Online GCD Calculator is useful to find the GCD of 700, 922, 279, 431 quickly. Get the easiest ways to solve the greatest common divisor of 700, 922, 279, 431 i.e 1 in different methods as follows.
Given Input numbers are 700, 922, 279, 431
In the factoring method, we have to find the divisors of all numbers
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 922 :
The positive integer divisors of 922 that completely divides 922 are.
1, 2, 461, 922
Divisors of 279 :
The positive integer divisors of 279 that completely divides 279 are.
1, 3, 9, 31, 93, 279
Divisors of 431 :
The positive integer divisors of 431 that completely divides 431 are.
1, 431
GCD of numbers is the greatest common divisor
So, the GCD (700, 922, 279, 431) = 1.
Given numbers are 700, 922, 279, 431
The list of prime factors of all numbers are
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 922 are 2 x 461
Prime factors of 279 are 3 x 3 x 31
Prime factors of 431 are 431
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 700, 922, 279, 431
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(700, 922) = 322700
GCD(700, 922) = ( 700 x 922 ) / 322700
= 700 / 922
= 700
Step2:
LCM(2, 279) = 558
GCD(2, 279) = ( 2 x 279 ) / 558
= 2 / 279
= 2
Step3:
LCM(1, 431) = 431
GCD(1, 431) = ( 1 x 431 ) / 431
= 1 / 431
= 1
So, Greatest Common Divisor of 700, 922, 279, 431 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 700, 922, 279, 431
The greatest common divisor of numbers 700, 922, 279, 431 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 922, 279, 431 is 1.
1. What is the GCD of 700, 922, 279, 431?
GCD of given numbers 700, 922, 279, 431 is 1
2. How to calculate the greatest common divisor of 700, 922, 279, 431?
We can find the highest common divisor of 700, 922, 279, 431 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 700, 922, 279, 431 i.e 1.
3. How can I use the GCD of 700, 922, 279, 431Calculator?
Out the numbers 700, 922, 279, 431 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.