GCD of 488, 767, 414, 949 Calculator

Given Input numbers are 488, 767, 414, 949

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

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 767 :

The positive integer divisors of 767 that completely divides 767 are.

1, 13, 59, 767

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 949 :

The positive integer divisors of 949 that completely divides 949 are.

1, 13, 73, 949

GCD of numbers is the greatest common divisor

So, the GCD (488, 767, 414, 949) = 1.

Given numbers are 488, 767, 414, 949

The list of prime factors of all numbers are

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 767 are 13 x 59

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 949 are 13 x 73

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 488, 767, 414, 949

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

Apply this formula for all numbers.

Step1:

LCM(488, 767) = 374296

GCD(488, 767) = ( 488 x 767 ) / 374296

= 488 / 767

= 488

Step2:

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

= 1 / 414

= 1

Step3:

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

= 1 / 949

= 1

So, Greatest Common Divisor of 488, 767, 414, 949 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 284, 563, 903, 304
• GCD of 545, 226, 556, 310
• GCD of 259, 608, 863, 877
• GCD of 711, 405, 279, 188
• GCD of 808, 355, 496, 769

Given numbers are 488, 767, 414, 949
The greatest common divisor of numbers 488, 767, 414, 949 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 767, 414, 949 is 1.

1. What is the GCD of 488, 767, 414, 949?

GCD of given numbers 488, 767, 414, 949 is 1

2. How to calculate the greatest common divisor of 488, 767, 414, 949?

We can find the highest common divisor of 488, 767, 414, 949 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 488, 767, 414, 949 i.e 1.

3. How can I use the GCD of 488, 767, 414, 949Calculator?

Out the numbers 488, 767, 414, 949 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.