GCD of 343, 217, 225, 952 Calculator

Given Input numbers are 343, 217, 225, 952

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 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

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

GCD of numbers is the greatest common divisor

So, the GCD (343, 217, 225, 952) = 1.

Given numbers are 343, 217, 225, 952

The list of prime factors of all numbers are

Prime factors of 343 are 7 x 7 x 7

Prime factors of 217 are 7 x 31

Prime factors of 225 are 3 x 3 x 5 x 5

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

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

Given numbers are 343, 217, 225, 952

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

Apply this formula for all numbers.

Step1:

LCM(343, 217) = 10633

GCD(343, 217) = ( 343 x 217 ) / 10633

= 343 / 217

= 343

Step2:

LCM(7, 225) = 1575

GCD(7, 225) = ( 7 x 225 ) / 1575

= 7 / 225

= 7

Step3:

LCM(1, 952) = 952

GCD(1, 952) = ( 1 x 952 ) / 952

= 1 / 952

= 1

So, Greatest Common Divisor of 343, 217, 225, 952 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 508, 237, 301, 971
• GCD of 821, 932, 527, 894
• GCD of 248, 336, 826, 816
• GCD of 361, 803, 338, 595
• GCD of 189, 796, 411, 176

Given numbers are 343, 217, 225, 952
The greatest common divisor of numbers 343, 217, 225, 952 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 343, 217, 225, 952 is 1.

1. What is the GCD of 343, 217, 225, 952?

GCD of given numbers 343, 217, 225, 952 is 1

2. How to calculate the greatest common divisor of 343, 217, 225, 952?

We can find the highest common divisor of 343, 217, 225, 952 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, 217, 225, 952 i.e 1.

3. How can I use the GCD of 343, 217, 225, 952Calculator?

Out the numbers 343, 217, 225, 952 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.