Online GCD Calculator is useful to find the GCD of 962, 302, 292, 420 quickly. Get the easiest ways to solve the greatest common divisor of 962, 302, 292, 420 i.e 2 in different methods as follows.
Given Input numbers are 962, 302, 292, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 962 :
The positive integer divisors of 962 that completely divides 962 are.
1, 2, 13, 26, 37, 74, 481, 962
Divisors of 302 :
The positive integer divisors of 302 that completely divides 302 are.
1, 2, 151, 302
Divisors of 292 :
The positive integer divisors of 292 that completely divides 292 are.
1, 2, 4, 73, 146, 292
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
GCD of numbers is the greatest common divisor
So, the GCD (962, 302, 292, 420) = 2.
Given numbers are 962, 302, 292, 420
The list of prime factors of all numbers are
Prime factors of 962 are 2 x 13 x 37
Prime factors of 302 are 2 x 151
Prime factors of 292 are 2 x 2 x 73
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 962, 302, 292, 420 is 2.
Given numbers are 962, 302, 292, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(962, 302) = 145262
GCD(962, 302) = ( 962 x 302 ) / 145262
= 962 / 302
= 962
Step2:
LCM(2, 292) = 292
GCD(2, 292) = ( 2 x 292 ) / 292
= 2 / 292
= 2
Step3:
LCM(2, 420) = 420
GCD(2, 420) = ( 2 x 420 ) / 420
= 2 / 420
= 2
So, Greatest Common Divisor of 962, 302, 292, 420 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 962, 302, 292, 420
The greatest common divisor of numbers 962, 302, 292, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 962, 302, 292, 420 is 2.
1. What is the GCD of 962, 302, 292, 420?
GCD of given numbers 962, 302, 292, 420 is 2
2. How to calculate the greatest common divisor of 962, 302, 292, 420?
We can find the highest common divisor of 962, 302, 292, 420 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 962, 302, 292, 420 i.e 2.
3. How can I use the GCD of 962, 302, 292, 420Calculator?
Out the numbers 962, 302, 292, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.