GCD of 658, 729, 982, 971 Calculator

Given Input numbers are 658, 729, 982, 971

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

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

Divisors of 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

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 (658, 729, 982, 971) = 1.

Given numbers are 658, 729, 982, 971

The list of prime factors of all numbers are

Prime factors of 658 are 2 x 7 x 47

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

Prime factors of 982 are 2 x 491

Prime factors of 971 are 971

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

Given numbers are 658, 729, 982, 971

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

Apply this formula for all numbers.

Step1:

LCM(658, 729) = 479682

GCD(658, 729) = ( 658 x 729 ) / 479682

= 658 / 729

= 658

Step2:

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

= 1 / 982

= 1

Step3:

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

= 1 / 971

= 1

So, Greatest Common Divisor of 658, 729, 982, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 403, 163, 376, 211
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• GCD of 689, 557, 893, 106
• GCD of 721, 801, 445, 517
• GCD of 761, 182, 263, 903

Given numbers are 658, 729, 982, 971
The greatest common divisor of numbers 658, 729, 982, 971 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 658, 729, 982, 971 is 1.

1. What is the GCD of 658, 729, 982, 971?

GCD of given numbers 658, 729, 982, 971 is 1

2. How to calculate the greatest common divisor of 658, 729, 982, 971?

We can find the highest common divisor of 658, 729, 982, 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 658, 729, 982, 971 i.e 1.

3. How can I use the GCD of 658, 729, 982, 971Calculator?

Out the numbers 658, 729, 982, 971 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.