Online GCD Calculator is useful to find the GCD of 740, 730, 675, 498 quickly. Get the easiest ways to solve the greatest common divisor of 740, 730, 675, 498 i.e 1 in different methods as follows.
Given Input numbers are 740, 730, 675, 498
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 730 :
The positive integer divisors of 730 that completely divides 730 are.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 498 :
The positive integer divisors of 498 that completely divides 498 are.
1, 2, 3, 6, 83, 166, 249, 498
GCD of numbers is the greatest common divisor
So, the GCD (740, 730, 675, 498) = 1.
Given numbers are 740, 730, 675, 498
The list of prime factors of all numbers are
Prime factors of 740 are 2 x 2 x 5 x 37
Prime factors of 730 are 2 x 5 x 73
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
Prime factors of 498 are 2 x 3 x 83
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 740, 730, 675, 498
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(740, 730) = 54020
GCD(740, 730) = ( 740 x 730 ) / 54020
= 740 / 730
= 740
Step2:
LCM(10, 675) = 1350
GCD(10, 675) = ( 10 x 675 ) / 1350
= 10 / 675
= 10
Step3:
LCM(5, 498) = 2490
GCD(5, 498) = ( 5 x 498 ) / 2490
= 5 / 498
= 5
So, Greatest Common Divisor of 740, 730, 675, 498 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 740, 730, 675, 498
The greatest common divisor of numbers 740, 730, 675, 498 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 740, 730, 675, 498 is 1.
1. What is the GCD of 740, 730, 675, 498?
GCD of given numbers 740, 730, 675, 498 is 1
2. How to calculate the greatest common divisor of 740, 730, 675, 498?
We can find the highest common divisor of 740, 730, 675, 498 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, 730, 675, 498 i.e 1.
3. How can I use the GCD of 740, 730, 675, 498Calculator?
Out the numbers 740, 730, 675, 498 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.