GCD of 764, 272, 740, 208 Calculator

Given Input numbers are 764, 272, 740, 208

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

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

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 (764, 272, 740, 208) = 4.

Given numbers are 764, 272, 740, 208

The list of prime factors of all numbers are

Prime factors of 764 are 2 x 2 x 191

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

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 2²

Therefore, GCD of 764, 272, 740, 208 is 4.

Given numbers are 764, 272, 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(764, 272) = 51952

GCD(764, 272) = ( 764 x 272 ) / 51952

= 764 / 272

= 764

Step2:

LCM(4, 740) = 740

GCD(4, 740) = ( 4 x 740 ) / 740

= 4 / 740

= 4

Step3:

LCM(4, 208) = 208

GCD(4, 208) = ( 4 x 208 ) / 208

= 4 / 208

= 4

So, Greatest Common Divisor of 764, 272, 740, 208 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 996, 309, 510, 748
• GCD of 594, 278, 426, 320
• GCD of 846, 781, 718, 748
• GCD of 521, 686, 240, 792
• GCD of 832, 941, 328, 781

Given numbers are 764, 272, 740, 208
The greatest common divisor of numbers 764, 272, 740, 208 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 764, 272, 740, 208 is 4.

1. What is the GCD of 764, 272, 740, 208?

GCD of given numbers 764, 272, 740, 208 is 4

2. How to calculate the greatest common divisor of 764, 272, 740, 208?

We can find the highest common divisor of 764, 272, 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 764, 272, 740, 208 i.e 4.

3. How can I use the GCD of 764, 272, 740, 208Calculator?

Out the numbers 764, 272, 740, 208 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.