Online GCD Calculator is useful to find the GCD of 716, 692, 502, 140 quickly. Get the easiest ways to solve the greatest common divisor of 716, 692, 502, 140 i.e 2 in different methods as follows.
Given Input numbers are 716, 692, 502, 140
In the factoring method, we have to find the divisors of all numbers
Divisors of 716 :
The positive integer divisors of 716 that completely divides 716 are.
1, 2, 4, 179, 358, 716
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
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
GCD of numbers is the greatest common divisor
So, the GCD (716, 692, 502, 140) = 2.
Given numbers are 716, 692, 502, 140
The list of prime factors of all numbers are
Prime factors of 716 are 2 x 2 x 179
Prime factors of 692 are 2 x 2 x 173
Prime factors of 502 are 2 x 251
Prime factors of 140 are 2 x 2 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 716, 692, 502, 140 is 2.
Given numbers are 716, 692, 502, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(716, 692) = 123868
GCD(716, 692) = ( 716 x 692 ) / 123868
= 716 / 692
= 716
Step2:
LCM(4, 502) = 1004
GCD(4, 502) = ( 4 x 502 ) / 1004
= 4 / 502
= 4
Step3:
LCM(2, 140) = 140
GCD(2, 140) = ( 2 x 140 ) / 140
= 2 / 140
= 2
So, Greatest Common Divisor of 716, 692, 502, 140 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 716, 692, 502, 140
The greatest common divisor of numbers 716, 692, 502, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 716, 692, 502, 140 is 2.
1. What is the GCD of 716, 692, 502, 140?
GCD of given numbers 716, 692, 502, 140 is 2
2. How to calculate the greatest common divisor of 716, 692, 502, 140?
We can find the highest common divisor of 716, 692, 502, 140 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 716, 692, 502, 140 i.e 2.
3. How can I use the GCD of 716, 692, 502, 140Calculator?
Out the numbers 716, 692, 502, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.