Online GCD Calculator is useful to find the GCD of 998, 429, 695, 840 quickly. Get the easiest ways to solve the greatest common divisor of 998, 429, 695, 840 i.e 1 in different methods as follows.
Given Input numbers are 998, 429, 695, 840
In the factoring method, we have to find the divisors of all numbers
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 695 :
The positive integer divisors of 695 that completely divides 695 are.
1, 5, 139, 695
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
GCD of numbers is the greatest common divisor
So, the GCD (998, 429, 695, 840) = 1.
Given numbers are 998, 429, 695, 840
The list of prime factors of all numbers are
Prime factors of 998 are 2 x 499
Prime factors of 429 are 3 x 11 x 13
Prime factors of 695 are 5 x 139
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 998, 429, 695, 840
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(998, 429) = 428142
GCD(998, 429) = ( 998 x 429 ) / 428142
= 998 / 429
= 998
Step2:
LCM(1, 695) = 695
GCD(1, 695) = ( 1 x 695 ) / 695
= 1 / 695
= 1
Step3:
LCM(1, 840) = 840
GCD(1, 840) = ( 1 x 840 ) / 840
= 1 / 840
= 1
So, Greatest Common Divisor of 998, 429, 695, 840 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 998, 429, 695, 840
The greatest common divisor of numbers 998, 429, 695, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 429, 695, 840 is 1.
1. What is the GCD of 998, 429, 695, 840?
GCD of given numbers 998, 429, 695, 840 is 1
2. How to calculate the greatest common divisor of 998, 429, 695, 840?
We can find the highest common divisor of 998, 429, 695, 840 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 998, 429, 695, 840 i.e 1.
3. How can I use the GCD of 998, 429, 695, 840Calculator?
Out the numbers 998, 429, 695, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.