Online GCD Calculator is useful to find the GCD of 176, 552, 700, 505 quickly. Get the easiest ways to solve the greatest common divisor of 176, 552, 700, 505 i.e 1 in different methods as follows.
Given Input numbers are 176, 552, 700, 505
In the factoring method, we have to find the divisors of all numbers
Divisors of 176 :
The positive integer divisors of 176 that completely divides 176 are.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Divisors of 552 :
The positive integer divisors of 552 that completely divides 552 are.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 505 :
The positive integer divisors of 505 that completely divides 505 are.
1, 5, 101, 505
GCD of numbers is the greatest common divisor
So, the GCD (176, 552, 700, 505) = 1.
Given numbers are 176, 552, 700, 505
The list of prime factors of all numbers are
Prime factors of 176 are 2 x 2 x 2 x 2 x 11
Prime factors of 552 are 2 x 2 x 2 x 3 x 23
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 505 are 5 x 101
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 176, 552, 700, 505
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(176, 552) = 12144
GCD(176, 552) = ( 176 x 552 ) / 12144
= 176 / 552
= 176
Step2:
LCM(8, 700) = 1400
GCD(8, 700) = ( 8 x 700 ) / 1400
= 8 / 700
= 8
Step3:
LCM(4, 505) = 2020
GCD(4, 505) = ( 4 x 505 ) / 2020
= 4 / 505
= 4
So, Greatest Common Divisor of 176, 552, 700, 505 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 176, 552, 700, 505
The greatest common divisor of numbers 176, 552, 700, 505 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 176, 552, 700, 505 is 1.
1. What is the GCD of 176, 552, 700, 505?
GCD of given numbers 176, 552, 700, 505 is 1
2. How to calculate the greatest common divisor of 176, 552, 700, 505?
We can find the highest common divisor of 176, 552, 700, 505 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 176, 552, 700, 505 i.e 1.
3. How can I use the GCD of 176, 552, 700, 505Calculator?
Out the numbers 176, 552, 700, 505 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.