GCD of 354, 882, 154, 652 Calculator

Given Input numbers are 354, 882, 154, 652

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 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 154 :

The positive integer divisors of 154 that completely divides 154 are.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

GCD of numbers is the greatest common divisor

So, the GCD (354, 882, 154, 652) = 2.

Given numbers are 354, 882, 154, 652

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

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

Prime factors of 154 are 2 x 7 x 11

Prime factors of 652 are 2 x 2 x 163

The highest common occurrence is 2¹

Therefore, GCD of 354, 882, 154, 652 is 2.

Given numbers are 354, 882, 154, 652

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

Apply this formula for all numbers.

Step1:

LCM(354, 882) = 52038

GCD(354, 882) = ( 354 x 882 ) / 52038

= 354 / 882

= 354

Step2:

LCM(6, 154) = 462

GCD(6, 154) = ( 6 x 154 ) / 462

= 6 / 154

= 6

Step3:

LCM(2, 652) = 652

GCD(2, 652) = ( 2 x 652 ) / 652

= 2 / 652

= 2

So, Greatest Common Divisor of 354, 882, 154, 652 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 762, 141, 795, 850
• GCD of 206, 271, 552, 421
• GCD of 922, 624, 211, 715
• GCD of 984, 217, 813, 796
• GCD of 354, 371, 293, 590

Given numbers are 354, 882, 154, 652
The greatest common divisor of numbers 354, 882, 154, 652 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 882, 154, 652 is 2.

1. What is the GCD of 354, 882, 154, 652?

GCD of given numbers 354, 882, 154, 652 is 2

2. How to calculate the greatest common divisor of 354, 882, 154, 652?

We can find the highest common divisor of 354, 882, 154, 652 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, 882, 154, 652 i.e 2.

3. How can I use the GCD of 354, 882, 154, 652Calculator?

Out the numbers 354, 882, 154, 652 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.