GCD of 316, 278, 100, 884 Calculator

Given Input numbers are 316, 278, 100, 884

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

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 278 :

The positive integer divisors of 278 that completely divides 278 are.

1, 2, 139, 278

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 884 :

The positive integer divisors of 884 that completely divides 884 are.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

GCD of numbers is the greatest common divisor

So, the GCD (316, 278, 100, 884) = 2.

Given numbers are 316, 278, 100, 884

The list of prime factors of all numbers are

Prime factors of 316 are 2 x 2 x 79

Prime factors of 278 are 2 x 139

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 884 are 2 x 2 x 13 x 17

The highest common occurrence is 2¹

Therefore, GCD of 316, 278, 100, 884 is 2.

Given numbers are 316, 278, 100, 884

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

Apply this formula for all numbers.

Step1:

LCM(316, 278) = 43924

GCD(316, 278) = ( 316 x 278 ) / 43924

= 316 / 278

= 316

Step2:

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

= 2 / 100

= 2

Step3:

LCM(2, 884) = 884

GCD(2, 884) = ( 2 x 884 ) / 884

= 2 / 884

= 2

So, Greatest Common Divisor of 316, 278, 100, 884 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 715, 891, 647, 707
• GCD of 651, 770, 135, 398
• GCD of 178, 803, 928, 636
• GCD of 810, 659, 764, 688
• GCD of 164, 846, 391, 279

Given numbers are 316, 278, 100, 884
The greatest common divisor of numbers 316, 278, 100, 884 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 316, 278, 100, 884 is 2.

1. What is the GCD of 316, 278, 100, 884?

GCD of given numbers 316, 278, 100, 884 is 2

2. How to calculate the greatest common divisor of 316, 278, 100, 884?

We can find the highest common divisor of 316, 278, 100, 884 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 316, 278, 100, 884 i.e 2.

3. How can I use the GCD of 316, 278, 100, 884Calculator?

Out the numbers 316, 278, 100, 884 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.