GCD of 756, 398, 748, 114 Calculator

Given Input numbers are 756, 398, 748, 114

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

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

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 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

GCD of numbers is the greatest common divisor

So, the GCD (756, 398, 748, 114) = 2.

Given numbers are 756, 398, 748, 114

The list of prime factors of all numbers are

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 398 are 2 x 199

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

Prime factors of 114 are 2 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 756, 398, 748, 114 is 2.

Given numbers are 756, 398, 748, 114

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

Apply this formula for all numbers.

Step1:

LCM(756, 398) = 150444

GCD(756, 398) = ( 756 x 398 ) / 150444

= 756 / 398

= 756

Step2:

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

= 2 / 748

= 2

Step3:

LCM(2, 114) = 114

GCD(2, 114) = ( 2 x 114 ) / 114

= 2 / 114

= 2

So, Greatest Common Divisor of 756, 398, 748, 114 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 960, 928, 342, 408
• GCD of 402, 209, 125, 957
• GCD of 375, 294, 518, 991
• GCD of 652, 182, 669, 257
• GCD of 421, 257, 302, 143

Given numbers are 756, 398, 748, 114
The greatest common divisor of numbers 756, 398, 748, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 398, 748, 114 is 2.

1. What is the GCD of 756, 398, 748, 114?

GCD of given numbers 756, 398, 748, 114 is 2

2. How to calculate the greatest common divisor of 756, 398, 748, 114?

We can find the highest common divisor of 756, 398, 748, 114 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 756, 398, 748, 114 i.e 2.

3. How can I use the GCD of 756, 398, 748, 114Calculator?

Out the numbers 756, 398, 748, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.