GCD of 348, 380, 704, 766 Calculator

Given Input numbers are 348, 380, 704, 766

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

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

GCD of numbers is the greatest common divisor

So, the GCD (348, 380, 704, 766) = 2.

Given numbers are 348, 380, 704, 766

The list of prime factors of all numbers are

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 766 are 2 x 383

The highest common occurrence is 2¹

Therefore, GCD of 348, 380, 704, 766 is 2.

Given numbers are 348, 380, 704, 766

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

Apply this formula for all numbers.

Step1:

LCM(348, 380) = 33060

GCD(348, 380) = ( 348 x 380 ) / 33060

= 348 / 380

= 348

Step2:

LCM(4, 704) = 704

GCD(4, 704) = ( 4 x 704 ) / 704

= 4 / 704

= 4

Step3:

LCM(4, 766) = 1532

GCD(4, 766) = ( 4 x 766 ) / 1532

= 4 / 766

= 4

So, Greatest Common Divisor of 348, 380, 704, 766 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 498, 220, 837, 100
• GCD of 676, 619, 322, 900
• GCD of 427, 770, 994, 779
• GCD of 907, 304, 472, 860
• GCD of 441, 867, 616, 183

Given numbers are 348, 380, 704, 766
The greatest common divisor of numbers 348, 380, 704, 766 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 380, 704, 766 is 2.

1. What is the GCD of 348, 380, 704, 766?

GCD of given numbers 348, 380, 704, 766 is 2

2. How to calculate the greatest common divisor of 348, 380, 704, 766?

We can find the highest common divisor of 348, 380, 704, 766 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 348, 380, 704, 766 i.e 2.

3. How can I use the GCD of 348, 380, 704, 766Calculator?

Out the numbers 348, 380, 704, 766 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.