Highest Common Factor of 1923, 9366 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 1923, 9366 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 1923, 9366 is 3 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 1923, 9366 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 1923, 9366 is 3.
HCF(1923, 9366) = 3
HCF of 1923, 9366 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1923, 9366 is 3.
Highest Common Factor of 1923,9366 is 3
Step 1: Since 9366 > 1923, we apply the division lemma to 9366 and 1923, to get
9366 = 1923 x 4 + 1674
Step 2: Since the reminder 1923 ≠ 0, we apply division lemma to 1674 and 1923, to get
1923 = 1674 x 1 + 249
Step 3: We consider the new divisor 1674 and the new remainder 249, and apply the division lemma to get
1674 = 249 x 6 + 180
We consider the new divisor 249 and the new remainder 180,and apply the division lemma to get
249 = 180 x 1 + 69
We consider the new divisor 180 and the new remainder 69,and apply the division lemma to get
180 = 69 x 2 + 42
We consider the new divisor 69 and the new remainder 42,and apply the division lemma to get
69 = 42 x 1 + 27
We consider the new divisor 42 and the new remainder 27,and apply the division lemma to get
42 = 27 x 1 + 15
We consider the new divisor 27 and the new remainder 15,and apply the division lemma to get
27 = 15 x 1 + 12
We consider the new divisor 15 and the new remainder 12,and apply the division lemma to get
15 = 12 x 1 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 1923 and 9366 is 3
Notice that 3 = HCF(12,3) = HCF(15,12) = HCF(27,15) = HCF(42,27) = HCF(69,42) = HCF(180,69) = HCF(249,180) = HCF(1674,249) = HCF(1923,1674) = HCF(9366,1923) .
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Frequently Asked Questions on HCF of 1923, 9366 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 1923, 9366?
Answer: HCF of 1923, 9366 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1923, 9366 using Euclid's Algorithm?
Answer: For arbitrary numbers 1923, 9366 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.