GCD of 148, 350, 702, 680 Calculator

Given Input numbers are 148, 350, 702, 680

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 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

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 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

GCD of numbers is the greatest common divisor

So, the GCD (148, 350, 702, 680) = 2.

Given numbers are 148, 350, 702, 680

The list of prime factors of all numbers are

Prime factors of 148 are 2 x 2 x 37

Prime factors of 350 are 2 x 5 x 5 x 7

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

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 148, 350, 702, 680 is 2.

Given numbers are 148, 350, 702, 680

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

Apply this formula for all numbers.

Step1:

LCM(148, 350) = 25900

GCD(148, 350) = ( 148 x 350 ) / 25900

= 148 / 350

= 148

Step2:

LCM(2, 702) = 702

GCD(2, 702) = ( 2 x 702 ) / 702

= 2 / 702

= 2

Step3:

LCM(2, 680) = 680

GCD(2, 680) = ( 2 x 680 ) / 680

= 2 / 680

= 2

So, Greatest Common Divisor of 148, 350, 702, 680 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 637, 811, 283, 701
• GCD of 232, 307, 322, 658
• GCD of 734, 197, 490, 754
• GCD of 520, 726, 108, 886
• GCD of 834, 977, 933, 550

Given numbers are 148, 350, 702, 680
The greatest common divisor of numbers 148, 350, 702, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 148, 350, 702, 680 is 2.

1. What is the GCD of 148, 350, 702, 680?

GCD of given numbers 148, 350, 702, 680 is 2

2. How to calculate the greatest common divisor of 148, 350, 702, 680?

We can find the highest common divisor of 148, 350, 702, 680 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, 350, 702, 680 i.e 2.

3. How can I use the GCD of 148, 350, 702, 680Calculator?

Out the numbers 148, 350, 702, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.