GCD of 296, 882, 364, 710 Calculator

Given Input numbers are 296, 882, 364, 710

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

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 710 :

The positive integer divisors of 710 that completely divides 710 are.

1, 2, 5, 10, 71, 142, 355, 710

GCD of numbers is the greatest common divisor

So, the GCD (296, 882, 364, 710) = 2.

Given numbers are 296, 882, 364, 710

The list of prime factors of all numbers are

Prime factors of 296 are 2 x 2 x 2 x 37

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

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 710 are 2 x 5 x 71

The highest common occurrence is 2¹

Therefore, GCD of 296, 882, 364, 710 is 2.

Given numbers are 296, 882, 364, 710

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

Apply this formula for all numbers.

Step1:

LCM(296, 882) = 130536

GCD(296, 882) = ( 296 x 882 ) / 130536

= 296 / 882

= 296

Step2:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

Step3:

LCM(2, 710) = 710

GCD(2, 710) = ( 2 x 710 ) / 710

= 2 / 710

= 2

So, Greatest Common Divisor of 296, 882, 364, 710 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 625, 158, 714, 324
• GCD of 658, 465, 863, 789
• GCD of 989, 393, 771, 722
• GCD of 632, 755, 934, 538
• GCD of 483, 731, 286, 509

Given numbers are 296, 882, 364, 710
The greatest common divisor of numbers 296, 882, 364, 710 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 296, 882, 364, 710 is 2.

1. What is the GCD of 296, 882, 364, 710?

GCD of given numbers 296, 882, 364, 710 is 2

2. How to calculate the greatest common divisor of 296, 882, 364, 710?

We can find the highest common divisor of 296, 882, 364, 710 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 296, 882, 364, 710 i.e 2.

3. How can I use the GCD of 296, 882, 364, 710Calculator?

Out the numbers 296, 882, 364, 710 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.