GCD of 776, 748, 200, 444 Calculator

Given Input numbers are 776, 748, 200, 444

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

Divisors of 776 :

The positive integer divisors of 776 that completely divides 776 are.

1, 2, 4, 8, 97, 194, 388, 776

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 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 444 :

The positive integer divisors of 444 that completely divides 444 are.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

GCD of numbers is the greatest common divisor

So, the GCD (776, 748, 200, 444) = 4.

Given numbers are 776, 748, 200, 444

The list of prime factors of all numbers are

Prime factors of 776 are 2 x 2 x 2 x 97

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

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 444 are 2 x 2 x 3 x 37

The highest common occurrence is 2²

Therefore, GCD of 776, 748, 200, 444 is 4.

Given numbers are 776, 748, 200, 444

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

Apply this formula for all numbers.

Step1:

LCM(776, 748) = 145112

GCD(776, 748) = ( 776 x 748 ) / 145112

= 776 / 748

= 776

Step2:

LCM(4, 200) = 200

GCD(4, 200) = ( 4 x 200 ) / 200

= 4 / 200

= 4

Step3:

LCM(4, 444) = 444

GCD(4, 444) = ( 4 x 444 ) / 444

= 4 / 444

= 4

So, Greatest Common Divisor of 776, 748, 200, 444 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 697, 311, 301, 799
• GCD of 249, 718, 495, 920
• GCD of 841, 887, 181, 170
• GCD of 494, 691, 962, 808
• GCD of 170, 584, 622, 338

Given numbers are 776, 748, 200, 444
The greatest common divisor of numbers 776, 748, 200, 444 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 776, 748, 200, 444 is 4.

1. What is the GCD of 776, 748, 200, 444?

GCD of given numbers 776, 748, 200, 444 is 4

2. How to calculate the greatest common divisor of 776, 748, 200, 444?

We can find the highest common divisor of 776, 748, 200, 444 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 776, 748, 200, 444 i.e 4.

3. How can I use the GCD of 776, 748, 200, 444Calculator?

Out the numbers 776, 748, 200, 444 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.