GCD of 114, 528, 480, 702 Calculator

Given Input numbers are 114, 528, 480, 702

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

Divisors of 114 :

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

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

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

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

GCD of numbers is the greatest common divisor

So, the GCD (114, 528, 480, 702) = 6.

Given numbers are 114, 528, 480, 702

The list of prime factors of all numbers are

Prime factors of 114 are 2 x 3 x 19

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 114, 528, 480, 702 is 6.

Given numbers are 114, 528, 480, 702

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

Apply this formula for all numbers.

Step1:

LCM(114, 528) = 10032

GCD(114, 528) = ( 114 x 528 ) / 10032

= 114 / 528

= 114

Step2:

LCM(6, 480) = 480

GCD(6, 480) = ( 6 x 480 ) / 480

= 6 / 480

= 6

Step3:

LCM(6, 702) = 702

GCD(6, 702) = ( 6 x 702 ) / 702

= 6 / 702

= 6

So, Greatest Common Divisor of 114, 528, 480, 702 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 360, 907, 798, 696
• GCD of 700, 804, 792, 474
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• GCD of 520, 522, 609, 180
• GCD of 992, 975, 629, 963

Given numbers are 114, 528, 480, 702
The greatest common divisor of numbers 114, 528, 480, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 114, 528, 480, 702 is 6.

1. What is the GCD of 114, 528, 480, 702?

GCD of given numbers 114, 528, 480, 702 is 6

2. How to calculate the greatest common divisor of 114, 528, 480, 702?

We can find the highest common divisor of 114, 528, 480, 702 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 114, 528, 480, 702 i.e 6.

3. How can I use the GCD of 114, 528, 480, 702Calculator?

Out the numbers 114, 528, 480, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.