GCD of 760, 538, 134, 152 Calculator

Given Input numbers are 760, 538, 134, 152

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

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

Divisors of 152 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (760, 538, 134, 152) = 2.

Given numbers are 760, 538, 134, 152

The list of prime factors of all numbers are

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 538 are 2 x 269

Prime factors of 134 are 2 x 67

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

The highest common occurrence is 2¹

Therefore, GCD of 760, 538, 134, 152 is 2.

Given numbers are 760, 538, 134, 152

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

Apply this formula for all numbers.

Step1:

LCM(760, 538) = 204440

GCD(760, 538) = ( 760 x 538 ) / 204440

= 760 / 538

= 760

Step2:

LCM(2, 134) = 134

GCD(2, 134) = ( 2 x 134 ) / 134

= 2 / 134

= 2

Step3:

LCM(2, 152) = 152

GCD(2, 152) = ( 2 x 152 ) / 152

= 2 / 152

= 2

So, Greatest Common Divisor of 760, 538, 134, 152 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 548, 335, 616, 371
• GCD of 823, 433, 855, 550
• GCD of 423, 161, 520, 996
• GCD of 127, 871, 292, 719
• GCD of 448, 501, 787, 687

Given numbers are 760, 538, 134, 152
The greatest common divisor of numbers 760, 538, 134, 152 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 760, 538, 134, 152 is 2.

1. What is the GCD of 760, 538, 134, 152?

GCD of given numbers 760, 538, 134, 152 is 2

2. How to calculate the greatest common divisor of 760, 538, 134, 152?

We can find the highest common divisor of 760, 538, 134, 152 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 760, 538, 134, 152 i.e 2.

3. How can I use the GCD of 760, 538, 134, 152Calculator?

Out the numbers 760, 538, 134, 152 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.