Online GCD Calculator is useful to find the GCD of 320, 692, 100, 802 quickly. Get the easiest ways to solve the greatest common divisor of 320, 692, 100, 802 i.e 2 in different methods as follows.
Given Input numbers are 320, 692, 100, 802
In the factoring method, we have to find the divisors of all numbers
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 802 :
The positive integer divisors of 802 that completely divides 802 are.
1, 2, 401, 802
GCD of numbers is the greatest common divisor
So, the GCD (320, 692, 100, 802) = 2.
Given numbers are 320, 692, 100, 802
The list of prime factors of all numbers are
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 692 are 2 x 2 x 173
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 802 are 2 x 401
The highest common occurrence is 21
Therefore, GCD of 320, 692, 100, 802 is 2.
Given numbers are 320, 692, 100, 802
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(320, 692) = 55360
GCD(320, 692) = ( 320 x 692 ) / 55360
= 320 / 692
= 320
Step2:
LCM(4, 100) = 100
GCD(4, 100) = ( 4 x 100 ) / 100
= 4 / 100
= 4
Step3:
LCM(4, 802) = 1604
GCD(4, 802) = ( 4 x 802 ) / 1604
= 4 / 802
= 4
So, Greatest Common Divisor of 320, 692, 100, 802 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 320, 692, 100, 802
The greatest common divisor of numbers 320, 692, 100, 802 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 692, 100, 802 is 2.
1. What is the GCD of 320, 692, 100, 802?
GCD of given numbers 320, 692, 100, 802 is 2
2. How to calculate the greatest common divisor of 320, 692, 100, 802?
We can find the highest common divisor of 320, 692, 100, 802 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 320, 692, 100, 802 i.e 2.
3. How can I use the GCD of 320, 692, 100, 802Calculator?
Out the numbers 320, 692, 100, 802 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.