GCD of 749, 772, 104, 978 Calculator

Given Input numbers are 749, 772, 104, 978

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

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

GCD of numbers is the greatest common divisor

So, the GCD (749, 772, 104, 978) = 1.

Given numbers are 749, 772, 104, 978

The list of prime factors of all numbers are

Prime factors of 749 are 7 x 107

Prime factors of 772 are 2 x 2 x 193

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 978 are 2 x 3 x 163

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

Given numbers are 749, 772, 104, 978

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

Apply this formula for all numbers.

Step1:

LCM(749, 772) = 578228

GCD(749, 772) = ( 749 x 772 ) / 578228

= 749 / 772

= 749

Step2:

LCM(1, 104) = 104

GCD(1, 104) = ( 1 x 104 ) / 104

= 1 / 104

= 1

Step3:

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

= 1 / 978

= 1

So, Greatest Common Divisor of 749, 772, 104, 978 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 850, 138, 789, 596
• GCD of 340, 982, 129, 224
• GCD of 121, 764, 109, 637
• GCD of 244, 842, 495, 475
• GCD of 347, 133, 675, 551

Given numbers are 749, 772, 104, 978
The greatest common divisor of numbers 749, 772, 104, 978 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 772, 104, 978 is 1.

1. What is the GCD of 749, 772, 104, 978?

GCD of given numbers 749, 772, 104, 978 is 1

2. How to calculate the greatest common divisor of 749, 772, 104, 978?

We can find the highest common divisor of 749, 772, 104, 978 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 749, 772, 104, 978 i.e 1.

3. How can I use the GCD of 749, 772, 104, 978Calculator?

Out the numbers 749, 772, 104, 978 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.