Online GCD Calculator is useful to find the GCD of 762, 802, 608, 998 quickly. Get the easiest ways to solve the greatest common divisor of 762, 802, 608, 998 i.e 2 in different methods as follows.
Given Input numbers are 762, 802, 608, 998
In the factoring method, we have to find the divisors of all numbers
Divisors of 762 :
The positive integer divisors of 762 that completely divides 762 are.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 802 :
The positive integer divisors of 802 that completely divides 802 are.
1, 2, 401, 802
Divisors of 608 :
The positive integer divisors of 608 that completely divides 608 are.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
GCD of numbers is the greatest common divisor
So, the GCD (762, 802, 608, 998) = 2.
Given numbers are 762, 802, 608, 998
The list of prime factors of all numbers are
Prime factors of 762 are 2 x 3 x 127
Prime factors of 802 are 2 x 401
Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19
Prime factors of 998 are 2 x 499
The highest common occurrence is 21
Therefore, GCD of 762, 802, 608, 998 is 2.
Given numbers are 762, 802, 608, 998
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(762, 802) = 305562
GCD(762, 802) = ( 762 x 802 ) / 305562
= 762 / 802
= 762
Step2:
LCM(2, 608) = 608
GCD(2, 608) = ( 2 x 608 ) / 608
= 2 / 608
= 2
Step3:
LCM(2, 998) = 998
GCD(2, 998) = ( 2 x 998 ) / 998
= 2 / 998
= 2
So, Greatest Common Divisor of 762, 802, 608, 998 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 762, 802, 608, 998
The greatest common divisor of numbers 762, 802, 608, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 762, 802, 608, 998 is 2.
1. What is the GCD of 762, 802, 608, 998?
GCD of given numbers 762, 802, 608, 998 is 2
2. How to calculate the greatest common divisor of 762, 802, 608, 998?
We can find the highest common divisor of 762, 802, 608, 998 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 762, 802, 608, 998 i.e 2.
3. How can I use the GCD of 762, 802, 608, 998Calculator?
Out the numbers 762, 802, 608, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.