Highest Common Factor of 8698, 8299 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 8698, 8299 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8698, 8299 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 8698, 8299 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 8698, 8299 is 1.
HCF(8698, 8299) = 1
HCF of 8698, 8299 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8698, 8299 is 1.
Highest Common Factor of 8698,8299 is 1
Step 1: Since 8698 > 8299, we apply the division lemma to 8698 and 8299, to get
8698 = 8299 x 1 + 399
Step 2: Since the reminder 8299 ≠ 0, we apply division lemma to 399 and 8299, to get
8299 = 399 x 20 + 319
Step 3: We consider the new divisor 399 and the new remainder 319, and apply the division lemma to get
399 = 319 x 1 + 80
We consider the new divisor 319 and the new remainder 80,and apply the division lemma to get
319 = 80 x 3 + 79
We consider the new divisor 80 and the new remainder 79,and apply the division lemma to get
80 = 79 x 1 + 1
We consider the new divisor 79 and the new remainder 1,and apply the division lemma to get
79 = 1 x 79 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8698 and 8299 is 1
Notice that 1 = HCF(79,1) = HCF(80,79) = HCF(319,80) = HCF(399,319) = HCF(8299,399) = HCF(8698,8299) .
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Frequently Asked Questions on HCF of 8698, 8299 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 8698, 8299?
Answer: HCF of 8698, 8299 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8698, 8299 using Euclid's Algorithm?
Answer: For arbitrary numbers 8698, 8299 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.