Highest Common Factor of 8099, 8531 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 8099, 8531 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8099, 8531 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 8099, 8531 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 8099, 8531 is 1.
HCF(8099, 8531) = 1
HCF of 8099, 8531 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8099, 8531 is 1.
Highest Common Factor of 8099,8531 is 1
Step 1: Since 8531 > 8099, we apply the division lemma to 8531 and 8099, to get
8531 = 8099 x 1 + 432
Step 2: Since the reminder 8099 ≠ 0, we apply division lemma to 432 and 8099, to get
8099 = 432 x 18 + 323
Step 3: We consider the new divisor 432 and the new remainder 323, and apply the division lemma to get
432 = 323 x 1 + 109
We consider the new divisor 323 and the new remainder 109,and apply the division lemma to get
323 = 109 x 2 + 105
We consider the new divisor 109 and the new remainder 105,and apply the division lemma to get
109 = 105 x 1 + 4
We consider the new divisor 105 and the new remainder 4,and apply the division lemma to get
105 = 4 x 26 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8099 and 8531 is 1
Notice that 1 = HCF(4,1) = HCF(105,4) = HCF(109,105) = HCF(323,109) = HCF(432,323) = HCF(8099,432) = HCF(8531,8099) .
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Frequently Asked Questions on HCF of 8099, 8531 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 8099, 8531?
Answer: HCF of 8099, 8531 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8099, 8531 using Euclid's Algorithm?
Answer: For arbitrary numbers 8099, 8531 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.