GCD of 714, 168, 280, 828 Calculator

Given Input numbers are 714, 168, 280, 828

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 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (714, 168, 280, 828) = 2.

Given numbers are 714, 168, 280, 828

The list of prime factors of all numbers are

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

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 714, 168, 280, 828 is 2.

Given numbers are 714, 168, 280, 828

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

Apply this formula for all numbers.

Step1:

LCM(714, 168) = 2856

GCD(714, 168) = ( 714 x 168 ) / 2856

= 714 / 168

= 714

Step2:

LCM(42, 280) = 840

GCD(42, 280) = ( 42 x 280 ) / 840

= 42 / 280

= 42

Step3:

LCM(14, 828) = 5796

GCD(14, 828) = ( 14 x 828 ) / 5796

= 14 / 828

= 14

So, Greatest Common Divisor of 714, 168, 280, 828 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 475, 183, 849, 963
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• GCD of 719, 752, 307, 958

Given numbers are 714, 168, 280, 828
The greatest common divisor of numbers 714, 168, 280, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 168, 280, 828 is 2.

1. What is the GCD of 714, 168, 280, 828?

GCD of given numbers 714, 168, 280, 828 is 2

2. How to calculate the greatest common divisor of 714, 168, 280, 828?

We can find the highest common divisor of 714, 168, 280, 828 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, 168, 280, 828 i.e 2.

3. How can I use the GCD of 714, 168, 280, 828Calculator?

Out the numbers 714, 168, 280, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.