GCD of 882, 766, 714, 440 Calculator

Given Input numbers are 882, 766, 714, 440

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 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

GCD of numbers is the greatest common divisor

So, the GCD (882, 766, 714, 440) = 2.

Given numbers are 882, 766, 714, 440

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 766 are 2 x 383

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 882, 766, 714, 440 is 2.

Given numbers are 882, 766, 714, 440

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

Apply this formula for all numbers.

Step1:

LCM(882, 766) = 337806

GCD(882, 766) = ( 882 x 766 ) / 337806

= 882 / 766

= 882

Step2:

LCM(2, 714) = 714

GCD(2, 714) = ( 2 x 714 ) / 714

= 2 / 714

= 2

Step3:

LCM(2, 440) = 440

GCD(2, 440) = ( 2 x 440 ) / 440

= 2 / 440

= 2

So, Greatest Common Divisor of 882, 766, 714, 440 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 954, 270, 560, 450
• GCD of 221, 590, 263, 305
• GCD of 955, 616, 447, 426
• GCD of 179, 757, 567, 664
• GCD of 237, 607, 672, 982

Given numbers are 882, 766, 714, 440
The greatest common divisor of numbers 882, 766, 714, 440 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 882, 766, 714, 440 is 2.

1. What is the GCD of 882, 766, 714, 440?

GCD of given numbers 882, 766, 714, 440 is 2

2. How to calculate the greatest common divisor of 882, 766, 714, 440?

We can find the highest common divisor of 882, 766, 714, 440 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, 766, 714, 440 i.e 2.

3. How can I use the GCD of 882, 766, 714, 440Calculator?

Out the numbers 882, 766, 714, 440 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.