GCD of 248, 741, 974, 825 Calculator

Given Input numbers are 248, 741, 974, 825

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

Divisors of 248 :

The positive integer divisors of 248 that completely divides 248 are.

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

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

GCD of numbers is the greatest common divisor

So, the GCD (248, 741, 974, 825) = 1.

Given numbers are 248, 741, 974, 825

The list of prime factors of all numbers are

Prime factors of 248 are 2 x 2 x 2 x 31

Prime factors of 741 are 3 x 13 x 19

Prime factors of 974 are 2 x 487

Prime factors of 825 are 3 x 5 x 5 x 11

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

Given numbers are 248, 741, 974, 825

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

Apply this formula for all numbers.

Step1:

LCM(248, 741) = 183768

GCD(248, 741) = ( 248 x 741 ) / 183768

= 248 / 741

= 248

Step2:

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

= 1 / 974

= 1

Step3:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1

So, Greatest Common Divisor of 248, 741, 974, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 492, 856, 266, 934
• GCD of 123, 204, 423, 928
• GCD of 175, 640, 586, 843
• GCD of 919, 879, 511, 732
• GCD of 867, 406, 236, 472

Given numbers are 248, 741, 974, 825
The greatest common divisor of numbers 248, 741, 974, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 248, 741, 974, 825 is 1.

1. What is the GCD of 248, 741, 974, 825?

GCD of given numbers 248, 741, 974, 825 is 1

2. How to calculate the greatest common divisor of 248, 741, 974, 825?

We can find the highest common divisor of 248, 741, 974, 825 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 248, 741, 974, 825 i.e 1.

3. How can I use the GCD of 248, 741, 974, 825Calculator?

Out the numbers 248, 741, 974, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.