Online GCD Calculator is useful to find the GCD of 714, 202, 467, 400 quickly. Get the easiest ways to solve the greatest common divisor of 714, 202, 467, 400 i.e 1 in different methods as follows.
Given Input numbers are 714, 202, 467, 400
In the factoring method, we have to find the divisors of all numbers
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 202 :
The positive integer divisors of 202 that completely divides 202 are.
1, 2, 101, 202
Divisors of 467 :
The positive integer divisors of 467 that completely divides 467 are.
1, 467
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
GCD of numbers is the greatest common divisor
So, the GCD (714, 202, 467, 400) = 1.
Given numbers are 714, 202, 467, 400
The list of prime factors of all numbers are
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 202 are 2 x 101
Prime factors of 467 are 467
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 714, 202, 467, 400
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(714, 202) = 72114
GCD(714, 202) = ( 714 x 202 ) / 72114
= 714 / 202
= 714
Step2:
LCM(2, 467) = 934
GCD(2, 467) = ( 2 x 467 ) / 934
= 2 / 467
= 2
Step3:
LCM(1, 400) = 400
GCD(1, 400) = ( 1 x 400 ) / 400
= 1 / 400
= 1
So, Greatest Common Divisor of 714, 202, 467, 400 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 714, 202, 467, 400
The greatest common divisor of numbers 714, 202, 467, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 202, 467, 400 is 1.
1. What is the GCD of 714, 202, 467, 400?
GCD of given numbers 714, 202, 467, 400 is 1
2. How to calculate the greatest common divisor of 714, 202, 467, 400?
We can find the highest common divisor of 714, 202, 467, 400 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 714, 202, 467, 400 i.e 1.
3. How can I use the GCD of 714, 202, 467, 400Calculator?
Out the numbers 714, 202, 467, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.