GCD of 758, 492, 146, 508 Calculator

Given Input numbers are 758, 492, 146, 508

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

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

GCD of numbers is the greatest common divisor

So, the GCD (758, 492, 146, 508) = 2.

Given numbers are 758, 492, 146, 508

The list of prime factors of all numbers are

Prime factors of 758 are 2 x 379

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 146 are 2 x 73

Prime factors of 508 are 2 x 2 x 127

The highest common occurrence is 2¹

Therefore, GCD of 758, 492, 146, 508 is 2.

Given numbers are 758, 492, 146, 508

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

Apply this formula for all numbers.

Step1:

LCM(758, 492) = 186468

GCD(758, 492) = ( 758 x 492 ) / 186468

= 758 / 492

= 758

Step2:

LCM(2, 146) = 146

GCD(2, 146) = ( 2 x 146 ) / 146

= 2 / 146

= 2

Step3:

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

= 2 / 508

= 2

So, Greatest Common Divisor of 758, 492, 146, 508 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 578, 613, 581, 236
• GCD of 120, 252, 639, 708
• GCD of 867, 753, 929, 418
• GCD of 313, 923, 750, 982
• GCD of 952, 763, 173, 476

Given numbers are 758, 492, 146, 508
The greatest common divisor of numbers 758, 492, 146, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 758, 492, 146, 508 is 2.

1. What is the GCD of 758, 492, 146, 508?

GCD of given numbers 758, 492, 146, 508 is 2

2. How to calculate the greatest common divisor of 758, 492, 146, 508?

We can find the highest common divisor of 758, 492, 146, 508 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 758, 492, 146, 508 i.e 2.

3. How can I use the GCD of 758, 492, 146, 508Calculator?

Out the numbers 758, 492, 146, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.