GCD of 658, 268, 774, 348 Calculator

Given Input numbers are 658, 268, 774, 348

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

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

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

GCD of numbers is the greatest common divisor

So, the GCD (658, 268, 774, 348) = 2.

Given numbers are 658, 268, 774, 348

The list of prime factors of all numbers are

Prime factors of 658 are 2 x 7 x 47

Prime factors of 268 are 2 x 2 x 67

Prime factors of 774 are 2 x 3 x 3 x 43

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

The highest common occurrence is 2¹

Therefore, GCD of 658, 268, 774, 348 is 2.

Given numbers are 658, 268, 774, 348

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

Apply this formula for all numbers.

Step1:

LCM(658, 268) = 88172

GCD(658, 268) = ( 658 x 268 ) / 88172

= 658 / 268

= 658

Step2:

LCM(2, 774) = 774

GCD(2, 774) = ( 2 x 774 ) / 774

= 2 / 774

= 2

Step3:

LCM(2, 348) = 348

GCD(2, 348) = ( 2 x 348 ) / 348

= 2 / 348

= 2

So, Greatest Common Divisor of 658, 268, 774, 348 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 992, 779, 123, 345
• GCD of 498, 163, 612, 541
• GCD of 545, 747, 476, 696
• GCD of 608, 110, 443, 512
• GCD of 722, 415, 924, 759

Given numbers are 658, 268, 774, 348
The greatest common divisor of numbers 658, 268, 774, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 658, 268, 774, 348 is 2.

1. What is the GCD of 658, 268, 774, 348?

GCD of given numbers 658, 268, 774, 348 is 2

2. How to calculate the greatest common divisor of 658, 268, 774, 348?

We can find the highest common divisor of 658, 268, 774, 348 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 658, 268, 774, 348 i.e 2.

3. How can I use the GCD of 658, 268, 774, 348Calculator?

Out the numbers 658, 268, 774, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.