GCD of 748, 114, 662, 310 Calculator

Given Input numbers are 748, 114, 662, 310

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 114 :

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

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

Divisors of 662 :

The positive integer divisors of 662 that completely divides 662 are.

1, 2, 331, 662

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

GCD of numbers is the greatest common divisor

So, the GCD (748, 114, 662, 310) = 2.

Given numbers are 748, 114, 662, 310

The list of prime factors of all numbers are

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

Prime factors of 114 are 2 x 3 x 19

Prime factors of 662 are 2 x 331

Prime factors of 310 are 2 x 5 x 31

The highest common occurrence is 2¹

Therefore, GCD of 748, 114, 662, 310 is 2.

Given numbers are 748, 114, 662, 310

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

Apply this formula for all numbers.

Step1:

LCM(748, 114) = 42636

GCD(748, 114) = ( 748 x 114 ) / 42636

= 748 / 114

= 748

Step2:

LCM(2, 662) = 662

GCD(2, 662) = ( 2 x 662 ) / 662

= 2 / 662

= 2

Step3:

LCM(2, 310) = 310

GCD(2, 310) = ( 2 x 310 ) / 310

= 2 / 310

= 2

So, Greatest Common Divisor of 748, 114, 662, 310 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 943, 937, 641, 837
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• GCD of 855, 306, 468, 512
• GCD of 615, 916, 443, 435

Given numbers are 748, 114, 662, 310
The greatest common divisor of numbers 748, 114, 662, 310 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 114, 662, 310 is 2.

1. What is the GCD of 748, 114, 662, 310?

GCD of given numbers 748, 114, 662, 310 is 2

2. How to calculate the greatest common divisor of 748, 114, 662, 310?

We can find the highest common divisor of 748, 114, 662, 310 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, 114, 662, 310 i.e 2.

3. How can I use the GCD of 748, 114, 662, 310Calculator?

Out the numbers 748, 114, 662, 310 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.