GCD of 714, 474, 842, 788 Calculator

Given Input numbers are 714, 474, 842, 788

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 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

GCD of numbers is the greatest common divisor

So, the GCD (714, 474, 842, 788) = 2.

Given numbers are 714, 474, 842, 788

The list of prime factors of all numbers are

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

Prime factors of 474 are 2 x 3 x 79

Prime factors of 842 are 2 x 421

Prime factors of 788 are 2 x 2 x 197

The highest common occurrence is 2¹

Therefore, GCD of 714, 474, 842, 788 is 2.

Given numbers are 714, 474, 842, 788

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

Apply this formula for all numbers.

Step1:

LCM(714, 474) = 56406

GCD(714, 474) = ( 714 x 474 ) / 56406

= 714 / 474

= 714

Step2:

LCM(6, 842) = 2526

GCD(6, 842) = ( 6 x 842 ) / 2526

= 6 / 842

= 6

Step3:

LCM(2, 788) = 788

GCD(2, 788) = ( 2 x 788 ) / 788

= 2 / 788

= 2

So, Greatest Common Divisor of 714, 474, 842, 788 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 138, 254, 874, 958
• GCD of 886, 957, 229, 894
• GCD of 606, 184, 173, 230
• GCD of 293, 940, 475, 282
• GCD of 455, 374, 191, 475

Given numbers are 714, 474, 842, 788
The greatest common divisor of numbers 714, 474, 842, 788 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 474, 842, 788 is 2.

1. What is the GCD of 714, 474, 842, 788?

GCD of given numbers 714, 474, 842, 788 is 2

2. How to calculate the greatest common divisor of 714, 474, 842, 788?

We can find the highest common divisor of 714, 474, 842, 788 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, 474, 842, 788 i.e 2.

3. How can I use the GCD of 714, 474, 842, 788Calculator?

Out the numbers 714, 474, 842, 788 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.