GCD of 992, 913, 343, 360 Calculator

Given Input numbers are 992, 913, 343, 360

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

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 913 :

The positive integer divisors of 913 that completely divides 913 are.

1, 11, 83, 913

Divisors of 343 :

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

1, 7, 49, 343

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (992, 913, 343, 360) = 1.

Given numbers are 992, 913, 343, 360

The list of prime factors of all numbers are

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

Prime factors of 913 are 11 x 83

Prime factors of 343 are 7 x 7 x 7

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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

Given numbers are 992, 913, 343, 360

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

Apply this formula for all numbers.

Step1:

LCM(992, 913) = 905696

GCD(992, 913) = ( 992 x 913 ) / 905696

= 992 / 913

= 992

Step2:

LCM(1, 343) = 343

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

= 1 / 343

= 1

Step3:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

So, Greatest Common Divisor of 992, 913, 343, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 413, 982, 904, 237
• GCD of 225, 492, 390, 557
• GCD of 292, 170, 947, 380
• GCD of 433, 716, 715, 404
• GCD of 224, 970, 298, 558

Given numbers are 992, 913, 343, 360
The greatest common divisor of numbers 992, 913, 343, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 992, 913, 343, 360 is 1.

1. What is the GCD of 992, 913, 343, 360?

GCD of given numbers 992, 913, 343, 360 is 1

2. How to calculate the greatest common divisor of 992, 913, 343, 360?

We can find the highest common divisor of 992, 913, 343, 360 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 992, 913, 343, 360 i.e 1.

3. How can I use the GCD of 992, 913, 343, 360Calculator?

Out the numbers 992, 913, 343, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.