GCD of 514, 676, 844, 350 Calculator

Given Input numbers are 514, 676, 844, 350

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

Divisors of 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

GCD of numbers is the greatest common divisor

So, the GCD (514, 676, 844, 350) = 2.

Given numbers are 514, 676, 844, 350

The list of prime factors of all numbers are

Prime factors of 514 are 2 x 257

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 844 are 2 x 2 x 211

Prime factors of 350 are 2 x 5 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 514, 676, 844, 350 is 2.

Given numbers are 514, 676, 844, 350

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

Apply this formula for all numbers.

Step1:

LCM(514, 676) = 173732

GCD(514, 676) = ( 514 x 676 ) / 173732

= 514 / 676

= 514

Step2:

LCM(2, 844) = 844

GCD(2, 844) = ( 2 x 844 ) / 844

= 2 / 844

= 2

Step3:

LCM(2, 350) = 350

GCD(2, 350) = ( 2 x 350 ) / 350

= 2 / 350

= 2

So, Greatest Common Divisor of 514, 676, 844, 350 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 736, 331, 567, 503
• GCD of 810, 782, 392, 197
• GCD of 169, 667, 854, 890
• GCD of 603, 158, 697, 717
• GCD of 635, 577, 384, 758

Given numbers are 514, 676, 844, 350
The greatest common divisor of numbers 514, 676, 844, 350 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 514, 676, 844, 350 is 2.

1. What is the GCD of 514, 676, 844, 350?

GCD of given numbers 514, 676, 844, 350 is 2

2. How to calculate the greatest common divisor of 514, 676, 844, 350?

We can find the highest common divisor of 514, 676, 844, 350 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 514, 676, 844, 350 i.e 2.

3. How can I use the GCD of 514, 676, 844, 350Calculator?

Out the numbers 514, 676, 844, 350 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.