Online GCD Calculator is useful to find the GCD of 248, 616, 420 quickly. Get the easiest ways to solve the greatest common divisor of 248, 616, 420 i.e 4 in different methods as follows.
Given Input numbers are 248, 616, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 248 :
The positive integer divisors of 248 that completely divides 248 are.
1, 2, 4, 8, 31, 62, 124, 248
Divisors of 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
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 (248, 616, 420) = 4.
Given numbers are 248, 616, 420
The list of prime factors of all numbers are
Prime factors of 248 are 2 x 2 x 2 x 31
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The highest common occurrence is 22
Therefore, GCD of 248, 616, 420 is 4.
Given numbers are 248, 616, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(248, 616) = 19096
GCD(248, 616) = ( 248 x 616 ) / 19096
= 248 / 616
= 248
Step2:
LCM(8, 420) = 840
GCD(8, 420) = ( 8 x 420 ) / 840
= 8 / 420
= 8
So, Greatest Common Divisor of 248, 616, 420 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 248, 616, 420
The greatest common divisor of numbers 248, 616, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 248, 616, 420 is 4.
1. What is the GCD of 248, 616, 420?
GCD of given numbers 248, 616, 420 is 4
2. How to calculate the greatest common divisor of 248, 616, 420?
We can find the highest common divisor of 248, 616, 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 248, 616, 420 i.e 4.
3. How can I use the GCD of 248, 616, 420Calculator?
Out the numbers 248, 616, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.