GCD of 750, 342, 65, 974 Calculator

Given Input numbers are 750, 342, 65, 974

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

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 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 65 :

The positive integer divisors of 65 that completely divides 65 are.

1, 5, 13, 65

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

GCD of numbers is the greatest common divisor

So, the GCD (750, 342, 65, 974) = 1.

Given numbers are 750, 342, 65, 974

The list of prime factors of all numbers are

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

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 65 are 5 x 13

Prime factors of 974 are 2 x 487

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

Given numbers are 750, 342, 65, 974

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

Apply this formula for all numbers.

Step1:

LCM(750, 342) = 42750

GCD(750, 342) = ( 750 x 342 ) / 42750

= 750 / 342

= 750

Step2:

LCM(6, 65) = 390

GCD(6, 65) = ( 6 x 65 ) / 390

= 6 / 65

= 6

Step3:

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

= 1 / 974

= 1

So, Greatest Common Divisor of 750, 342, 65, 974 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 991, 649, 59, 748
• GCD of 177, 798, 18, 509
• GCD of 537, 487, 32, 850
• GCD of 937, 156, 91, 689
• GCD of 352, 347, 49, 631

Given numbers are 750, 342, 65, 974
The greatest common divisor of numbers 750, 342, 65, 974 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 750, 342, 65, 974 is 1.

1. What is the GCD of 750, 342, 65, 974?

GCD of given numbers 750, 342, 65, 974 is 1

2. How to calculate the greatest common divisor of 750, 342, 65, 974?

We can find the highest common divisor of 750, 342, 65, 974 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 750, 342, 65, 974 i.e 1.

3. How can I use the GCD of 750, 342, 65, 974Calculator?

Out the numbers 750, 342, 65, 974 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.