GCD of 714, 160, 400, 440 Calculator

Given Input numbers are 714, 160, 400, 440

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 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

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 (714, 160, 400, 440) = 2.

Given numbers are 714, 160, 400, 440

The list of prime factors of all numbers are

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

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

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

The highest common occurrence is 2¹

Therefore, GCD of 714, 160, 400, 440 is 2.

Given numbers are 714, 160, 400, 440

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

Apply this formula for all numbers.

Step1:

LCM(714, 160) = 57120

GCD(714, 160) = ( 714 x 160 ) / 57120

= 714 / 160

= 714

Step2:

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

= 2 / 400

= 2

Step3:

LCM(2, 440) = 440

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

= 2 / 440

= 2

So, Greatest Common Divisor of 714, 160, 400, 440 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 607, 910, 271, 102
• GCD of 383, 779, 362, 165
• GCD of 673, 431, 421, 922
• GCD of 318, 183, 538, 265
• GCD of 498, 764, 111, 338

Given numbers are 714, 160, 400, 440
The greatest common divisor of numbers 714, 160, 400, 440 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 160, 400, 440 is 2.

1. What is the GCD of 714, 160, 400, 440?

GCD of given numbers 714, 160, 400, 440 is 2

2. How to calculate the greatest common divisor of 714, 160, 400, 440?

We can find the highest common divisor of 714, 160, 400, 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 714, 160, 400, 440 i.e 2.

3. How can I use the GCD of 714, 160, 400, 440Calculator?

Out the numbers 714, 160, 400, 440 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.