is the greatest common divisor

So, the GCD (343, 952, 538, 464) = 1.

Given numbers are 343, 952, 538, 464

The list of prime factors of all numbers are

Prime factors of 343 are 7 x 7 x 7

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

Prime factors of 538 are 2 x 269

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

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

Given numbers are 343, 952, 538, 464

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

Apply this formula for all numbers.

Step1:

LCM(343, 952) = 46648

GCD(343, 952) = ( 343 x 952 ) / 46648

= 343 / 952

= 343

Step2:

LCM(7, 538) = 3766

GCD(7, 538) = ( 7 x 538 ) / 3766

= 7 / 538

= 7

Step3:

LCM(1, 464) = 464

GCD(1, 464) = ( 1 x 464 ) / 464

= 1 / 464

= 1

So, Greatest Common Divisor of 343, 952, 538, 464 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 274, 290, 573, 570
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• GCD of 520, 861, 749, 213
• GCD of 217, 318, 177, 301
• GCD of 914, 395, 891, 209

Given numbers are 343, 952, 538, 464
The greatest common divisor of numbers 343, 952, 538, 464 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 343, 952, 538, 464 is 1.

1. What is the GCD of 343, 952, 538, 464?

GCD of given numbers 343, 952, 538, 464 is 1

2. How to calculate the greatest common divisor of 343, 952, 538, 464?

We can find the highest common divisor of 343, 952, 538, 464 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, 952, 538, 464 i.e 1.

3. How can I use the GCD of 343, 952, 538, 464Calculator?

Out the numbers 343, 952, 538, 464 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.