Online GCD Calculator is useful to find the GCD of 692, 520, 196, 948 quickly. Get the easiest ways to solve the greatest common divisor of 692, 520, 196, 948 i.e 4 in different methods as follows.
Given Input numbers are 692, 520, 196, 948
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 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 948 :
The positive integer divisors of 948 that completely divides 948 are.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
GCD of numbers is the greatest common divisor
So, the GCD (692, 520, 196, 948) = 4.
Given numbers are 692, 520, 196, 948
The list of prime factors of all numbers are
Prime factors of 692 are 2 x 2 x 173
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 948 are 2 x 2 x 3 x 79
The highest common occurrence is 22
Therefore, GCD of 692, 520, 196, 948 is 4.
Given numbers are 692, 520, 196, 948
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(692, 520) = 89960
GCD(692, 520) = ( 692 x 520 ) / 89960
= 692 / 520
= 692
Step2:
LCM(4, 196) = 196
GCD(4, 196) = ( 4 x 196 ) / 196
= 4 / 196
= 4
Step3:
LCM(4, 948) = 948
GCD(4, 948) = ( 4 x 948 ) / 948
= 4 / 948
= 4
So, Greatest Common Divisor of 692, 520, 196, 948 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 692, 520, 196, 948
The greatest common divisor of numbers 692, 520, 196, 948 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 692, 520, 196, 948 is 4.
1. What is the GCD of 692, 520, 196, 948?
GCD of given numbers 692, 520, 196, 948 is 4
2. How to calculate the greatest common divisor of 692, 520, 196, 948?
We can find the highest common divisor of 692, 520, 196, 948 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, 520, 196, 948 i.e 4.
3. How can I use the GCD of 692, 520, 196, 948Calculator?
Out the numbers 692, 520, 196, 948 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.