Highest Common Factor of 9326, 8844 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 9326, 8844 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9326, 8844 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 9326, 8844 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 9326, 8844 is 2.
HCF(9326, 8844) = 2
HCF of 9326, 8844 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9326, 8844 is 2.
Highest Common Factor of 9326,8844 is 2
Step 1: Since 9326 > 8844, we apply the division lemma to 9326 and 8844, to get
9326 = 8844 x 1 + 482
Step 2: Since the reminder 8844 ≠ 0, we apply division lemma to 482 and 8844, to get
8844 = 482 x 18 + 168
Step 3: We consider the new divisor 482 and the new remainder 168, and apply the division lemma to get
482 = 168 x 2 + 146
We consider the new divisor 168 and the new remainder 146,and apply the division lemma to get
168 = 146 x 1 + 22
We consider the new divisor 146 and the new remainder 22,and apply the division lemma to get
146 = 22 x 6 + 14
We consider the new divisor 22 and the new remainder 14,and apply the division lemma to get
22 = 14 x 1 + 8
We consider the new divisor 14 and the new remainder 8,and apply the division lemma to get
14 = 8 x 1 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9326 and 8844 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(14,8) = HCF(22,14) = HCF(146,22) = HCF(168,146) = HCF(482,168) = HCF(8844,482) = HCF(9326,8844) .
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Frequently Asked Questions on HCF of 9326, 8844 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 9326, 8844?
Answer: HCF of 9326, 8844 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9326, 8844 using Euclid's Algorithm?
Answer: For arbitrary numbers 9326, 8844 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.