GCD of 231, 762, 777, 294 Calculator

Given Input numbers are 231, 762, 777, 294

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

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 777 :

The positive integer divisors of 777 that completely divides 777 are.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

GCD of numbers is the greatest common divisor

So, the GCD (231, 762, 777, 294) = 3.

Given numbers are 231, 762, 777, 294

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 762 are 2 x 3 x 127

Prime factors of 777 are 3 x 7 x 37

Prime factors of 294 are 2 x 3 x 7 x 7

The highest common occurrence is 3¹

Therefore, GCD of 231, 762, 777, 294 is 3.

Given numbers are 231, 762, 777, 294

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

Apply this formula for all numbers.

Step1:

LCM(231, 762) = 58674

GCD(231, 762) = ( 231 x 762 ) / 58674

= 231 / 762

= 231

Step2:

LCM(3, 777) = 777

GCD(3, 777) = ( 3 x 777 ) / 777

= 3 / 777

= 3

Step3:

LCM(3, 294) = 294

GCD(3, 294) = ( 3 x 294 ) / 294

= 3 / 294

= 3

So, Greatest Common Divisor of 231, 762, 777, 294 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 111, 676, 458, 807
• GCD of 798, 186, 107, 339
• GCD of 555, 257, 740, 660
• GCD of 239, 827, 904, 653
• GCD of 962, 578, 834, 161

Given numbers are 231, 762, 777, 294
The greatest common divisor of numbers 231, 762, 777, 294 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 762, 777, 294 is 3.

1. What is the GCD of 231, 762, 777, 294?

GCD of given numbers 231, 762, 777, 294 is 3

2. How to calculate the greatest common divisor of 231, 762, 777, 294?

We can find the highest common divisor of 231, 762, 777, 294 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 231, 762, 777, 294 i.e 3.

3. How can I use the GCD of 231, 762, 777, 294Calculator?

Out the numbers 231, 762, 777, 294 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.