GCD of 730, 117, 294, 690 Calculator

Given Input numbers are 730, 117, 294, 690

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

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

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

GCD of numbers is the greatest common divisor

So, the GCD (730, 117, 294, 690) = 1.

Given numbers are 730, 117, 294, 690

The list of prime factors of all numbers are

Prime factors of 730 are 2 x 5 x 73

Prime factors of 117 are 3 x 3 x 13

Prime factors of 294 are 2 x 3 x 7 x 7

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

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

Given numbers are 730, 117, 294, 690

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

Apply this formula for all numbers.

Step1:

LCM(730, 117) = 85410

GCD(730, 117) = ( 730 x 117 ) / 85410

= 730 / 117

= 730

Step2:

LCM(1, 294) = 294

GCD(1, 294) = ( 1 x 294 ) / 294

= 1 / 294

= 1

Step3:

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

= 1 / 690

= 1

So, Greatest Common Divisor of 730, 117, 294, 690 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 965, 932, 172, 826
• GCD of 528, 675, 116, 777
• GCD of 604, 616, 693, 237
• GCD of 220, 639, 883, 943
• GCD of 536, 122, 313, 634

Given numbers are 730, 117, 294, 690
The greatest common divisor of numbers 730, 117, 294, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 117, 294, 690 is 1.

1. What is the GCD of 730, 117, 294, 690?

GCD of given numbers 730, 117, 294, 690 is 1

2. How to calculate the greatest common divisor of 730, 117, 294, 690?

We can find the highest common divisor of 730, 117, 294, 690 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 730, 117, 294, 690 i.e 1.

3. How can I use the GCD of 730, 117, 294, 690Calculator?

Out the numbers 730, 117, 294, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.