GCD of 744, 314, 504, 196 Calculator

Given Input numbers are 744, 314, 504, 196

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

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

GCD of numbers is the greatest common divisor

So, the GCD (744, 314, 504, 196) = 2.

Given numbers are 744, 314, 504, 196

The list of prime factors of all numbers are

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 314 are 2 x 157

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 196 are 2 x 2 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 744, 314, 504, 196 is 2.

Given numbers are 744, 314, 504, 196

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

Apply this formula for all numbers.

Step1:

LCM(744, 314) = 116808

GCD(744, 314) = ( 744 x 314 ) / 116808

= 744 / 314

= 744

Step2:

LCM(2, 504) = 504

GCD(2, 504) = ( 2 x 504 ) / 504

= 2 / 504

= 2

Step3:

LCM(2, 196) = 196

GCD(2, 196) = ( 2 x 196 ) / 196

= 2 / 196

= 2

So, Greatest Common Divisor of 744, 314, 504, 196 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 168, 227, 357, 887
• GCD of 814, 813, 171, 209
• GCD of 452, 609, 779, 140
• GCD of 355, 496, 199, 666
• GCD of 223, 382, 612, 598

Given numbers are 744, 314, 504, 196
The greatest common divisor of numbers 744, 314, 504, 196 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 314, 504, 196 is 2.

1. What is the GCD of 744, 314, 504, 196?

GCD of given numbers 744, 314, 504, 196 is 2

2. How to calculate the greatest common divisor of 744, 314, 504, 196?

We can find the highest common divisor of 744, 314, 504, 196 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 744, 314, 504, 196 i.e 2.

3. How can I use the GCD of 744, 314, 504, 196Calculator?

Out the numbers 744, 314, 504, 196 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.