Online GCD Calculator is useful to find the GCD of 502, 140, 354, 868 quickly. Get the easiest ways to solve the greatest common divisor of 502, 140, 354, 868 i.e 2 in different methods as follows.
Given Input numbers are 502, 140, 354, 868
In the factoring method, we have to find the divisors of all numbers
Divisors of 502 :
The positive integer divisors of 502 that completely divides 502 are.
1, 2, 251, 502
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 868 :
The positive integer divisors of 868 that completely divides 868 are.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
GCD of numbers is the greatest common divisor
So, the GCD (502, 140, 354, 868) = 2.
Given numbers are 502, 140, 354, 868
The list of prime factors of all numbers are
Prime factors of 502 are 2 x 251
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 354 are 2 x 3 x 59
Prime factors of 868 are 2 x 2 x 7 x 31
The highest common occurrence is 21
Therefore, GCD of 502, 140, 354, 868 is 2.
Given numbers are 502, 140, 354, 868
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(502, 140) = 35140
GCD(502, 140) = ( 502 x 140 ) / 35140
= 502 / 140
= 502
Step2:
LCM(2, 354) = 354
GCD(2, 354) = ( 2 x 354 ) / 354
= 2 / 354
= 2
Step3:
LCM(2, 868) = 868
GCD(2, 868) = ( 2 x 868 ) / 868
= 2 / 868
= 2
So, Greatest Common Divisor of 502, 140, 354, 868 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 502, 140, 354, 868
The greatest common divisor of numbers 502, 140, 354, 868 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 502, 140, 354, 868 is 2.
1. What is the GCD of 502, 140, 354, 868?
GCD of given numbers 502, 140, 354, 868 is 2
2. How to calculate the greatest common divisor of 502, 140, 354, 868?
We can find the highest common divisor of 502, 140, 354, 868 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 502, 140, 354, 868 i.e 2.
3. How can I use the GCD of 502, 140, 354, 868Calculator?
Out the numbers 502, 140, 354, 868 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.