GCD of 748, 650, 740, 208 Calculator

Given Input numbers are 748, 650, 740, 208

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 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

GCD of numbers is the greatest common divisor

So, the GCD (748, 650, 740, 208) = 2.

Given numbers are 748, 650, 740, 208

The list of prime factors of all numbers are

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

Prime factors of 650 are 2 x 5 x 5 x 13

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

The highest common occurrence is 2¹

Therefore, GCD of 748, 650, 740, 208 is 2.

Given numbers are 748, 650, 740, 208

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

Apply this formula for all numbers.

Step1:

LCM(748, 650) = 243100

GCD(748, 650) = ( 748 x 650 ) / 243100

= 748 / 650

= 748

Step2:

LCM(2, 740) = 740

GCD(2, 740) = ( 2 x 740 ) / 740

= 2 / 740

= 2

Step3:

LCM(2, 208) = 208

GCD(2, 208) = ( 2 x 208 ) / 208

= 2 / 208

= 2

So, Greatest Common Divisor of 748, 650, 740, 208 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 602, 133, 225, 264
• GCD of 116, 143, 407, 102
• GCD of 365, 545, 982, 208
• GCD of 645, 985, 110, 183
• GCD of 735, 980, 215, 501

Given numbers are 748, 650, 740, 208
The greatest common divisor of numbers 748, 650, 740, 208 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 650, 740, 208 is 2.

1. What is the GCD of 748, 650, 740, 208?

GCD of given numbers 748, 650, 740, 208 is 2

2. How to calculate the greatest common divisor of 748, 650, 740, 208?

We can find the highest common divisor of 748, 650, 740, 208 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, 650, 740, 208 i.e 2.

3. How can I use the GCD of 748, 650, 740, 208Calculator?

Out the numbers 748, 650, 740, 208 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.