GCD of 678, 777, 501, 147 Calculator

Given Input numbers are 678, 777, 501, 147

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

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 777 :

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

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

Divisors of 501 :

The positive integer divisors of 501 that completely divides 501 are.

1, 3, 167, 501

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

GCD of numbers is the greatest common divisor

So, the GCD (678, 777, 501, 147) = 3.

Given numbers are 678, 777, 501, 147

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 777 are 3 x 7 x 37

Prime factors of 501 are 3 x 167

Prime factors of 147 are 3 x 7 x 7

The highest common occurrence is 3¹

Therefore, GCD of 678, 777, 501, 147 is 3.

Given numbers are 678, 777, 501, 147

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

Apply this formula for all numbers.

Step1:

LCM(678, 777) = 175602

GCD(678, 777) = ( 678 x 777 ) / 175602

= 678 / 777

= 678

Step2:

LCM(3, 501) = 501

GCD(3, 501) = ( 3 x 501 ) / 501

= 3 / 501

= 3

Step3:

LCM(3, 147) = 147

GCD(3, 147) = ( 3 x 147 ) / 147

= 3 / 147

= 3

So, Greatest Common Divisor of 678, 777, 501, 147 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 270, 232, 900, 977
• GCD of 236, 955, 628, 321
• GCD of 933, 114, 315, 619
• GCD of 324, 139, 965, 458
• GCD of 324, 934, 921, 514

Given numbers are 678, 777, 501, 147
The greatest common divisor of numbers 678, 777, 501, 147 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 777, 501, 147 is 3.

1. What is the GCD of 678, 777, 501, 147?

GCD of given numbers 678, 777, 501, 147 is 3

2. How to calculate the greatest common divisor of 678, 777, 501, 147?

We can find the highest common divisor of 678, 777, 501, 147 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 678, 777, 501, 147 i.e 3.

3. How can I use the GCD of 678, 777, 501, 147Calculator?

Out the numbers 678, 777, 501, 147 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.