GCD of 882, 118, 208, 724 Calculator

Given Input numbers are 882, 118, 208, 724

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

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 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 724 :

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

1, 2, 4, 181, 362, 724

GCD of numbers is the greatest common divisor

So, the GCD (882, 118, 208, 724) = 2.

Given numbers are 882, 118, 208, 724

The list of prime factors of all numbers are

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

Prime factors of 118 are 2 x 59

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 724 are 2 x 2 x 181

The highest common occurrence is 2¹

Therefore, GCD of 882, 118, 208, 724 is 2.

Given numbers are 882, 118, 208, 724

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

Apply this formula for all numbers.

Step1:

LCM(882, 118) = 52038

GCD(882, 118) = ( 882 x 118 ) / 52038

= 882 / 118

= 882

Step2:

LCM(2, 208) = 208

GCD(2, 208) = ( 2 x 208 ) / 208

= 2 / 208

= 2

Step3:

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

= 2 / 724

= 2

So, Greatest Common Divisor of 882, 118, 208, 724 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 461, 146, 512, 408
• GCD of 662, 549, 107, 853
• GCD of 322, 839, 242, 654
• GCD of 704, 878, 592, 833
• GCD of 911, 601, 781, 748

Given numbers are 882, 118, 208, 724
The greatest common divisor of numbers 882, 118, 208, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 882, 118, 208, 724 is 2.

1. What is the GCD of 882, 118, 208, 724?

GCD of given numbers 882, 118, 208, 724 is 2

2. How to calculate the greatest common divisor of 882, 118, 208, 724?

We can find the highest common divisor of 882, 118, 208, 724 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 882, 118, 208, 724 i.e 2.

3. How can I use the GCD of 882, 118, 208, 724Calculator?

Out the numbers 882, 118, 208, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.