Highest Common Factor of 904, 66826 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 904, 66826 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 904, 66826 is 2 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 904, 66826 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 904, 66826 is 2.

HCF(904, 66826) = 2

HCF of 904, 66826 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 904, 66826 is 2.

Highest Common Factor of 904,66826 using Euclid's algorithm

Highest Common Factor of 904,66826 is 2

Step 1: Since 66826 > 904, we apply the division lemma to 66826 and 904, to get

66826 = 904 x 73 + 834

Step 2: Since the reminder 904 ≠ 0, we apply division lemma to 834 and 904, to get

904 = 834 x 1 + 70

Step 3: We consider the new divisor 834 and the new remainder 70, and apply the division lemma to get

834 = 70 x 11 + 64

We consider the new divisor 70 and the new remainder 64,and apply the division lemma to get

70 = 64 x 1 + 6

We consider the new divisor 64 and the new remainder 6,and apply the division lemma to get

64 = 6 x 10 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 904 and 66826 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(64,6) = HCF(70,64) = HCF(834,70) = HCF(904,834) = HCF(66826,904) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 904, 66826 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 904, 66826?

Answer: HCF of 904, 66826 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 904, 66826 using Euclid's Algorithm?

Answer: For arbitrary numbers 904, 66826 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.