GCD of 495, 790, 760, 250 Calculator

Given Input numbers are 495, 790, 760, 250

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

Divisors of 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 250 :

The positive integer divisors of 250 that completely divides 250 are.

1, 2, 5, 10, 25, 50, 125, 250

GCD of numbers is the greatest common divisor

So, the GCD (495, 790, 760, 250) = 5.

Given numbers are 495, 790, 760, 250

The list of prime factors of all numbers are

Prime factors of 495 are 3 x 3 x 5 x 11

Prime factors of 790 are 2 x 5 x 79

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 250 are 2 x 5 x 5 x 5

The highest common occurrence is 5¹

Therefore, GCD of 495, 790, 760, 250 is 5.

Given numbers are 495, 790, 760, 250

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

Apply this formula for all numbers.

Step1:

LCM(495, 790) = 78210

GCD(495, 790) = ( 495 x 790 ) / 78210

= 495 / 790

= 495

Step2:

LCM(5, 760) = 760

GCD(5, 760) = ( 5 x 760 ) / 760

= 5 / 760

= 5

Step3:

LCM(5, 250) = 250

GCD(5, 250) = ( 5 x 250 ) / 250

= 5 / 250

= 5

So, Greatest Common Divisor of 495, 790, 760, 250 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 926, 215, 600, 367
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Given numbers are 495, 790, 760, 250
The greatest common divisor of numbers 495, 790, 760, 250 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 495, 790, 760, 250 is 5.

1. What is the GCD of 495, 790, 760, 250?

GCD of given numbers 495, 790, 760, 250 is 5

2. How to calculate the greatest common divisor of 495, 790, 760, 250?

We can find the highest common divisor of 495, 790, 760, 250 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 495, 790, 760, 250 i.e 5.

3. How can I use the GCD of 495, 790, 760, 250Calculator?

Out the numbers 495, 790, 760, 250 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.