GCD of 814, 786, 926, 988 Calculator

Given Input numbers are 814, 786, 926, 988

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 786 :

The positive integer divisors of 786 that completely divides 786 are.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 926 :

The positive integer divisors of 926 that completely divides 926 are.

1, 2, 463, 926

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

GCD of numbers is the greatest common divisor

So, the GCD (814, 786, 926, 988) = 2.

Given numbers are 814, 786, 926, 988

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 786 are 2 x 3 x 131

Prime factors of 926 are 2 x 463

Prime factors of 988 are 2 x 2 x 13 x 19

The highest common occurrence is 2¹

Therefore, GCD of 814, 786, 926, 988 is 2.

Given numbers are 814, 786, 926, 988

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

Apply this formula for all numbers.

Step1:

LCM(814, 786) = 319902

GCD(814, 786) = ( 814 x 786 ) / 319902

= 814 / 786

= 814

Step2:

LCM(2, 926) = 926

GCD(2, 926) = ( 2 x 926 ) / 926

= 2 / 926

= 2

Step3:

LCM(2, 988) = 988

GCD(2, 988) = ( 2 x 988 ) / 988

= 2 / 988

= 2

So, Greatest Common Divisor of 814, 786, 926, 988 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 800, 865, 170, 280
• GCD of 883, 845, 295, 592
• GCD of 715, 427, 874, 689
• GCD of 497, 715, 239, 450
• GCD of 884, 573, 714, 669

Given numbers are 814, 786, 926, 988
The greatest common divisor of numbers 814, 786, 926, 988 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 786, 926, 988 is 2.

1. What is the GCD of 814, 786, 926, 988?

GCD of given numbers 814, 786, 926, 988 is 2

2. How to calculate the greatest common divisor of 814, 786, 926, 988?

We can find the highest common divisor of 814, 786, 926, 988 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, 786, 926, 988 i.e 2.

3. How can I use the GCD of 814, 786, 926, 988Calculator?

Out the numbers 814, 786, 926, 988 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.