GCD of 498, 522, 625, 922 Calculator

Given Input numbers are 498, 522, 625, 922

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

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 625 :

The positive integer divisors of 625 that completely divides 625 are.

1, 5, 25, 125, 625

Divisors of 922 :

The positive integer divisors of 922 that completely divides 922 are.

1, 2, 461, 922

GCD of numbers is the greatest common divisor

So, the GCD (498, 522, 625, 922) = 1.

Given numbers are 498, 522, 625, 922

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 625 are 5 x 5 x 5 x 5

Prime factors of 922 are 2 x 461

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

Given numbers are 498, 522, 625, 922

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

Apply this formula for all numbers.

Step1:

LCM(498, 522) = 43326

GCD(498, 522) = ( 498 x 522 ) / 43326

= 498 / 522

= 498

Step2:

LCM(6, 625) = 3750

GCD(6, 625) = ( 6 x 625 ) / 3750

= 6 / 625

= 6

Step3:

LCM(1, 922) = 922

GCD(1, 922) = ( 1 x 922 ) / 922

= 1 / 922

= 1

So, Greatest Common Divisor of 498, 522, 625, 922 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 716, 364, 804, 632
• GCD of 277, 952, 413, 335
• GCD of 295, 984, 980, 231
• GCD of 788, 132, 321, 818
• GCD of 441, 586, 699, 900

Given numbers are 498, 522, 625, 922
The greatest common divisor of numbers 498, 522, 625, 922 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 522, 625, 922 is 1.

1. What is the GCD of 498, 522, 625, 922?

GCD of given numbers 498, 522, 625, 922 is 1

2. How to calculate the greatest common divisor of 498, 522, 625, 922?

We can find the highest common divisor of 498, 522, 625, 922 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 498, 522, 625, 922 i.e 1.

3. How can I use the GCD of 498, 522, 625, 922Calculator?

Out the numbers 498, 522, 625, 922 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.