Online GCD Calculator is useful to find the GCD of 553, 777, 455, 420 quickly. Get the easiest ways to solve the greatest common divisor of 553, 777, 455, 420 i.e 7 in different methods as follows.
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.
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.