GCD of 361, 225, 496, 948 Calculator

Given Input numbers are 361, 225, 496, 948

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

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

GCD of numbers is the greatest common divisor

So, the GCD (361, 225, 496, 948) = 1.

Given numbers are 361, 225, 496, 948

The list of prime factors of all numbers are

Prime factors of 361 are 19 x 19

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 948 are 2 x 2 x 3 x 79

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

Given numbers are 361, 225, 496, 948

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

Apply this formula for all numbers.

Step1:

LCM(361, 225) = 81225

GCD(361, 225) = ( 361 x 225 ) / 81225

= 361 / 225

= 361

Step2:

LCM(1, 496) = 496

GCD(1, 496) = ( 1 x 496 ) / 496

= 1 / 496

= 1

Step3:

LCM(1, 948) = 948

GCD(1, 948) = ( 1 x 948 ) / 948

= 1 / 948

= 1

So, Greatest Common Divisor of 361, 225, 496, 948 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 282, 909, 257, 399
• GCD of 199, 965, 743, 687
• GCD of 757, 752, 353, 486
• GCD of 452, 354, 761, 107
• GCD of 830, 483, 862, 342

Given numbers are 361, 225, 496, 948
The greatest common divisor of numbers 361, 225, 496, 948 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 361, 225, 496, 948 is 1.

1. What is the GCD of 361, 225, 496, 948?

GCD of given numbers 361, 225, 496, 948 is 1

2. How to calculate the greatest common divisor of 361, 225, 496, 948?

We can find the highest common divisor of 361, 225, 496, 948 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 361, 225, 496, 948 i.e 1.

3. How can I use the GCD of 361, 225, 496, 948Calculator?

Out the numbers 361, 225, 496, 948 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.