GCD of 148, 380, 658, 298 Calculator

Given Input numbers are 148, 380, 658, 298

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

Divisors of 148 :

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

1, 2, 4, 37, 74, 148

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

GCD of numbers is the greatest common divisor

So, the GCD (148, 380, 658, 298) = 2.

Given numbers are 148, 380, 658, 298

The list of prime factors of all numbers are

Prime factors of 148 are 2 x 2 x 37

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 658 are 2 x 7 x 47

Prime factors of 298 are 2 x 149

The highest common occurrence is 2¹

Therefore, GCD of 148, 380, 658, 298 is 2.

Given numbers are 148, 380, 658, 298

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

Apply this formula for all numbers.

Step1:

LCM(148, 380) = 14060

GCD(148, 380) = ( 148 x 380 ) / 14060

= 148 / 380

= 148

Step2:

LCM(4, 658) = 1316

GCD(4, 658) = ( 4 x 658 ) / 1316

= 4 / 658

= 4

Step3:

LCM(2, 298) = 298

GCD(2, 298) = ( 2 x 298 ) / 298

= 2 / 298

= 2

So, Greatest Common Divisor of 148, 380, 658, 298 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 778, 568, 921, 419
• GCD of 955, 985, 946, 297
• GCD of 280, 152, 943, 236
• GCD of 382, 979, 325, 230
• GCD of 255, 390, 326, 614

Given numbers are 148, 380, 658, 298
The greatest common divisor of numbers 148, 380, 658, 298 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 148, 380, 658, 298 is 2.

1. What is the GCD of 148, 380, 658, 298?

GCD of given numbers 148, 380, 658, 298 is 2

2. How to calculate the greatest common divisor of 148, 380, 658, 298?

We can find the highest common divisor of 148, 380, 658, 298 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 148, 380, 658, 298 i.e 2.

3. How can I use the GCD of 148, 380, 658, 298Calculator?

Out the numbers 148, 380, 658, 298 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.