Highest Common Factor of 9253, 8443 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 9253, 8443 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9253, 8443 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 9253, 8443 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 9253, 8443 is 1.
HCF(9253, 8443) = 1
HCF of 9253, 8443 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9253, 8443 is 1.
Highest Common Factor of 9253,8443 is 1
Step 1: Since 9253 > 8443, we apply the division lemma to 9253 and 8443, to get
9253 = 8443 x 1 + 810
Step 2: Since the reminder 8443 ≠ 0, we apply division lemma to 810 and 8443, to get
8443 = 810 x 10 + 343
Step 3: We consider the new divisor 810 and the new remainder 343, and apply the division lemma to get
810 = 343 x 2 + 124
We consider the new divisor 343 and the new remainder 124,and apply the division lemma to get
343 = 124 x 2 + 95
We consider the new divisor 124 and the new remainder 95,and apply the division lemma to get
124 = 95 x 1 + 29
We consider the new divisor 95 and the new remainder 29,and apply the division lemma to get
95 = 29 x 3 + 8
We consider the new divisor 29 and the new remainder 8,and apply the division lemma to get
29 = 8 x 3 + 5
We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get
8 = 5 x 1 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 9253 and 8443 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(29,8) = HCF(95,29) = HCF(124,95) = HCF(343,124) = HCF(810,343) = HCF(8443,810) = HCF(9253,8443) .
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Frequently Asked Questions on HCF of 9253, 8443 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 9253, 8443?
Answer: HCF of 9253, 8443 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9253, 8443 using Euclid's Algorithm?
Answer: For arbitrary numbers 9253, 8443 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.