Online GCD Calculator is useful to find the GCD of 302, 700, 707, 550 quickly. Get the easiest ways to solve the greatest common divisor of 302, 700, 707, 550 i.e 1 in different methods as follows.
Given Input numbers are 302, 700, 707, 550
In the factoring method, we have to find the divisors of all numbers
Divisors of 302 :
The positive integer divisors of 302 that completely divides 302 are.
1, 2, 151, 302
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 707 :
The positive integer divisors of 707 that completely divides 707 are.
1, 7, 101, 707
Divisors of 550 :
The positive integer divisors of 550 that completely divides 550 are.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
GCD of numbers is the greatest common divisor
So, the GCD (302, 700, 707, 550) = 1.
Given numbers are 302, 700, 707, 550
The list of prime factors of all numbers are
Prime factors of 302 are 2 x 151
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 707 are 7 x 101
Prime factors of 550 are 2 x 5 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 302, 700, 707, 550
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(302, 700) = 105700
GCD(302, 700) = ( 302 x 700 ) / 105700
= 302 / 700
= 302
Step2:
LCM(2, 707) = 1414
GCD(2, 707) = ( 2 x 707 ) / 1414
= 2 / 707
= 2
Step3:
LCM(1, 550) = 550
GCD(1, 550) = ( 1 x 550 ) / 550
= 1 / 550
= 1
So, Greatest Common Divisor of 302, 700, 707, 550 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 302, 700, 707, 550
The greatest common divisor of numbers 302, 700, 707, 550 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 302, 700, 707, 550 is 1.
1. What is the GCD of 302, 700, 707, 550?
GCD of given numbers 302, 700, 707, 550 is 1
2. How to calculate the greatest common divisor of 302, 700, 707, 550?
We can find the highest common divisor of 302, 700, 707, 550 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 302, 700, 707, 550 i.e 1.
3. How can I use the GCD of 302, 700, 707, 550Calculator?
Out the numbers 302, 700, 707, 550 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.