GCD of 730, 750, 690, 988 Calculator

Given Input numbers are 730, 750, 690, 988

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 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

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 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

GCD of numbers is the greatest common divisor

So, the GCD (730, 750, 690, 988) = 2.

Given numbers are 730, 750, 690, 988

The list of prime factors of all numbers are

Prime factors of 730 are 2 x 5 x 73

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

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

Prime factors of 988 are 2 x 2 x 13 x 19

The highest common occurrence is 2¹

Therefore, GCD of 730, 750, 690, 988 is 2.

Given numbers are 730, 750, 690, 988

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

Apply this formula for all numbers.

Step1:

LCM(730, 750) = 54750

GCD(730, 750) = ( 730 x 750 ) / 54750

= 730 / 750

= 730

Step2:

LCM(10, 690) = 690

GCD(10, 690) = ( 10 x 690 ) / 690

= 10 / 690

= 10

Step3:

LCM(10, 988) = 4940

GCD(10, 988) = ( 10 x 988 ) / 4940

= 10 / 988

= 10

So, Greatest Common Divisor of 730, 750, 690, 988 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 724, 557, 202, 633
• GCD of 279, 433, 864, 389
• GCD of 958, 347, 706, 603
• GCD of 735, 309, 731, 950
• GCD of 150, 242, 588, 169

Given numbers are 730, 750, 690, 988
The greatest common divisor of numbers 730, 750, 690, 988 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 750, 690, 988 is 2.

1. What is the GCD of 730, 750, 690, 988?

GCD of given numbers 730, 750, 690, 988 is 2

2. How to calculate the greatest common divisor of 730, 750, 690, 988?

We can find the highest common divisor of 730, 750, 690, 988 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, 750, 690, 988 i.e 2.

3. How can I use the GCD of 730, 750, 690, 988Calculator?

Out the numbers 730, 750, 690, 988 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.