GCD of 788, 740, 748, 154 Calculator

Given Input numbers are 788, 740, 748, 154

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

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 154 :

The positive integer divisors of 154 that completely divides 154 are.

1, 2, 7, 11, 14, 22, 77, 154

GCD of numbers is the greatest common divisor

So, the GCD (788, 740, 748, 154) = 2.

Given numbers are 788, 740, 748, 154

The list of prime factors of all numbers are

Prime factors of 788 are 2 x 2 x 197

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 154 are 2 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 788, 740, 748, 154 is 2.

Given numbers are 788, 740, 748, 154

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

Apply this formula for all numbers.

Step1:

LCM(788, 740) = 145780

GCD(788, 740) = ( 788 x 740 ) / 145780

= 788 / 740

= 788

Step2:

LCM(4, 748) = 748

GCD(4, 748) = ( 4 x 748 ) / 748

= 4 / 748

= 4

Step3:

LCM(4, 154) = 308

GCD(4, 154) = ( 4 x 154 ) / 308

= 4 / 154

= 4

So, Greatest Common Divisor of 788, 740, 748, 154 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 394, 889, 461, 611
• GCD of 331, 392, 407, 809
• GCD of 394, 850, 375, 766
• GCD of 778, 821, 818, 141
• GCD of 127, 207, 796, 153

Given numbers are 788, 740, 748, 154
The greatest common divisor of numbers 788, 740, 748, 154 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 788, 740, 748, 154 is 2.

1. What is the GCD of 788, 740, 748, 154?

GCD of given numbers 788, 740, 748, 154 is 2

2. How to calculate the greatest common divisor of 788, 740, 748, 154?

We can find the highest common divisor of 788, 740, 748, 154 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 788, 740, 748, 154 i.e 2.

3. How can I use the GCD of 788, 740, 748, 154Calculator?

Out the numbers 788, 740, 748, 154 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.