Online GCD Calculator is useful to find the GCD of 698, 900, 714, 378 quickly. Get the easiest ways to solve the greatest common divisor of 698, 900, 714, 378 i.e 2 in different methods as follows.
Given Input numbers are 698, 900, 714, 378
In the factoring method, we have to find the divisors of all numbers
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
GCD of numbers is the greatest common divisor
So, the GCD (698, 900, 714, 378) = 2.
Given numbers are 698, 900, 714, 378
The list of prime factors of all numbers are
Prime factors of 698 are 2 x 349
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 698, 900, 714, 378 is 2.
Given numbers are 698, 900, 714, 378
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(698, 900) = 314100
GCD(698, 900) = ( 698 x 900 ) / 314100
= 698 / 900
= 698
Step2:
LCM(2, 714) = 714
GCD(2, 714) = ( 2 x 714 ) / 714
= 2 / 714
= 2
Step3:
LCM(2, 378) = 378
GCD(2, 378) = ( 2 x 378 ) / 378
= 2 / 378
= 2
So, Greatest Common Divisor of 698, 900, 714, 378 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 698, 900, 714, 378
The greatest common divisor of numbers 698, 900, 714, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 900, 714, 378 is 2.
1. What is the GCD of 698, 900, 714, 378?
GCD of given numbers 698, 900, 714, 378 is 2
2. How to calculate the greatest common divisor of 698, 900, 714, 378?
We can find the highest common divisor of 698, 900, 714, 378 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 698, 900, 714, 378 i.e 2.
3. How can I use the GCD of 698, 900, 714, 378Calculator?
Out the numbers 698, 900, 714, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.