GCD of 748, 382, 458, 971 Calculator

Given Input numbers are 748, 382, 458, 971

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 458 :

The positive integer divisors of 458 that completely divides 458 are.

1, 2, 229, 458

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

GCD of numbers is the greatest common divisor

So, the GCD (748, 382, 458, 971) = 1.

Given numbers are 748, 382, 458, 971

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 382 are 2 x 191

Prime factors of 458 are 2 x 229

Prime factors of 971 are 971

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

Given numbers are 748, 382, 458, 971

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

Apply this formula for all numbers.

Step1:

LCM(748, 382) = 142868

GCD(748, 382) = ( 748 x 382 ) / 142868

= 748 / 382

= 748

Step2:

LCM(2, 458) = 458

GCD(2, 458) = ( 2 x 458 ) / 458

= 2 / 458

= 2

Step3:

LCM(2, 971) = 1942

GCD(2, 971) = ( 2 x 971 ) / 1942

= 2 / 971

= 2

So, Greatest Common Divisor of 748, 382, 458, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 649, 621, 684, 398
• GCD of 469, 245, 577, 610
• GCD of 711, 474, 385, 540
• GCD of 643, 318, 235, 824
• GCD of 525, 224, 771, 262

Given numbers are 748, 382, 458, 971
The greatest common divisor of numbers 748, 382, 458, 971 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 382, 458, 971 is 1.

1. What is the GCD of 748, 382, 458, 971?

GCD of given numbers 748, 382, 458, 971 is 1

2. How to calculate the greatest common divisor of 748, 382, 458, 971?

We can find the highest common divisor of 748, 382, 458, 971 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 748, 382, 458, 971 i.e 1.

3. How can I use the GCD of 748, 382, 458, 971Calculator?

Out the numbers 748, 382, 458, 971 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.