GCD of 314, 724, 990, 882 Calculator

Given Input numbers are 314, 724, 990, 882

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

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

GCD of numbers is the greatest common divisor

So, the GCD (314, 724, 990, 882) = 2.

Given numbers are 314, 724, 990, 882

The list of prime factors of all numbers are

Prime factors of 314 are 2 x 157

Prime factors of 724 are 2 x 2 x 181

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 314, 724, 990, 882 is 2.

Given numbers are 314, 724, 990, 882

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

Apply this formula for all numbers.

Step1:

LCM(314, 724) = 113668

GCD(314, 724) = ( 314 x 724 ) / 113668

= 314 / 724

= 314

Step2:

LCM(2, 990) = 990

GCD(2, 990) = ( 2 x 990 ) / 990

= 2 / 990

= 2

Step3:

LCM(2, 882) = 882

GCD(2, 882) = ( 2 x 882 ) / 882

= 2 / 882

= 2

So, Greatest Common Divisor of 314, 724, 990, 882 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 123, 283, 946, 763
• GCD of 818, 261, 969, 262
• GCD of 171, 947, 900, 289
• GCD of 645, 630, 980, 793
• GCD of 992, 330, 430, 138

Given numbers are 314, 724, 990, 882
The greatest common divisor of numbers 314, 724, 990, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 724, 990, 882 is 2.

1. What is the GCD of 314, 724, 990, 882?

GCD of given numbers 314, 724, 990, 882 is 2

2. How to calculate the greatest common divisor of 314, 724, 990, 882?

We can find the highest common divisor of 314, 724, 990, 882 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 314, 724, 990, 882 i.e 2.

3. How can I use the GCD of 314, 724, 990, 882Calculator?

Out the numbers 314, 724, 990, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.