GCD of 354, 876, 882, 693 Calculator

Given Input numbers are 354, 876, 882, 693

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

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

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 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

GCD of numbers is the greatest common divisor

So, the GCD (354, 876, 882, 693) = 3.

Given numbers are 354, 876, 882, 693

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 876 are 2 x 2 x 3 x 73

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

Prime factors of 693 are 3 x 3 x 7 x 11

The highest common occurrence is 3¹

Therefore, GCD of 354, 876, 882, 693 is 3.

Given numbers are 354, 876, 882, 693

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

Apply this formula for all numbers.

Step1:

LCM(354, 876) = 51684

GCD(354, 876) = ( 354 x 876 ) / 51684

= 354 / 876

= 354

Step2:

LCM(6, 882) = 882

GCD(6, 882) = ( 6 x 882 ) / 882

= 6 / 882

= 6

Step3:

LCM(6, 693) = 1386

GCD(6, 693) = ( 6 x 693 ) / 1386

= 6 / 693

= 6

So, Greatest Common Divisor of 354, 876, 882, 693 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 278, 464, 760, 850
• GCD of 908, 424, 638, 304
• GCD of 195, 471, 146, 136
• GCD of 139, 251, 805, 951
• GCD of 863, 792, 314, 674

Given numbers are 354, 876, 882, 693
The greatest common divisor of numbers 354, 876, 882, 693 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 876, 882, 693 is 3.

1. What is the GCD of 354, 876, 882, 693?

GCD of given numbers 354, 876, 882, 693 is 3

2. How to calculate the greatest common divisor of 354, 876, 882, 693?

We can find the highest common divisor of 354, 876, 882, 693 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 354, 876, 882, 693 i.e 3.

3. How can I use the GCD of 354, 876, 882, 693Calculator?

Out the numbers 354, 876, 882, 693 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.