GCD of 971, 547, 649, 742 Calculator

Given Input numbers are 971, 547, 649, 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 547 :

The positive integer divisors of 547 that completely divides 547 are.

1, 547

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

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, 547, 649, 742) = 1.

Given numbers are 971, 547, 649, 742

The list of prime factors of all numbers are

Prime factors of 971 are 971

Prime factors of 547 are 547

Prime factors of 649 are 11 x 59

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, 547, 649, 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, 547) = 531137

GCD(971, 547) = ( 971 x 547 ) / 531137

= 971 / 547

= 971

Step2:

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

= 1 / 649

= 1

Step3:

LCM(1, 742) = 742

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

= 1 / 742

= 1

So, Greatest Common Divisor of 971, 547, 649, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 915, 504, 728, 451
• GCD of 162, 250, 424, 979
• GCD of 726, 710, 608, 682
• GCD of 525, 250, 809, 298
• GCD of 208, 600, 784, 955

Given numbers are 971, 547, 649, 742
The greatest common divisor of numbers 971, 547, 649, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 971, 547, 649, 742 is 1.

1. What is the GCD of 971, 547, 649, 742?

GCD of given numbers 971, 547, 649, 742 is 1

2. How to calculate the greatest common divisor of 971, 547, 649, 742?

We can find the highest common divisor of 971, 547, 649, 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, 547, 649, 742 i.e 1.

3. How can I use the GCD of 971, 547, 649, 742Calculator?

Out the numbers 971, 547, 649, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.