GCD of 464, 461, 507, 343 Calculator

Given Input numbers are 464, 461, 507, 343

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

Divisors of 464 :

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

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

Divisors of 461 :

The positive integer divisors of 461 that completely divides 461 are.

1, 461

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

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 (464, 461, 507, 343) = 1.

Given numbers are 464, 461, 507, 343

The list of prime factors of all numbers are

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

Prime factors of 461 are 461

Prime factors of 507 are 3 x 13 x 13

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 464, 461, 507, 343

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

Apply this formula for all numbers.

Step1:

LCM(464, 461) = 213904

GCD(464, 461) = ( 464 x 461 ) / 213904

= 464 / 461

= 464

Step2:

LCM(1, 507) = 507

GCD(1, 507) = ( 1 x 507 ) / 507

= 1 / 507

= 1

Step3:

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

= 1 / 343

= 1

So, Greatest Common Divisor of 464, 461, 507, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 157, 219, 867, 619
• GCD of 137, 690, 192, 414
• GCD of 260, 808, 641, 578
• GCD of 810, 527, 202, 965
• GCD of 574, 892, 343, 543

Given numbers are 464, 461, 507, 343
The greatest common divisor of numbers 464, 461, 507, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 464, 461, 507, 343 is 1.

1. What is the GCD of 464, 461, 507, 343?

GCD of given numbers 464, 461, 507, 343 is 1

2. How to calculate the greatest common divisor of 464, 461, 507, 343?

We can find the highest common divisor of 464, 461, 507, 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 464, 461, 507, 343 i.e 1.

3. How can I use the GCD of 464, 461, 507, 343Calculator?

Out the numbers 464, 461, 507, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.