Highest Common Factor of 9326, 3351 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, 3351 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9326, 3351 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 9326, 3351 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, 3351 is 1.
HCF(9326, 3351) = 1
HCF of 9326, 3351 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, 3351 is 1.
Highest Common Factor of 9326,3351 is 1
Step 1: Since 9326 > 3351, we apply the division lemma to 9326 and 3351, to get
9326 = 3351 x 2 + 2624
Step 2: Since the reminder 3351 ≠ 0, we apply division lemma to 2624 and 3351, to get
3351 = 2624 x 1 + 727
Step 3: We consider the new divisor 2624 and the new remainder 727, and apply the division lemma to get
2624 = 727 x 3 + 443
We consider the new divisor 727 and the new remainder 443,and apply the division lemma to get
727 = 443 x 1 + 284
We consider the new divisor 443 and the new remainder 284,and apply the division lemma to get
443 = 284 x 1 + 159
We consider the new divisor 284 and the new remainder 159,and apply the division lemma to get
284 = 159 x 1 + 125
We consider the new divisor 159 and the new remainder 125,and apply the division lemma to get
159 = 125 x 1 + 34
We consider the new divisor 125 and the new remainder 34,and apply the division lemma to get
125 = 34 x 3 + 23
We consider the new divisor 34 and the new remainder 23,and apply the division lemma to get
34 = 23 x 1 + 11
We consider the new divisor 23 and the new remainder 11,and apply the division lemma to get
23 = 11 x 2 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9326 and 3351 is 1
Notice that 1 = HCF(11,1) = HCF(23,11) = HCF(34,23) = HCF(125,34) = HCF(159,125) = HCF(284,159) = HCF(443,284) = HCF(727,443) = HCF(2624,727) = HCF(3351,2624) = HCF(9326,3351) .
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Frequently Asked Questions on HCF of 9326, 3351 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, 3351?
Answer: HCF of 9326, 3351 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9326, 3351 using Euclid's Algorithm?
Answer: For arbitrary numbers 9326, 3351 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.