Online GCD Calculator is useful to find the GCD of 274, 632, 518, 670 quickly. Get the easiest ways to solve the greatest common divisor of 274, 632, 518, 670 i.e 2 in different methods as follows.
Given Input numbers are 274, 632, 518, 670
In the factoring method, we have to find the divisors of all numbers
Divisors of 274 :
The positive integer divisors of 274 that completely divides 274 are.
1, 2, 137, 274
Divisors of 632 :
The positive integer divisors of 632 that completely divides 632 are.
1, 2, 4, 8, 79, 158, 316, 632
Divisors of 518 :
The positive integer divisors of 518 that completely divides 518 are.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 670 :
The positive integer divisors of 670 that completely divides 670 are.
1, 2, 5, 10, 67, 134, 335, 670
GCD of numbers is the greatest common divisor
So, the GCD (274, 632, 518, 670) = 2.
Given numbers are 274, 632, 518, 670
The list of prime factors of all numbers are
Prime factors of 274 are 2 x 137
Prime factors of 632 are 2 x 2 x 2 x 79
Prime factors of 518 are 2 x 7 x 37
Prime factors of 670 are 2 x 5 x 67
The highest common occurrence is 21
Therefore, GCD of 274, 632, 518, 670 is 2.
Given numbers are 274, 632, 518, 670
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(274, 632) = 86584
GCD(274, 632) = ( 274 x 632 ) / 86584
= 274 / 632
= 274
Step2:
LCM(2, 518) = 518
GCD(2, 518) = ( 2 x 518 ) / 518
= 2 / 518
= 2
Step3:
LCM(2, 670) = 670
GCD(2, 670) = ( 2 x 670 ) / 670
= 2 / 670
= 2
So, Greatest Common Divisor of 274, 632, 518, 670 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 274, 632, 518, 670
The greatest common divisor of numbers 274, 632, 518, 670 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 632, 518, 670 is 2.
1. What is the GCD of 274, 632, 518, 670?
GCD of given numbers 274, 632, 518, 670 is 2
2. How to calculate the greatest common divisor of 274, 632, 518, 670?
We can find the highest common divisor of 274, 632, 518, 670 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 274, 632, 518, 670 i.e 2.
3. How can I use the GCD of 274, 632, 518, 670Calculator?
Out the numbers 274, 632, 518, 670 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.