GCD of 714, 440, 238, 676 Calculator

Given Input numbers are 714, 440, 238, 676

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

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

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

GCD of numbers is the greatest common divisor

So, the GCD (714, 440, 238, 676) = 2.

Given numbers are 714, 440, 238, 676

The list of prime factors of all numbers are

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

Prime factors of 238 are 2 x 7 x 17

Prime factors of 676 are 2 x 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 714, 440, 238, 676 is 2.

Given numbers are 714, 440, 238, 676

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

Apply this formula for all numbers.

Step1:

LCM(714, 440) = 157080

GCD(714, 440) = ( 714 x 440 ) / 157080

= 714 / 440

= 714

Step2:

LCM(2, 238) = 238

GCD(2, 238) = ( 2 x 238 ) / 238

= 2 / 238

= 2

Step3:

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

= 2 / 676

= 2

So, Greatest Common Divisor of 714, 440, 238, 676 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 473, 128, 556, 966
• GCD of 964, 756, 609, 575
• GCD of 794, 922, 937, 556
• GCD of 122, 153, 416, 455
• GCD of 267, 150, 168, 788

Given numbers are 714, 440, 238, 676
The greatest common divisor of numbers 714, 440, 238, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 440, 238, 676 is 2.

1. What is the GCD of 714, 440, 238, 676?

GCD of given numbers 714, 440, 238, 676 is 2

2. How to calculate the greatest common divisor of 714, 440, 238, 676?

We can find the highest common divisor of 714, 440, 238, 676 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 714, 440, 238, 676 i.e 2.

3. How can I use the GCD of 714, 440, 238, 676Calculator?

Out the numbers 714, 440, 238, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.