GCD of 118, 890, 448, 676 Calculator

Given Input numbers are 118, 890, 448, 676

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

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

Divisors of 890 :

The positive integer divisors of 890 that completely divides 890 are.

1, 2, 5, 10, 89, 178, 445, 890

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

Divisors of 676 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (118, 890, 448, 676) = 2.

Given numbers are 118, 890, 448, 676

The list of prime factors of all numbers are

Prime factors of 118 are 2 x 59

Prime factors of 890 are 2 x 5 x 89

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

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

The highest common occurrence is 2¹

Therefore, GCD of 118, 890, 448, 676 is 2.

Given numbers are 118, 890, 448, 676

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

Apply this formula for all numbers.

Step1:

LCM(118, 890) = 52510

GCD(118, 890) = ( 118 x 890 ) / 52510

= 118 / 890

= 118

Step2:

LCM(2, 448) = 448

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

= 2 / 448

= 2

Step3:

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

= 2 / 676

= 2

So, Greatest Common Divisor of 118, 890, 448, 676 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 129, 448, 602, 760
• GCD of 215, 906, 858, 542
• GCD of 168, 801, 450, 154
• GCD of 809, 726, 118, 254
• GCD of 245, 479, 523, 106

Given numbers are 118, 890, 448, 676
The greatest common divisor of numbers 118, 890, 448, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 118, 890, 448, 676 is 2.

1. What is the GCD of 118, 890, 448, 676?

GCD of given numbers 118, 890, 448, 676 is 2

2. How to calculate the greatest common divisor of 118, 890, 448, 676?

We can find the highest common divisor of 118, 890, 448, 676 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 118, 890, 448, 676 i.e 2.

3. How can I use the GCD of 118, 890, 448, 676Calculator?

Out the numbers 118, 890, 448, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.