Online GCD Calculator is useful to find the GCD of 174, 672, 507, 420 quickly. Get the easiest ways to solve the greatest common divisor of 174, 672, 507, 420 i.e 3 in different methods as follows.
Given Input numbers are 174, 672, 507, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 174 :
The positive integer divisors of 174 that completely divides 174 are.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 672 :
The positive integer divisors of 672 that completely divides 672 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Divisors of 507 :
The positive integer divisors of 507 that completely divides 507 are.
1, 3, 13, 39, 169, 507
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 (174, 672, 507, 420) = 3.
Given numbers are 174, 672, 507, 420
The list of prime factors of all numbers are
Prime factors of 174 are 2 x 3 x 29
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 507 are 3 x 13 x 13
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The highest common occurrence is 31
Therefore, GCD of 174, 672, 507, 420 is 3.
Given numbers are 174, 672, 507, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(174, 672) = 19488
GCD(174, 672) = ( 174 x 672 ) / 19488
= 174 / 672
= 174
Step2:
LCM(6, 507) = 1014
GCD(6, 507) = ( 6 x 507 ) / 1014
= 6 / 507
= 6
Step3:
LCM(3, 420) = 420
GCD(3, 420) = ( 3 x 420 ) / 420
= 3 / 420
= 3
So, Greatest Common Divisor of 174, 672, 507, 420 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 174, 672, 507, 420
The greatest common divisor of numbers 174, 672, 507, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 174, 672, 507, 420 is 3.
1. What is the GCD of 174, 672, 507, 420?
GCD of given numbers 174, 672, 507, 420 is 3
2. How to calculate the greatest common divisor of 174, 672, 507, 420?
We can find the highest common divisor of 174, 672, 507, 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 174, 672, 507, 420 i.e 3.
3. How can I use the GCD of 174, 672, 507, 420Calculator?
Out the numbers 174, 672, 507, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.