Highest Common Factor of 9523, 4067 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 9523, 4067 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9523, 4067 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 9523, 4067 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 9523, 4067 is 1.
HCF(9523, 4067) = 1
HCF of 9523, 4067 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9523, 4067 is 1.
Highest Common Factor of 9523,4067 is 1
Step 1: Since 9523 > 4067, we apply the division lemma to 9523 and 4067, to get
9523 = 4067 x 2 + 1389
Step 2: Since the reminder 4067 ≠ 0, we apply division lemma to 1389 and 4067, to get
4067 = 1389 x 2 + 1289
Step 3: We consider the new divisor 1389 and the new remainder 1289, and apply the division lemma to get
1389 = 1289 x 1 + 100
We consider the new divisor 1289 and the new remainder 100,and apply the division lemma to get
1289 = 100 x 12 + 89
We consider the new divisor 100 and the new remainder 89,and apply the division lemma to get
100 = 89 x 1 + 11
We consider the new divisor 89 and the new remainder 11,and apply the division lemma to get
89 = 11 x 8 + 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 9523 and 4067 is 1
Notice that 1 = HCF(11,1) = HCF(89,11) = HCF(100,89) = HCF(1289,100) = HCF(1389,1289) = HCF(4067,1389) = HCF(9523,4067) .
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Frequently Asked Questions on HCF of 9523, 4067 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 9523, 4067?
Answer: HCF of 9523, 4067 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9523, 4067 using Euclid's Algorithm?
Answer: For arbitrary numbers 9523, 4067 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
