GCD of 918, 505, 115, 343 Calculator

Given Input numbers are 918, 505, 115, 343

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

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 115 :

The positive integer divisors of 115 that completely divides 115 are.

1, 5, 23, 115

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 (918, 505, 115, 343) = 1.

Given numbers are 918, 505, 115, 343

The list of prime factors of all numbers are

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 505 are 5 x 101

Prime factors of 115 are 5 x 23

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 918, 505, 115, 343

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

Apply this formula for all numbers.

Step1:

LCM(918, 505) = 463590

GCD(918, 505) = ( 918 x 505 ) / 463590

= 918 / 505

= 918

Step2:

LCM(1, 115) = 115

GCD(1, 115) = ( 1 x 115 ) / 115

= 1 / 115

= 1

Step3:

LCM(1, 343) = 343

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

= 1 / 343

= 1

So, Greatest Common Divisor of 918, 505, 115, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 617, 801, 190, 183
• GCD of 398, 112, 132, 910
• GCD of 706, 778, 593, 209
• GCD of 321, 868, 881, 815
• GCD of 576, 926, 890, 871

Given numbers are 918, 505, 115, 343
The greatest common divisor of numbers 918, 505, 115, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 505, 115, 343 is 1.

1. What is the GCD of 918, 505, 115, 343?

GCD of given numbers 918, 505, 115, 343 is 1

2. How to calculate the greatest common divisor of 918, 505, 115, 343?

We can find the highest common divisor of 918, 505, 115, 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 918, 505, 115, 343 i.e 1.

3. How can I use the GCD of 918, 505, 115, 343Calculator?

Out the numbers 918, 505, 115, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.