GCD of 721, 698, 971, 743 Calculator

Given Input numbers are 721, 698, 971, 743

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

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 971 :

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

1, 971

Divisors of 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743

GCD of numbers is the greatest common divisor

So, the GCD (721, 698, 971, 743) = 1.

Given numbers are 721, 698, 971, 743

The list of prime factors of all numbers are

Prime factors of 721 are 7 x 103

Prime factors of 698 are 2 x 349

Prime factors of 971 are 971

Prime factors of 743 are 743

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

Given numbers are 721, 698, 971, 743

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

Apply this formula for all numbers.

Step1:

LCM(721, 698) = 503258

GCD(721, 698) = ( 721 x 698 ) / 503258

= 721 / 698

= 721

Step2:

LCM(1, 971) = 971

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

= 1 / 971

= 1

Step3:

LCM(1, 743) = 743

GCD(1, 743) = ( 1 x 743 ) / 743

= 1 / 743

= 1

So, Greatest Common Divisor of 721, 698, 971, 743 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 129, 742, 629, 625
• GCD of 809, 665, 830, 398
• GCD of 509, 711, 595, 148
• GCD of 717, 507, 267, 270
• GCD of 394, 569, 723, 160

Given numbers are 721, 698, 971, 743
The greatest common divisor of numbers 721, 698, 971, 743 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 721, 698, 971, 743 is 1.

1. What is the GCD of 721, 698, 971, 743?

GCD of given numbers 721, 698, 971, 743 is 1

2. How to calculate the greatest common divisor of 721, 698, 971, 743?

We can find the highest common divisor of 721, 698, 971, 743 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 721, 698, 971, 743 i.e 1.

3. How can I use the GCD of 721, 698, 971, 743Calculator?

Out the numbers 721, 698, 971, 743 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.