GCD of 748, 374, 504, 716 Calculator

Given Input numbers are 748, 374, 504, 716

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

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 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

GCD of numbers is the greatest common divisor

So, the GCD (748, 374, 504, 716) = 2.

Given numbers are 748, 374, 504, 716

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 374 are 2 x 11 x 17

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

Prime factors of 716 are 2 x 2 x 179

The highest common occurrence is 2¹

Therefore, GCD of 748, 374, 504, 716 is 2.

Given numbers are 748, 374, 504, 716

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

Apply this formula for all numbers.

Step1:

LCM(748, 374) = 748

GCD(748, 374) = ( 748 x 374 ) / 748

= 748 / 374

= 748

Step2:

LCM(374, 504) = 94248

GCD(374, 504) = ( 374 x 504 ) / 94248

= 374 / 504

= 374

Step3:

LCM(2, 716) = 716

GCD(2, 716) = ( 2 x 716 ) / 716

= 2 / 716

= 2

So, Greatest Common Divisor of 748, 374, 504, 716 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 973, 551, 514, 844
• GCD of 239, 163, 204, 486
• GCD of 292, 801, 562, 339
• GCD of 992, 320, 489, 753
• GCD of 908, 906, 764, 404

Given numbers are 748, 374, 504, 716
The greatest common divisor of numbers 748, 374, 504, 716 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 374, 504, 716 is 2.

1. What is the GCD of 748, 374, 504, 716?

GCD of given numbers 748, 374, 504, 716 is 2

2. How to calculate the greatest common divisor of 748, 374, 504, 716?

We can find the highest common divisor of 748, 374, 504, 716 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 748, 374, 504, 716 i.e 2.

3. How can I use the GCD of 748, 374, 504, 716Calculator?

Out the numbers 748, 374, 504, 716 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.