GCD of 152, 702, 940, 154 Calculator

Given Input numbers are 152, 702, 940, 154

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

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

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 (152, 702, 940, 154) = 2.

Given numbers are 152, 702, 940, 154

The list of prime factors of all numbers are

Prime factors of 152 are 2 x 2 x 2 x 19

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 940 are 2 x 2 x 5 x 47

Prime factors of 154 are 2 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 152, 702, 940, 154 is 2.

Given numbers are 152, 702, 940, 154

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

Apply this formula for all numbers.

Step1:

LCM(152, 702) = 53352

GCD(152, 702) = ( 152 x 702 ) / 53352

= 152 / 702

= 152

Step2:

LCM(2, 940) = 940

GCD(2, 940) = ( 2 x 940 ) / 940

= 2 / 940

= 2

Step3:

LCM(2, 154) = 154

GCD(2, 154) = ( 2 x 154 ) / 154

= 2 / 154

= 2

So, Greatest Common Divisor of 152, 702, 940, 154 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 496, 174, 349, 635
• GCD of 524, 306, 735, 727
• GCD of 869, 677, 601, 736
• GCD of 299, 821, 442, 256
• GCD of 306, 336, 806, 110

Given numbers are 152, 702, 940, 154
The greatest common divisor of numbers 152, 702, 940, 154 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 152, 702, 940, 154 is 2.

1. What is the GCD of 152, 702, 940, 154?

GCD of given numbers 152, 702, 940, 154 is 2

2. How to calculate the greatest common divisor of 152, 702, 940, 154?

We can find the highest common divisor of 152, 702, 940, 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 152, 702, 940, 154 i.e 2.

3. How can I use the GCD of 152, 702, 940, 154Calculator?

Out the numbers 152, 702, 940, 154 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.