Highest Common Factor of 9286, 335 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 9286, 335 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9286, 335 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 9286, 335 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 9286, 335 is 1.
HCF(9286, 335) = 1
HCF of 9286, 335 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9286, 335 is 1.
Highest Common Factor of 9286,335 is 1
Step 1: Since 9286 > 335, we apply the division lemma to 9286 and 335, to get
9286 = 335 x 27 + 241
Step 2: Since the reminder 335 ≠ 0, we apply division lemma to 241 and 335, to get
335 = 241 x 1 + 94
Step 3: We consider the new divisor 241 and the new remainder 94, and apply the division lemma to get
241 = 94 x 2 + 53
We consider the new divisor 94 and the new remainder 53,and apply the division lemma to get
94 = 53 x 1 + 41
We consider the new divisor 53 and the new remainder 41,and apply the division lemma to get
53 = 41 x 1 + 12
We consider the new divisor 41 and the new remainder 12,and apply the division lemma to get
41 = 12 x 3 + 5
We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get
12 = 5 x 2 + 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 9286 and 335 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(41,12) = HCF(53,41) = HCF(94,53) = HCF(241,94) = HCF(335,241) = HCF(9286,335) .
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Frequently Asked Questions on HCF of 9286, 335 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 9286, 335?
Answer: HCF of 9286, 335 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9286, 335 using Euclid's Algorithm?
Answer: For arbitrary numbers 9286, 335 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.