GCD of 298, 134, 690, 721 Calculator

Given Input numbers are 298, 134, 690, 721

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

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 721 :

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

1, 7, 103, 721

GCD of numbers is the greatest common divisor

So, the GCD (298, 134, 690, 721) = 1.

Given numbers are 298, 134, 690, 721

The list of prime factors of all numbers are

Prime factors of 298 are 2 x 149

Prime factors of 134 are 2 x 67

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 721 are 7 x 103

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

Given numbers are 298, 134, 690, 721

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

Apply this formula for all numbers.

Step1:

LCM(298, 134) = 19966

GCD(298, 134) = ( 298 x 134 ) / 19966

= 298 / 134

= 298

Step2:

LCM(2, 690) = 690

GCD(2, 690) = ( 2 x 690 ) / 690

= 2 / 690

= 2

Step3:

LCM(2, 721) = 1442

GCD(2, 721) = ( 2 x 721 ) / 1442

= 2 / 721

= 2

So, Greatest Common Divisor of 298, 134, 690, 721 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 506, 889, 420, 490
• GCD of 135, 641, 352, 145
• GCD of 551, 965, 829, 764
• GCD of 787, 146, 433, 974
• GCD of 182, 339, 149, 763

Given numbers are 298, 134, 690, 721
The greatest common divisor of numbers 298, 134, 690, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 298, 134, 690, 721 is 1.

1. What is the GCD of 298, 134, 690, 721?

GCD of given numbers 298, 134, 690, 721 is 1

2. How to calculate the greatest common divisor of 298, 134, 690, 721?

We can find the highest common divisor of 298, 134, 690, 721 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 298, 134, 690, 721 i.e 1.

3. How can I use the GCD of 298, 134, 690, 721Calculator?

Out the numbers 298, 134, 690, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.