GCD of 676, 278, 448 Calculator

Given Input numbers are 676, 278, 448

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

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 278 :

The positive integer divisors of 278 that completely divides 278 are.

1, 2, 139, 278

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

GCD of numbers is the greatest common divisor

So, the GCD (676, 278, 448) = 2.

Given numbers are 676, 278, 448

The list of prime factors of all numbers are

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 278 are 2 x 139

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 676, 278, 448 is 2.

Given numbers are 676, 278, 448

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

Apply this formula for all numbers.

Step1:

LCM(676, 278) = 93964

GCD(676, 278) = ( 676 x 278 ) / 93964

= 676 / 278

= 676

Step2:

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

= 2 / 448

= 2

So, Greatest Common Divisor of 676, 278, 448 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 985, 298, 856
• GCD of 234, 332, 635
• GCD of 619, 790, 614
• GCD of 141, 571, 869
• GCD of 519, 643, 442

Given numbers are 676, 278, 448
The greatest common divisor of numbers 676, 278, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 278, 448 is 2.

1. What is the GCD of 676, 278, 448?

GCD of given numbers 676, 278, 448 is 2

2. How to calculate the greatest common divisor of 676, 278, 448?

We can find the highest common divisor of 676, 278, 448 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 676, 278, 448 i.e 2.

3. How can I use the GCD of 676, 278, 448Calculator?

Out the numbers 676, 278, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.