GCD of 971, 217, 608, 742 Calculator

Given Input numbers are 971, 217, 608, 742

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

Divisors of 971 :

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

1, 971

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

Divisors of 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

GCD of numbers is the greatest common divisor

So, the GCD (971, 217, 608, 742) = 1.

Given numbers are 971, 217, 608, 742

The list of prime factors of all numbers are

Prime factors of 971 are 971

Prime factors of 217 are 7 x 31

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

Prime factors of 742 are 2 x 7 x 53

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

Given numbers are 971, 217, 608, 742

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

Apply this formula for all numbers.

Step1:

LCM(971, 217) = 210707

GCD(971, 217) = ( 971 x 217 ) / 210707

= 971 / 217

= 971

Step2:

LCM(1, 608) = 608

GCD(1, 608) = ( 1 x 608 ) / 608

= 1 / 608

= 1

Step3:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

So, Greatest Common Divisor of 971, 217, 608, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 482, 714, 392, 987
• GCD of 669, 278, 236, 783
• GCD of 372, 294, 796, 866
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• GCD of 536, 704, 691, 570

Given numbers are 971, 217, 608, 742
The greatest common divisor of numbers 971, 217, 608, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 971, 217, 608, 742 is 1.

1. What is the GCD of 971, 217, 608, 742?

GCD of given numbers 971, 217, 608, 742 is 1

2. How to calculate the greatest common divisor of 971, 217, 608, 742?

We can find the highest common divisor of 971, 217, 608, 742 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 971, 217, 608, 742 i.e 1.

3. How can I use the GCD of 971, 217, 608, 742Calculator?

Out the numbers 971, 217, 608, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.