GCD of 746, 150, 514, 838 Calculator

Given Input numbers are 746, 150, 514, 838

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

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 514 :

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

1, 2, 257, 514

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

GCD of numbers is the greatest common divisor

So, the GCD (746, 150, 514, 838) = 2.

Given numbers are 746, 150, 514, 838

The list of prime factors of all numbers are

Prime factors of 746 are 2 x 373

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 514 are 2 x 257

Prime factors of 838 are 2 x 419

The highest common occurrence is 2¹

Therefore, GCD of 746, 150, 514, 838 is 2.

Given numbers are 746, 150, 514, 838

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

Apply this formula for all numbers.

Step1:

LCM(746, 150) = 55950

GCD(746, 150) = ( 746 x 150 ) / 55950

= 746 / 150

= 746

Step2:

LCM(2, 514) = 514

GCD(2, 514) = ( 2 x 514 ) / 514

= 2 / 514

= 2

Step3:

LCM(2, 838) = 838

GCD(2, 838) = ( 2 x 838 ) / 838

= 2 / 838

= 2

So, Greatest Common Divisor of 746, 150, 514, 838 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 723, 595, 171, 341
• GCD of 970, 555, 520, 152
• GCD of 272, 657, 443, 256
• GCD of 735, 185, 368, 475
• GCD of 837, 654, 382, 855

Given numbers are 746, 150, 514, 838
The greatest common divisor of numbers 746, 150, 514, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 150, 514, 838 is 2.

1. What is the GCD of 746, 150, 514, 838?

GCD of given numbers 746, 150, 514, 838 is 2

2. How to calculate the greatest common divisor of 746, 150, 514, 838?

We can find the highest common divisor of 746, 150, 514, 838 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 746, 150, 514, 838 i.e 2.

3. How can I use the GCD of 746, 150, 514, 838Calculator?

Out the numbers 746, 150, 514, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.