GCD of 677, 174, 814, 490 Calculator

Given Input numbers are 677, 174, 814, 490

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

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

GCD of numbers is the greatest common divisor

So, the GCD (677, 174, 814, 490) = 1.

Given numbers are 677, 174, 814, 490

The list of prime factors of all numbers are

Prime factors of 677 are 677

Prime factors of 174 are 2 x 3 x 29

Prime factors of 814 are 2 x 11 x 37

Prime factors of 490 are 2 x 5 x 7 x 7

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

Given numbers are 677, 174, 814, 490

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

Apply this formula for all numbers.

Step1:

LCM(677, 174) = 117798

GCD(677, 174) = ( 677 x 174 ) / 117798

= 677 / 174

= 677

Step2:

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

= 1 / 814

= 1

Step3:

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

= 1 / 490

= 1

So, Greatest Common Divisor of 677, 174, 814, 490 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 693, 409, 631, 215
• GCD of 546, 672, 127, 493
• GCD of 304, 159, 642, 933
• GCD of 896, 978, 131, 137
• GCD of 153, 331, 128, 568

Given numbers are 677, 174, 814, 490
The greatest common divisor of numbers 677, 174, 814, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 677, 174, 814, 490 is 1.

1. What is the GCD of 677, 174, 814, 490?

GCD of given numbers 677, 174, 814, 490 is 1

2. How to calculate the greatest common divisor of 677, 174, 814, 490?

We can find the highest common divisor of 677, 174, 814, 490 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 677, 174, 814, 490 i.e 1.

3. How can I use the GCD of 677, 174, 814, 490Calculator?

Out the numbers 677, 174, 814, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.