Online GCD Calculator is useful to find the GCD of 800, 354, 490, 742 quickly. Get the easiest ways to solve the greatest common divisor of 800, 354, 490, 742 i.e 2 in different methods as follows.
Given Input numbers are 800, 354, 490, 742
In the factoring method, we have to find the divisors of all numbers
Divisors of 800 :
The positive integer divisors of 800 that completely divides 800 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
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 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
GCD of numbers is the greatest common divisor
So, the GCD (800, 354, 490, 742) = 2.
Given numbers are 800, 354, 490, 742
The list of prime factors of all numbers are
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 354 are 2 x 3 x 59
Prime factors of 490 are 2 x 5 x 7 x 7
Prime factors of 742 are 2 x 7 x 53
The highest common occurrence is 21
Therefore, GCD of 800, 354, 490, 742 is 2.
Given numbers are 800, 354, 490, 742
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(800, 354) = 141600
GCD(800, 354) = ( 800 x 354 ) / 141600
= 800 / 354
= 800
Step2:
LCM(2, 490) = 490
GCD(2, 490) = ( 2 x 490 ) / 490
= 2 / 490
= 2
Step3:
LCM(2, 742) = 742
GCD(2, 742) = ( 2 x 742 ) / 742
= 2 / 742
= 2
So, Greatest Common Divisor of 800, 354, 490, 742 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 800, 354, 490, 742
The greatest common divisor of numbers 800, 354, 490, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 354, 490, 742 is 2.
1. What is the GCD of 800, 354, 490, 742?
GCD of given numbers 800, 354, 490, 742 is 2
2. How to calculate the greatest common divisor of 800, 354, 490, 742?
We can find the highest common divisor of 800, 354, 490, 742 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 800, 354, 490, 742 i.e 2.
3. How can I use the GCD of 800, 354, 490, 742Calculator?
Out the numbers 800, 354, 490, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.