Highest Common Factor of 803, 9286 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 803, 9286 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 803, 9286 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 803, 9286 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 803, 9286 is 1.
HCF(803, 9286) = 1
HCF of 803, 9286 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 803, 9286 is 1.
Highest Common Factor of 803,9286 is 1
Step 1: Since 9286 > 803, we apply the division lemma to 9286 and 803, to get
9286 = 803 x 11 + 453
Step 2: Since the reminder 803 ≠ 0, we apply division lemma to 453 and 803, to get
803 = 453 x 1 + 350
Step 3: We consider the new divisor 453 and the new remainder 350, and apply the division lemma to get
453 = 350 x 1 + 103
We consider the new divisor 350 and the new remainder 103,and apply the division lemma to get
350 = 103 x 3 + 41
We consider the new divisor 103 and the new remainder 41,and apply the division lemma to get
103 = 41 x 2 + 21
We consider the new divisor 41 and the new remainder 21,and apply the division lemma to get
41 = 21 x 1 + 20
We consider the new divisor 21 and the new remainder 20,and apply the division lemma to get
21 = 20 x 1 + 1
We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 803 and 9286 is 1
Notice that 1 = HCF(20,1) = HCF(21,20) = HCF(41,21) = HCF(103,41) = HCF(350,103) = HCF(453,350) = HCF(803,453) = HCF(9286,803) .
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Frequently Asked Questions on HCF of 803, 9286 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 803, 9286?
Answer: HCF of 803, 9286 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 803, 9286 using Euclid's Algorithm?
Answer: For arbitrary numbers 803, 9286 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.