Online GCD Calculator is useful to find the GCD of 334, 692, 142, 802 quickly. Get the easiest ways to solve the greatest common divisor of 334, 692, 142, 802 i.e 2 in different methods as follows.
Given Input numbers are 334, 692, 142, 802
In the factoring method, we have to find the divisors of all numbers
Divisors of 334 :
The positive integer divisors of 334 that completely divides 334 are.
1, 2, 167, 334
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 802 :
The positive integer divisors of 802 that completely divides 802 are.
1, 2, 401, 802
GCD of numbers is the greatest common divisor
So, the GCD (334, 692, 142, 802) = 2.
Given numbers are 334, 692, 142, 802
The list of prime factors of all numbers are
Prime factors of 334 are 2 x 167
Prime factors of 692 are 2 x 2 x 173
Prime factors of 142 are 2 x 71
Prime factors of 802 are 2 x 401
The highest common occurrence is 21
Therefore, GCD of 334, 692, 142, 802 is 2.
Given numbers are 334, 692, 142, 802
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(334, 692) = 115564
GCD(334, 692) = ( 334 x 692 ) / 115564
= 334 / 692
= 334
Step2:
LCM(2, 142) = 142
GCD(2, 142) = ( 2 x 142 ) / 142
= 2 / 142
= 2
Step3:
LCM(2, 802) = 802
GCD(2, 802) = ( 2 x 802 ) / 802
= 2 / 802
= 2
So, Greatest Common Divisor of 334, 692, 142, 802 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 334, 692, 142, 802
The greatest common divisor of numbers 334, 692, 142, 802 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 334, 692, 142, 802 is 2.
1. What is the GCD of 334, 692, 142, 802?
GCD of given numbers 334, 692, 142, 802 is 2
2. How to calculate the greatest common divisor of 334, 692, 142, 802?
We can find the highest common divisor of 334, 692, 142, 802 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 334, 692, 142, 802 i.e 2.
3. How can I use the GCD of 334, 692, 142, 802Calculator?
Out the numbers 334, 692, 142, 802 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.