Online GCD Calculator is useful to find the GCD of 740, 126, 352, 468 quickly. Get the easiest ways to solve the greatest common divisor of 740, 126, 352, 468 i.e 2 in different methods as follows.
Given Input numbers are 740, 126, 352, 468
In the factoring method, we have to find the divisors of all numbers
Divisors of 740 :
The positive integer divisors of 740 that completely divides 740 are.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 352 :
The positive integer divisors of 352 that completely divides 352 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
GCD of numbers is the greatest common divisor
So, the GCD (740, 126, 352, 468) = 2.
Given numbers are 740, 126, 352, 468
The list of prime factors of all numbers are
Prime factors of 740 are 2 x 2 x 5 x 37
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
The highest common occurrence is 21
Therefore, GCD of 740, 126, 352, 468 is 2.
Given numbers are 740, 126, 352, 468
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(740, 126) = 46620
GCD(740, 126) = ( 740 x 126 ) / 46620
= 740 / 126
= 740
Step2:
LCM(2, 352) = 352
GCD(2, 352) = ( 2 x 352 ) / 352
= 2 / 352
= 2
Step3:
LCM(2, 468) = 468
GCD(2, 468) = ( 2 x 468 ) / 468
= 2 / 468
= 2
So, Greatest Common Divisor of 740, 126, 352, 468 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 740, 126, 352, 468
The greatest common divisor of numbers 740, 126, 352, 468 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 740, 126, 352, 468 is 2.
1. What is the GCD of 740, 126, 352, 468?
GCD of given numbers 740, 126, 352, 468 is 2
2. How to calculate the greatest common divisor of 740, 126, 352, 468?
We can find the highest common divisor of 740, 126, 352, 468 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 740, 126, 352, 468 i.e 2.
3. How can I use the GCD of 740, 126, 352, 468Calculator?
Out the numbers 740, 126, 352, 468 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.