GCD of 130, 654, 802, 148 Calculator

Given Input numbers are 130, 654, 802, 148

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

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

GCD of numbers is the greatest common divisor

So, the GCD (130, 654, 802, 148) = 2.

Given numbers are 130, 654, 802, 148

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 654 are 2 x 3 x 109

Prime factors of 802 are 2 x 401

Prime factors of 148 are 2 x 2 x 37

The highest common occurrence is 2¹

Therefore, GCD of 130, 654, 802, 148 is 2.

Given numbers are 130, 654, 802, 148

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

Apply this formula for all numbers.

Step1:

LCM(130, 654) = 42510

GCD(130, 654) = ( 130 x 654 ) / 42510

= 130 / 654

= 130

Step2:

LCM(2, 802) = 802

GCD(2, 802) = ( 2 x 802 ) / 802

= 2 / 802

= 2

Step3:

LCM(2, 148) = 148

GCD(2, 148) = ( 2 x 148 ) / 148

= 2 / 148

= 2

So, Greatest Common Divisor of 130, 654, 802, 148 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 170, 205, 176, 699
• GCD of 421, 730, 612, 709
• GCD of 223, 917, 415, 947
• GCD of 491, 191, 864, 815
• GCD of 361, 713, 248, 112

Given numbers are 130, 654, 802, 148
The greatest common divisor of numbers 130, 654, 802, 148 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 654, 802, 148 is 2.

1. What is the GCD of 130, 654, 802, 148?

GCD of given numbers 130, 654, 802, 148 is 2

2. How to calculate the greatest common divisor of 130, 654, 802, 148?

We can find the highest common divisor of 130, 654, 802, 148 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 130, 654, 802, 148 i.e 2.

3. How can I use the GCD of 130, 654, 802, 148Calculator?

Out the numbers 130, 654, 802, 148 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.