Highest Common Factor of 8199, 9530 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 8199, 9530 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8199, 9530 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 8199, 9530 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 8199, 9530 is 1.
HCF(8199, 9530) = 1
HCF of 8199, 9530 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8199, 9530 is 1.
Highest Common Factor of 8199,9530 is 1
Step 1: Since 9530 > 8199, we apply the division lemma to 9530 and 8199, to get
9530 = 8199 x 1 + 1331
Step 2: Since the reminder 8199 ≠ 0, we apply division lemma to 1331 and 8199, to get
8199 = 1331 x 6 + 213
Step 3: We consider the new divisor 1331 and the new remainder 213, and apply the division lemma to get
1331 = 213 x 6 + 53
We consider the new divisor 213 and the new remainder 53,and apply the division lemma to get
213 = 53 x 4 + 1
We consider the new divisor 53 and the new remainder 1,and apply the division lemma to get
53 = 1 x 53 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8199 and 9530 is 1
Notice that 1 = HCF(53,1) = HCF(213,53) = HCF(1331,213) = HCF(8199,1331) = HCF(9530,8199) .
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Frequently Asked Questions on HCF of 8199, 9530 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 8199, 9530?
Answer: HCF of 8199, 9530 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8199, 9530 using Euclid's Algorithm?
Answer: For arbitrary numbers 8199, 9530 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.