Online GCD Calculator is useful to find the GCD of 722, 490, 632, 156 quickly. Get the easiest ways to solve the greatest common divisor of 722, 490, 632, 156 i.e 2 in different methods as follows.
Given Input numbers are 722, 490, 632, 156
In the factoring method, we have to find the divisors of all numbers
Divisors of 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
Divisors of 490 :
The positive integer divisors of 490 that completely divides 490 are.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 632 :
The positive integer divisors of 632 that completely divides 632 are.
1, 2, 4, 8, 79, 158, 316, 632
Divisors of 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
GCD of numbers is the greatest common divisor
So, the GCD (722, 490, 632, 156) = 2.
Given numbers are 722, 490, 632, 156
The list of prime factors of all numbers are
Prime factors of 722 are 2 x 19 x 19
Prime factors of 490 are 2 x 5 x 7 x 7
Prime factors of 632 are 2 x 2 x 2 x 79
Prime factors of 156 are 2 x 2 x 3 x 13
The highest common occurrence is 21
Therefore, GCD of 722, 490, 632, 156 is 2.
Given numbers are 722, 490, 632, 156
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(722, 490) = 176890
GCD(722, 490) = ( 722 x 490 ) / 176890
= 722 / 490
= 722
Step2:
LCM(2, 632) = 632
GCD(2, 632) = ( 2 x 632 ) / 632
= 2 / 632
= 2
Step3:
LCM(2, 156) = 156
GCD(2, 156) = ( 2 x 156 ) / 156
= 2 / 156
= 2
So, Greatest Common Divisor of 722, 490, 632, 156 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 722, 490, 632, 156
The greatest common divisor of numbers 722, 490, 632, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 722, 490, 632, 156 is 2.
1. What is the GCD of 722, 490, 632, 156?
GCD of given numbers 722, 490, 632, 156 is 2
2. How to calculate the greatest common divisor of 722, 490, 632, 156?
We can find the highest common divisor of 722, 490, 632, 156 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 722, 490, 632, 156 i.e 2.
3. How can I use the GCD of 722, 490, 632, 156Calculator?
Out the numbers 722, 490, 632, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.