Online GCD Calculator is useful to find the GCD of 742, 420, 374, 246 quickly. Get the easiest ways to solve the greatest common divisor of 742, 420, 374, 246 i.e 2 in different methods as follows.
Given Input numbers are 742, 420, 374, 246
In the factoring method, we have to find the divisors of all numbers
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
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
Divisors of 374 :
The positive integer divisors of 374 that completely divides 374 are.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 246 :
The positive integer divisors of 246 that completely divides 246 are.
1, 2, 3, 6, 41, 82, 123, 246
GCD of numbers is the greatest common divisor
So, the GCD (742, 420, 374, 246) = 2.
Given numbers are 742, 420, 374, 246
The list of prime factors of all numbers are
Prime factors of 742 are 2 x 7 x 53
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 374 are 2 x 11 x 17
Prime factors of 246 are 2 x 3 x 41
The highest common occurrence is 21
Therefore, GCD of 742, 420, 374, 246 is 2.
Given numbers are 742, 420, 374, 246
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(742, 420) = 22260
GCD(742, 420) = ( 742 x 420 ) / 22260
= 742 / 420
= 742
Step2:
LCM(14, 374) = 2618
GCD(14, 374) = ( 14 x 374 ) / 2618
= 14 / 374
= 14
Step3:
LCM(2, 246) = 246
GCD(2, 246) = ( 2 x 246 ) / 246
= 2 / 246
= 2
So, Greatest Common Divisor of 742, 420, 374, 246 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 742, 420, 374, 246
The greatest common divisor of numbers 742, 420, 374, 246 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 420, 374, 246 is 2.
1. What is the GCD of 742, 420, 374, 246?
GCD of given numbers 742, 420, 374, 246 is 2
2. How to calculate the greatest common divisor of 742, 420, 374, 246?
We can find the highest common divisor of 742, 420, 374, 246 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 742, 420, 374, 246 i.e 2.
3. How can I use the GCD of 742, 420, 374, 246Calculator?
Out the numbers 742, 420, 374, 246 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.