GCD of 378, 758, 700, 122 Calculator

Given Input numbers are 378, 758, 700, 122

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

GCD of numbers is the greatest common divisor

So, the GCD (378, 758, 700, 122) = 2.

Given numbers are 378, 758, 700, 122

The list of prime factors of all numbers are

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 758 are 2 x 379

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 122 are 2 x 61

The highest common occurrence is 2¹

Therefore, GCD of 378, 758, 700, 122 is 2.

Given numbers are 378, 758, 700, 122

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

Apply this formula for all numbers.

Step1:

LCM(378, 758) = 143262

GCD(378, 758) = ( 378 x 758 ) / 143262

= 378 / 758

= 378

Step2:

LCM(2, 700) = 700

GCD(2, 700) = ( 2 x 700 ) / 700

= 2 / 700

= 2

Step3:

LCM(2, 122) = 122

GCD(2, 122) = ( 2 x 122 ) / 122

= 2 / 122

= 2

So, Greatest Common Divisor of 378, 758, 700, 122 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 149, 712, 564, 547
• GCD of 327, 310, 330, 728
• GCD of 482, 772, 847, 836
• GCD of 658, 886, 314, 379
• GCD of 856, 624, 774, 113

Given numbers are 378, 758, 700, 122
The greatest common divisor of numbers 378, 758, 700, 122 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 758, 700, 122 is 2.

1. What is the GCD of 378, 758, 700, 122?

GCD of given numbers 378, 758, 700, 122 is 2

2. How to calculate the greatest common divisor of 378, 758, 700, 122?

We can find the highest common divisor of 378, 758, 700, 122 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 378, 758, 700, 122 i.e 2.

3. How can I use the GCD of 378, 758, 700, 122Calculator?

Out the numbers 378, 758, 700, 122 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.