Online GCD Calculator is useful to find the GCD of 654, 738, 700, 730 quickly. Get the easiest ways to solve the greatest common divisor of 654, 738, 700, 730 i.e 2 in different methods as follows.
Given Input numbers are 654, 738, 700, 730
In the factoring method, we have to find the divisors of all numbers
Divisors of 654 :
The positive integer divisors of 654 that completely divides 654 are.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
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 730 :
The positive integer divisors of 730 that completely divides 730 are.
1, 2, 5, 10, 73, 146, 365, 730
GCD of numbers is the greatest common divisor
So, the GCD (654, 738, 700, 730) = 2.
Given numbers are 654, 738, 700, 730
The list of prime factors of all numbers are
Prime factors of 654 are 2 x 3 x 109
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 730 are 2 x 5 x 73
The highest common occurrence is 21
Therefore, GCD of 654, 738, 700, 730 is 2.
Given numbers are 654, 738, 700, 730
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(654, 738) = 80442
GCD(654, 738) = ( 654 x 738 ) / 80442
= 654 / 738
= 654
Step2:
LCM(6, 700) = 2100
GCD(6, 700) = ( 6 x 700 ) / 2100
= 6 / 700
= 6
Step3:
LCM(2, 730) = 730
GCD(2, 730) = ( 2 x 730 ) / 730
= 2 / 730
= 2
So, Greatest Common Divisor of 654, 738, 700, 730 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 654, 738, 700, 730
The greatest common divisor of numbers 654, 738, 700, 730 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 738, 700, 730 is 2.
1. What is the GCD of 654, 738, 700, 730?
GCD of given numbers 654, 738, 700, 730 is 2
2. How to calculate the greatest common divisor of 654, 738, 700, 730?
We can find the highest common divisor of 654, 738, 700, 730 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 654, 738, 700, 730 i.e 2.
3. How can I use the GCD of 654, 738, 700, 730Calculator?
Out the numbers 654, 738, 700, 730 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.