GCD of 553, 196, 427 Calculator

Given Input numbers are 553, 196, 427

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

Divisors of 553 :

The positive integer divisors of 553 that completely divides 553 are.

1, 7, 79, 553

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

GCD of numbers is the greatest common divisor

So, the GCD (553, 196, 427) = 7.

Given numbers are 553, 196, 427

The list of prime factors of all numbers are

Prime factors of 553 are 7 x 79

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 427 are 7 x 61

The highest common occurrence is 7¹

Therefore, GCD of 553, 196, 427 is 7.

Given numbers are 553, 196, 427

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

Apply this formula for all numbers.

Step1:

LCM(553, 196) = 15484

GCD(553, 196) = ( 553 x 196 ) / 15484

= 553 / 196

= 553

Step2:

LCM(7, 427) = 427

GCD(7, 427) = ( 7 x 427 ) / 427

= 7 / 427

= 7

So, Greatest Common Divisor of 553, 196, 427 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 145, 118, 642
• GCD of 725, 815, 553
• GCD of 870, 863, 863
• GCD of 586, 944, 562
• GCD of 949, 588, 240

Given numbers are 553, 196, 427
The greatest common divisor of numbers 553, 196, 427 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 553, 196, 427 is 7.

1. What is the GCD of 553, 196, 427?

GCD of given numbers 553, 196, 427 is 7

2. How to calculate the greatest common divisor of 553, 196, 427?

We can find the highest common divisor of 553, 196, 427 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 553, 196, 427 i.e 7.

3. How can I use the GCD of 553, 196, 427Calculator?

Out the numbers 553, 196, 427 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.