GCD of 102, 350, 948, 698 Calculator

Given Input numbers are 102, 350, 948, 698

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

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

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 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

GCD of numbers is the greatest common divisor

So, the GCD (102, 350, 948, 698) = 2.

Given numbers are 102, 350, 948, 698

The list of prime factors of all numbers are

Prime factors of 102 are 2 x 3 x 17

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

Prime factors of 948 are 2 x 2 x 3 x 79

Prime factors of 698 are 2 x 349

The highest common occurrence is 2¹

Therefore, GCD of 102, 350, 948, 698 is 2.

Given numbers are 102, 350, 948, 698

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

Apply this formula for all numbers.

Step1:

LCM(102, 350) = 17850

GCD(102, 350) = ( 102 x 350 ) / 17850

= 102 / 350

= 102

Step2:

LCM(2, 948) = 948

GCD(2, 948) = ( 2 x 948 ) / 948

= 2 / 948

= 2

Step3:

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

= 2 / 698

= 2

So, Greatest Common Divisor of 102, 350, 948, 698 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 804, 845, 844, 221
• GCD of 652, 662, 184, 191
• GCD of 382, 294, 104, 771
• GCD of 955, 950, 730, 712
• GCD of 308, 999, 859, 744

Given numbers are 102, 350, 948, 698
The greatest common divisor of numbers 102, 350, 948, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 102, 350, 948, 698 is 2.

1. What is the GCD of 102, 350, 948, 698?

GCD of given numbers 102, 350, 948, 698 is 2

2. How to calculate the greatest common divisor of 102, 350, 948, 698?

We can find the highest common divisor of 102, 350, 948, 698 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 102, 350, 948, 698 i.e 2.

3. How can I use the GCD of 102, 350, 948, 698Calculator?

Out the numbers 102, 350, 948, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.