Online GCD Calculator is useful to find the GCD of 692, 840, 240, 238 quickly. Get the easiest ways to solve the greatest common divisor of 692, 840, 240, 238 i.e 2 in different methods as follows.
Given Input numbers are 692, 840, 240, 238
In the factoring method, we have to find the divisors of all numbers
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
GCD of numbers is the greatest common divisor
So, the GCD (692, 840, 240, 238) = 2.
Given numbers are 692, 840, 240, 238
The list of prime factors of all numbers are
Prime factors of 692 are 2 x 2 x 173
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 238 are 2 x 7 x 17
The highest common occurrence is 21
Therefore, GCD of 692, 840, 240, 238 is 2.
Given numbers are 692, 840, 240, 238
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(692, 840) = 145320
GCD(692, 840) = ( 692 x 840 ) / 145320
= 692 / 840
= 692
Step2:
LCM(4, 240) = 240
GCD(4, 240) = ( 4 x 240 ) / 240
= 4 / 240
= 4
Step3:
LCM(4, 238) = 476
GCD(4, 238) = ( 4 x 238 ) / 476
= 4 / 238
= 4
So, Greatest Common Divisor of 692, 840, 240, 238 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 692, 840, 240, 238
The greatest common divisor of numbers 692, 840, 240, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 692, 840, 240, 238 is 2.
1. What is the GCD of 692, 840, 240, 238?
GCD of given numbers 692, 840, 240, 238 is 2
2. How to calculate the greatest common divisor of 692, 840, 240, 238?
We can find the highest common divisor of 692, 840, 240, 238 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 692, 840, 240, 238 i.e 2.
3. How can I use the GCD of 692, 840, 240, 238Calculator?
Out the numbers 692, 840, 240, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.