GCD of 428, 664, 758, 971 Calculator

Given Input numbers are 428, 664, 758, 971

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

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 (428, 664, 758, 971) = 1.

Given numbers are 428, 664, 758, 971

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 758 are 2 x 379

Prime factors of 971 are 971

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

Given numbers are 428, 664, 758, 971

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

Apply this formula for all numbers.

Step1:

LCM(428, 664) = 71048

GCD(428, 664) = ( 428 x 664 ) / 71048

= 428 / 664

= 428

Step2:

LCM(4, 758) = 1516

GCD(4, 758) = ( 4 x 758 ) / 1516

= 4 / 758

= 4

Step3:

LCM(2, 971) = 1942

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

= 2 / 971

= 2

So, Greatest Common Divisor of 428, 664, 758, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 171, 768, 890, 963
• GCD of 572, 611, 177, 930
• GCD of 212, 157, 415, 915
• GCD of 576, 641, 540, 526
• GCD of 158, 235, 732, 687

Given numbers are 428, 664, 758, 971
The greatest common divisor of numbers 428, 664, 758, 971 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 664, 758, 971 is 1.

1. What is the GCD of 428, 664, 758, 971?

GCD of given numbers 428, 664, 758, 971 is 1

2. How to calculate the greatest common divisor of 428, 664, 758, 971?

We can find the highest common divisor of 428, 664, 758, 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 428, 664, 758, 971 i.e 1.

3. How can I use the GCD of 428, 664, 758, 971Calculator?

Out the numbers 428, 664, 758, 971 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.