GCD of 698, 676, 555, 112 Calculator

Given Input numbers are 698, 676, 555, 112

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

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

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 555 :

The positive integer divisors of 555 that completely divides 555 are.

1, 3, 5, 15, 37, 111, 185, 555

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

GCD of numbers is the greatest common divisor

So, the GCD (698, 676, 555, 112) = 1.

Given numbers are 698, 676, 555, 112

The list of prime factors of all numbers are

Prime factors of 698 are 2 x 349

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

Prime factors of 555 are 3 x 5 x 37

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 698, 676, 555, 112

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

Apply this formula for all numbers.

Step1:

LCM(698, 676) = 235924

GCD(698, 676) = ( 698 x 676 ) / 235924

= 698 / 676

= 698

Step2:

LCM(2, 555) = 1110

GCD(2, 555) = ( 2 x 555 ) / 1110

= 2 / 555

= 2

Step3:

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

= 1 / 112

= 1

So, Greatest Common Divisor of 698, 676, 555, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 267, 401, 116, 274
• GCD of 321, 558, 594, 644
• GCD of 466, 730, 888, 284
• GCD of 639, 553, 160, 206
• GCD of 513, 364, 593, 832

Given numbers are 698, 676, 555, 112
The greatest common divisor of numbers 698, 676, 555, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 676, 555, 112 is 1.

1. What is the GCD of 698, 676, 555, 112?

GCD of given numbers 698, 676, 555, 112 is 1

2. How to calculate the greatest common divisor of 698, 676, 555, 112?

We can find the highest common divisor of 698, 676, 555, 112 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 698, 676, 555, 112 i.e 1.

3. How can I use the GCD of 698, 676, 555, 112Calculator?

Out the numbers 698, 676, 555, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.