GCD of 314, 348, 690, 100 Calculator

Given Input numbers are 314, 348, 690, 100

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

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 100 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (314, 348, 690, 100) = 2.

Given numbers are 314, 348, 690, 100

The list of prime factors of all numbers are

Prime factors of 314 are 2 x 157

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 690 are 2 x 3 x 5 x 23

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

The highest common occurrence is 2¹

Therefore, GCD of 314, 348, 690, 100 is 2.

Given numbers are 314, 348, 690, 100

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

Apply this formula for all numbers.

Step1:

LCM(314, 348) = 54636

GCD(314, 348) = ( 314 x 348 ) / 54636

= 314 / 348

= 314

Step2:

LCM(2, 690) = 690

GCD(2, 690) = ( 2 x 690 ) / 690

= 2 / 690

= 2

Step3:

LCM(2, 100) = 100

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

= 2 / 100

= 2

So, Greatest Common Divisor of 314, 348, 690, 100 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 355, 948, 665, 140
• GCD of 687, 655, 885, 275
• GCD of 775, 965, 240, 279
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• GCD of 318, 243, 831, 849

Given numbers are 314, 348, 690, 100
The greatest common divisor of numbers 314, 348, 690, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 348, 690, 100 is 2.

1. What is the GCD of 314, 348, 690, 100?

GCD of given numbers 314, 348, 690, 100 is 2

2. How to calculate the greatest common divisor of 314, 348, 690, 100?

We can find the highest common divisor of 314, 348, 690, 100 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 314, 348, 690, 100 i.e 2.

3. How can I use the GCD of 314, 348, 690, 100Calculator?

Out the numbers 314, 348, 690, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.