GCD of 360, 734, 94, 998 Calculator

Given Input numbers are 360, 734, 94, 998

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

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

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 94 :

The positive integer divisors of 94 that completely divides 94 are.

1, 2, 47, 94

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

GCD of numbers is the greatest common divisor

So, the GCD (360, 734, 94, 998) = 2.

Given numbers are 360, 734, 94, 998

The list of prime factors of all numbers are

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

Prime factors of 734 are 2 x 367

Prime factors of 94 are 2 x 47

Prime factors of 998 are 2 x 499

The highest common occurrence is 2¹

Therefore, GCD of 360, 734, 94, 998 is 2.

Given numbers are 360, 734, 94, 998

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

Apply this formula for all numbers.

Step1:

LCM(360, 734) = 132120

GCD(360, 734) = ( 360 x 734 ) / 132120

= 360 / 734

= 360

Step2:

LCM(2, 94) = 94

GCD(2, 94) = ( 2 x 94 ) / 94

= 2 / 94

= 2

Step3:

LCM(2, 998) = 998

GCD(2, 998) = ( 2 x 998 ) / 998

= 2 / 998

= 2

So, Greatest Common Divisor of 360, 734, 94, 998 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 804, 744, 59, 273
• GCD of 840, 206, 40, 666
• GCD of 389, 783, 97, 593
• GCD of 353, 982, 83, 575
• GCD of 811, 778, 66, 457

Given numbers are 360, 734, 94, 998
The greatest common divisor of numbers 360, 734, 94, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 734, 94, 998 is 2.

1. What is the GCD of 360, 734, 94, 998?

GCD of given numbers 360, 734, 94, 998 is 2

2. How to calculate the greatest common divisor of 360, 734, 94, 998?

We can find the highest common divisor of 360, 734, 94, 998 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 360, 734, 94, 998 i.e 2.

3. How can I use the GCD of 360, 734, 94, 998Calculator?

Out the numbers 360, 734, 94, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.