Online GCD Calculator is useful to find the GCD of 490, 420, 795, 740 quickly. Get the easiest ways to solve the greatest common divisor of 490, 420, 795, 740 i.e 5 in different methods as follows.
Given Input numbers are 490, 420, 795, 740
In the factoring method, we have to find the divisors of all numbers
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 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 795 :
The positive integer divisors of 795 that completely divides 795 are.
1, 3, 5, 15, 53, 159, 265, 795
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
GCD of numbers is the greatest common divisor
So, the GCD (490, 420, 795, 740) = 5.
Given numbers are 490, 420, 795, 740
The list of prime factors of all numbers are
Prime factors of 490 are 2 x 5 x 7 x 7
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 795 are 3 x 5 x 53
Prime factors of 740 are 2 x 2 x 5 x 37
The highest common occurrence is 51
Therefore, GCD of 490, 420, 795, 740 is 5.
Given numbers are 490, 420, 795, 740
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(490, 420) = 2940
GCD(490, 420) = ( 490 x 420 ) / 2940
= 490 / 420
= 490
Step2:
LCM(70, 795) = 11130
GCD(70, 795) = ( 70 x 795 ) / 11130
= 70 / 795
= 70
Step3:
LCM(5, 740) = 740
GCD(5, 740) = ( 5 x 740 ) / 740
= 5 / 740
= 5
So, Greatest Common Divisor of 490, 420, 795, 740 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 490, 420, 795, 740
The greatest common divisor of numbers 490, 420, 795, 740 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 420, 795, 740 is 5.
1. What is the GCD of 490, 420, 795, 740?
GCD of given numbers 490, 420, 795, 740 is 5
2. How to calculate the greatest common divisor of 490, 420, 795, 740?
We can find the highest common divisor of 490, 420, 795, 740 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 490, 420, 795, 740 i.e 5.
3. How can I use the GCD of 490, 420, 795, 740Calculator?
Out the numbers 490, 420, 795, 740 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.