Online GCD Calculator is useful to find the GCD of 740, 682, 602, 490 quickly. Get the easiest ways to solve the greatest common divisor of 740, 682, 602, 490 i.e 2 in different methods as follows.
Given Input numbers are 740, 682, 602, 490
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 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 602 :
The positive integer divisors of 602 that completely divides 602 are.
1, 2, 7, 14, 43, 86, 301, 602
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
GCD of numbers is the greatest common divisor
So, the GCD (740, 682, 602, 490) = 2.
Given numbers are 740, 682, 602, 490
The list of prime factors of all numbers are
Prime factors of 740 are 2 x 2 x 5 x 37
Prime factors of 682 are 2 x 11 x 31
Prime factors of 602 are 2 x 7 x 43
Prime factors of 490 are 2 x 5 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 740, 682, 602, 490 is 2.
Given numbers are 740, 682, 602, 490
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(740, 682) = 252340
GCD(740, 682) = ( 740 x 682 ) / 252340
= 740 / 682
= 740
Step2:
LCM(2, 602) = 602
GCD(2, 602) = ( 2 x 602 ) / 602
= 2 / 602
= 2
Step3:
LCM(2, 490) = 490
GCD(2, 490) = ( 2 x 490 ) / 490
= 2 / 490
= 2
So, Greatest Common Divisor of 740, 682, 602, 490 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 740, 682, 602, 490
The greatest common divisor of numbers 740, 682, 602, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 740, 682, 602, 490 is 2.
1. What is the GCD of 740, 682, 602, 490?
GCD of given numbers 740, 682, 602, 490 is 2
2. How to calculate the greatest common divisor of 740, 682, 602, 490?
We can find the highest common divisor of 740, 682, 602, 490 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, 682, 602, 490 i.e 2.
3. How can I use the GCD of 740, 682, 602, 490Calculator?
Out the numbers 740, 682, 602, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.