GCD of 754, 272, 772, 708 Calculator

Given Input numbers are 754, 272, 772, 708

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

Divisors of 754 :

The positive integer divisors of 754 that completely divides 754 are.

1, 2, 13, 26, 29, 58, 377, 754

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 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

GCD of numbers is the greatest common divisor

So, the GCD (754, 272, 772, 708) = 2.

Given numbers are 754, 272, 772, 708

The list of prime factors of all numbers are

Prime factors of 754 are 2 x 13 x 29

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

Prime factors of 772 are 2 x 2 x 193

Prime factors of 708 are 2 x 2 x 3 x 59

The highest common occurrence is 2¹

Therefore, GCD of 754, 272, 772, 708 is 2.

Given numbers are 754, 272, 772, 708

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

Apply this formula for all numbers.

Step1:

LCM(754, 272) = 102544

GCD(754, 272) = ( 754 x 272 ) / 102544

= 754 / 272

= 754

Step2:

LCM(2, 772) = 772

GCD(2, 772) = ( 2 x 772 ) / 772

= 2 / 772

= 2

Step3:

LCM(2, 708) = 708

GCD(2, 708) = ( 2 x 708 ) / 708

= 2 / 708

= 2

So, Greatest Common Divisor of 754, 272, 772, 708 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 587, 252, 156, 234
• GCD of 263, 102, 771, 349
• GCD of 363, 364, 821, 742
• GCD of 958, 954, 475, 184
• GCD of 193, 958, 403, 145

Given numbers are 754, 272, 772, 708
The greatest common divisor of numbers 754, 272, 772, 708 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 754, 272, 772, 708 is 2.

1. What is the GCD of 754, 272, 772, 708?

GCD of given numbers 754, 272, 772, 708 is 2

2. How to calculate the greatest common divisor of 754, 272, 772, 708?

We can find the highest common divisor of 754, 272, 772, 708 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 754, 272, 772, 708 i.e 2.

3. How can I use the GCD of 754, 272, 772, 708Calculator?

Out the numbers 754, 272, 772, 708 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.