Online GCD Calculator is useful to find the GCD of 160, 700, 956, 122 quickly. Get the easiest ways to solve the greatest common divisor of 160, 700, 956, 122 i.e 2 in different methods as follows.
Given Input numbers are 160, 700, 956, 122
In the factoring method, we have to find the divisors of all numbers
Divisors of 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
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 956 :
The positive integer divisors of 956 that completely divides 956 are.
1, 2, 4, 239, 478, 956
Divisors of 122 :
The positive integer divisors of 122 that completely divides 122 are.
1, 2, 61, 122
GCD of numbers is the greatest common divisor
So, the GCD (160, 700, 956, 122) = 2.
Given numbers are 160, 700, 956, 122
The list of prime factors of all numbers are
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 956 are 2 x 2 x 239
Prime factors of 122 are 2 x 61
The highest common occurrence is 21
Therefore, GCD of 160, 700, 956, 122 is 2.
Given numbers are 160, 700, 956, 122
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(160, 700) = 5600
GCD(160, 700) = ( 160 x 700 ) / 5600
= 160 / 700
= 160
Step2:
LCM(20, 956) = 4780
GCD(20, 956) = ( 20 x 956 ) / 4780
= 20 / 956
= 20
Step3:
LCM(4, 122) = 244
GCD(4, 122) = ( 4 x 122 ) / 244
= 4 / 122
= 4
So, Greatest Common Divisor of 160, 700, 956, 122 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 160, 700, 956, 122
The greatest common divisor of numbers 160, 700, 956, 122 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 160, 700, 956, 122 is 2.
1. What is the GCD of 160, 700, 956, 122?
GCD of given numbers 160, 700, 956, 122 is 2
2. How to calculate the greatest common divisor of 160, 700, 956, 122?
We can find the highest common divisor of 160, 700, 956, 122 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 160, 700, 956, 122 i.e 2.
3. How can I use the GCD of 160, 700, 956, 122Calculator?
Out the numbers 160, 700, 956, 122 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.