GCD of 514, 140, 162, 672 Calculator

Given Input numbers are 514, 140, 162, 672

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 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

GCD of numbers is the greatest common divisor

So, the GCD (514, 140, 162, 672) = 2.

Given numbers are 514, 140, 162, 672

The list of prime factors of all numbers are

Prime factors of 514 are 2 x 257

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 514, 140, 162, 672 is 2.

Given numbers are 514, 140, 162, 672

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

Apply this formula for all numbers.

Step1:

LCM(514, 140) = 35980

GCD(514, 140) = ( 514 x 140 ) / 35980

= 514 / 140

= 514

Step2:

LCM(2, 162) = 162

GCD(2, 162) = ( 2 x 162 ) / 162

= 2 / 162

= 2

Step3:

LCM(2, 672) = 672

GCD(2, 672) = ( 2 x 672 ) / 672

= 2 / 672

= 2

So, Greatest Common Divisor of 514, 140, 162, 672 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 222, 112, 323, 181
• GCD of 391, 270, 913, 244
• GCD of 852, 456, 952, 578
• GCD of 453, 752, 465, 593
• GCD of 568, 755, 510, 847

Given numbers are 514, 140, 162, 672
The greatest common divisor of numbers 514, 140, 162, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 514, 140, 162, 672 is 2.

1. What is the GCD of 514, 140, 162, 672?

GCD of given numbers 514, 140, 162, 672 is 2

2. How to calculate the greatest common divisor of 514, 140, 162, 672?

We can find the highest common divisor of 514, 140, 162, 672 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, 140, 162, 672 i.e 2.

3. How can I use the GCD of 514, 140, 162, 672Calculator?

Out the numbers 514, 140, 162, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.