Highest Common Factor of 9351, 3893 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 9351, 3893 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9351, 3893 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 9351, 3893 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 9351, 3893 is 1.
HCF(9351, 3893) = 1
HCF of 9351, 3893 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9351, 3893 is 1.
Highest Common Factor of 9351,3893 is 1
Step 1: Since 9351 > 3893, we apply the division lemma to 9351 and 3893, to get
9351 = 3893 x 2 + 1565
Step 2: Since the reminder 3893 ≠ 0, we apply division lemma to 1565 and 3893, to get
3893 = 1565 x 2 + 763
Step 3: We consider the new divisor 1565 and the new remainder 763, and apply the division lemma to get
1565 = 763 x 2 + 39
We consider the new divisor 763 and the new remainder 39,and apply the division lemma to get
763 = 39 x 19 + 22
We consider the new divisor 39 and the new remainder 22,and apply the division lemma to get
39 = 22 x 1 + 17
We consider the new divisor 22 and the new remainder 17,and apply the division lemma to get
22 = 17 x 1 + 5
We consider the new divisor 17 and the new remainder 5,and apply the division lemma to get
17 = 5 x 3 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9351 and 3893 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(17,5) = HCF(22,17) = HCF(39,22) = HCF(763,39) = HCF(1565,763) = HCF(3893,1565) = HCF(9351,3893) .
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Frequently Asked Questions on HCF of 9351, 3893 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 9351, 3893?
Answer: HCF of 9351, 3893 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9351, 3893 using Euclid's Algorithm?
Answer: For arbitrary numbers 9351, 3893 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.