GCD of 174, 829, 968, 648 Calculator

Given Input numbers are 174, 829, 968, 648

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

Divisors of 174 :

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

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

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

GCD of numbers is the greatest common divisor

So, the GCD (174, 829, 968, 648) = 1.

Given numbers are 174, 829, 968, 648

The list of prime factors of all numbers are

Prime factors of 174 are 2 x 3 x 29

Prime factors of 829 are 829

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

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

Given numbers are 174, 829, 968, 648

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

Apply this formula for all numbers.

Step1:

LCM(174, 829) = 144246

GCD(174, 829) = ( 174 x 829 ) / 144246

= 174 / 829

= 174

Step2:

LCM(1, 968) = 968

GCD(1, 968) = ( 1 x 968 ) / 968

= 1 / 968

= 1

Step3:

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

= 1 / 648

= 1

So, Greatest Common Divisor of 174, 829, 968, 648 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 425, 166, 370, 612
• GCD of 252, 654, 555, 883
• GCD of 907, 579, 287, 248
• GCD of 738, 224, 897, 931
• GCD of 707, 568, 427, 840

Given numbers are 174, 829, 968, 648
The greatest common divisor of numbers 174, 829, 968, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 174, 829, 968, 648 is 1.

1. What is the GCD of 174, 829, 968, 648?

GCD of given numbers 174, 829, 968, 648 is 1

2. How to calculate the greatest common divisor of 174, 829, 968, 648?

We can find the highest common divisor of 174, 829, 968, 648 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 174, 829, 968, 648 i.e 1.

3. How can I use the GCD of 174, 829, 968, 648Calculator?

Out the numbers 174, 829, 968, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.