GCD of 314, 214, 220, 265 Calculator

Given Input numbers are 314, 214, 220, 265

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 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 265 :

The positive integer divisors of 265 that completely divides 265 are.

1, 5, 53, 265

GCD of numbers is the greatest common divisor

So, the GCD (314, 214, 220, 265) = 1.

Given numbers are 314, 214, 220, 265

The list of prime factors of all numbers are

Prime factors of 314 are 2 x 157

Prime factors of 214 are 2 x 107

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 265 are 5 x 53

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 314, 214, 220, 265

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

Apply this formula for all numbers.

Step1:

LCM(314, 214) = 33598

GCD(314, 214) = ( 314 x 214 ) / 33598

= 314 / 214

= 314

Step2:

LCM(2, 220) = 220

GCD(2, 220) = ( 2 x 220 ) / 220

= 2 / 220

= 2

Step3:

LCM(2, 265) = 530

GCD(2, 265) = ( 2 x 265 ) / 530

= 2 / 265

= 2

So, Greatest Common Divisor of 314, 214, 220, 265 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 960, 392, 471, 592
• GCD of 967, 194, 695, 850
• GCD of 672, 839, 294, 351
• GCD of 326, 850, 340, 325
• GCD of 572, 950, 895, 674

Given numbers are 314, 214, 220, 265
The greatest common divisor of numbers 314, 214, 220, 265 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 214, 220, 265 is 1.

1. What is the GCD of 314, 214, 220, 265?

GCD of given numbers 314, 214, 220, 265 is 1

2. How to calculate the greatest common divisor of 314, 214, 220, 265?

We can find the highest common divisor of 314, 214, 220, 265 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, 214, 220, 265 i.e 1.

3. How can I use the GCD of 314, 214, 220, 265Calculator?

Out the numbers 314, 214, 220, 265 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.