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 5923, 8366 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5923, 8366 is 1 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 5923, 8366 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 5923, 8366 is 1.
HCF(5923, 8366) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5923, 8366 is 1.
Step 1: Since 8366 > 5923, we apply the division lemma to 8366 and 5923, to get
8366 = 5923 x 1 + 2443
Step 2: Since the reminder 5923 ≠ 0, we apply division lemma to 2443 and 5923, to get
5923 = 2443 x 2 + 1037
Step 3: We consider the new divisor 2443 and the new remainder 1037, and apply the division lemma to get
2443 = 1037 x 2 + 369
We consider the new divisor 1037 and the new remainder 369,and apply the division lemma to get
1037 = 369 x 2 + 299
We consider the new divisor 369 and the new remainder 299,and apply the division lemma to get
369 = 299 x 1 + 70
We consider the new divisor 299 and the new remainder 70,and apply the division lemma to get
299 = 70 x 4 + 19
We consider the new divisor 70 and the new remainder 19,and apply the division lemma to get
70 = 19 x 3 + 13
We consider the new divisor 19 and the new remainder 13,and apply the division lemma to get
19 = 13 x 1 + 6
We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get
13 = 6 x 2 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5923 and 8366 is 1
Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(19,13) = HCF(70,19) = HCF(299,70) = HCF(369,299) = HCF(1037,369) = HCF(2443,1037) = HCF(5923,2443) = HCF(8366,5923) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 5923, 8366?
Answer: HCF of 5923, 8366 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5923, 8366 using Euclid's Algorithm?
Answer: For arbitrary numbers 5923, 8366 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.