GCD of 678, 674, 48, 616 Calculator

Given Input numbers are 678, 674, 48, 616

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 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 48 :

The positive integer divisors of 48 that completely divides 48 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

GCD of numbers is the greatest common divisor

So, the GCD (678, 674, 48, 616) = 2.

Given numbers are 678, 674, 48, 616

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 674 are 2 x 337

Prime factors of 48 are 2 x 2 x 2 x 2 x 3

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 678, 674, 48, 616 is 2.

Given numbers are 678, 674, 48, 616

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

Apply this formula for all numbers.

Step1:

LCM(678, 674) = 228486

GCD(678, 674) = ( 678 x 674 ) / 228486

= 678 / 674

= 678

Step2:

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

= 2 / 48

= 2

Step3:

LCM(2, 616) = 616

GCD(2, 616) = ( 2 x 616 ) / 616

= 2 / 616

= 2

So, Greatest Common Divisor of 678, 674, 48, 616 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 936, 574, 45, 757
• GCD of 891, 897, 49, 469
• GCD of 360, 260, 58, 231
• GCD of 772, 574, 34, 584
• GCD of 649, 516, 17, 403

Given numbers are 678, 674, 48, 616
The greatest common divisor of numbers 678, 674, 48, 616 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 674, 48, 616 is 2.

1. What is the GCD of 678, 674, 48, 616?

GCD of given numbers 678, 674, 48, 616 is 2

2. How to calculate the greatest common divisor of 678, 674, 48, 616?

We can find the highest common divisor of 678, 674, 48, 616 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, 674, 48, 616 i.e 2.

3. How can I use the GCD of 678, 674, 48, 616Calculator?

Out the numbers 678, 674, 48, 616 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.