GCD of 814, 874, 892, 708 Calculator

Given Input numbers are 814, 874, 892, 708

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

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

GCD of numbers is the greatest common divisor

So, the GCD (814, 874, 892, 708) = 2.

Given numbers are 814, 874, 892, 708

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 874 are 2 x 19 x 23

Prime factors of 892 are 2 x 2 x 223

Prime factors of 708 are 2 x 2 x 3 x 59

The highest common occurrence is 2¹

Therefore, GCD of 814, 874, 892, 708 is 2.

Given numbers are 814, 874, 892, 708

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

Apply this formula for all numbers.

Step1:

LCM(814, 874) = 355718

GCD(814, 874) = ( 814 x 874 ) / 355718

= 814 / 874

= 814

Step2:

LCM(2, 892) = 892

GCD(2, 892) = ( 2 x 892 ) / 892

= 2 / 892

= 2

Step3:

LCM(2, 708) = 708

GCD(2, 708) = ( 2 x 708 ) / 708

= 2 / 708

= 2

So, Greatest Common Divisor of 814, 874, 892, 708 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 260, 988, 145, 797
• GCD of 114, 631, 698, 571
• GCD of 749, 964, 363, 933
• GCD of 745, 164, 209, 306
• GCD of 709, 925, 343, 612

Given numbers are 814, 874, 892, 708
The greatest common divisor of numbers 814, 874, 892, 708 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 874, 892, 708 is 2.

1. What is the GCD of 814, 874, 892, 708?

GCD of given numbers 814, 874, 892, 708 is 2

2. How to calculate the greatest common divisor of 814, 874, 892, 708?

We can find the highest common divisor of 814, 874, 892, 708 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 814, 874, 892, 708 i.e 2.

3. How can I use the GCD of 814, 874, 892, 708Calculator?

Out the numbers 814, 874, 892, 708 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.