GCD of 686, 276, 746, 772 Calculator

Given Input numbers are 686, 276, 746, 772

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

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 772 :

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

1, 2, 4, 193, 386, 772

GCD of numbers is the greatest common divisor

So, the GCD (686, 276, 746, 772) = 2.

Given numbers are 686, 276, 746, 772

The list of prime factors of all numbers are

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 276 are 2 x 2 x 3 x 23

Prime factors of 746 are 2 x 373

Prime factors of 772 are 2 x 2 x 193

The highest common occurrence is 2¹

Therefore, GCD of 686, 276, 746, 772 is 2.

Given numbers are 686, 276, 746, 772

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

Apply this formula for all numbers.

Step1:

LCM(686, 276) = 94668

GCD(686, 276) = ( 686 x 276 ) / 94668

= 686 / 276

= 686

Step2:

LCM(2, 746) = 746

GCD(2, 746) = ( 2 x 746 ) / 746

= 2 / 746

= 2

Step3:

LCM(2, 772) = 772

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

= 2 / 772

= 2

So, Greatest Common Divisor of 686, 276, 746, 772 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 147, 582, 858, 704
• GCD of 990, 355, 852, 223
• GCD of 258, 527, 471, 619
• GCD of 734, 120, 560, 689
• GCD of 439, 365, 714, 256

Given numbers are 686, 276, 746, 772
The greatest common divisor of numbers 686, 276, 746, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 276, 746, 772 is 2.

1. What is the GCD of 686, 276, 746, 772?

GCD of given numbers 686, 276, 746, 772 is 2

2. How to calculate the greatest common divisor of 686, 276, 746, 772?

We can find the highest common divisor of 686, 276, 746, 772 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 686, 276, 746, 772 i.e 2.

3. How can I use the GCD of 686, 276, 746, 772Calculator?

Out the numbers 686, 276, 746, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.