GCD of 156, 196, 680, 114 Calculator

Given Input numbers are 156, 196, 680, 114

In the factoring method, we have to find the divisors of all numbers

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

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 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

GCD of numbers is the greatest common divisor

So, the GCD (156, 196, 680, 114) = 2.

Given numbers are 156, 196, 680, 114

The list of prime factors of all numbers are

Prime factors of 156 are 2 x 2 x 3 x 13

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 114 are 2 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 156, 196, 680, 114 is 2.

Given numbers are 156, 196, 680, 114

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(156, 196) = 7644

GCD(156, 196) = ( 156 x 196 ) / 7644

= 156 / 196

= 156

Step2:

LCM(4, 680) = 680

GCD(4, 680) = ( 4 x 680 ) / 680

= 4 / 680

= 4

Step3:

LCM(4, 114) = 228

GCD(4, 114) = ( 4 x 114 ) / 228

= 4 / 114

= 4

So, Greatest Common Divisor of 156, 196, 680, 114 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 228, 593, 399, 580
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• GCD of 736, 292, 868, 881
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• GCD of 884, 385, 363, 833

Given numbers are 156, 196, 680, 114
The greatest common divisor of numbers 156, 196, 680, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 156, 196, 680, 114 is 2.

1. What is the GCD of 156, 196, 680, 114?

GCD of given numbers 156, 196, 680, 114 is 2

2. How to calculate the greatest common divisor of 156, 196, 680, 114?

We can find the highest common divisor of 156, 196, 680, 114 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 156, 196, 680, 114 i.e 2.

3. How can I use the GCD of 156, 196, 680, 114Calculator?

Out the numbers 156, 196, 680, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.