GCD of 553, 777, 455, 420 Calculator

Given Input numbers are 553, 777, 455, 420

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 777 :

The positive integer divisors of 777 that completely divides 777 are.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 455 :

The positive integer divisors of 455 that completely divides 455 are.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (553, 777, 455, 420) = 7.

Given numbers are 553, 777, 455, 420

The list of prime factors of all numbers are

Prime factors of 553 are 7 x 79

Prime factors of 777 are 3 x 7 x 37

Prime factors of 455 are 5 x 7 x 13

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The highest common occurrence is 7¹

Therefore, GCD of 553, 777, 455, 420 is 7.

Given numbers are 553, 777, 455, 420

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

Apply this formula for all numbers.

Step1:

LCM(553, 777) = 61383

GCD(553, 777) = ( 553 x 777 ) / 61383

= 553 / 777

= 553

Step2:

LCM(7, 455) = 455

GCD(7, 455) = ( 7 x 455 ) / 455

= 7 / 455

= 7

Step3:

LCM(7, 420) = 420

GCD(7, 420) = ( 7 x 420 ) / 420

= 7 / 420

= 7

So, Greatest Common Divisor of 553, 777, 455, 420 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 777, 608, 427, 714
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• GCD of 527, 412, 585, 534

Given numbers are 553, 777, 455, 420
The greatest common divisor of numbers 553, 777, 455, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 553, 777, 455, 420 is 7.

1. What is the GCD of 553, 777, 455, 420?

GCD of given numbers 553, 777, 455, 420 is 7

2. How to calculate the greatest common divisor of 553, 777, 455, 420?

We can find the highest common divisor of 553, 777, 455, 420 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, 777, 455, 420 i.e 7.

3. How can I use the GCD of 553, 777, 455, 420Calculator?

Out the numbers 553, 777, 455, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.