Highest Common Factor of 9807, 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 9807, 8299 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9807, 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 9807, 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 9807, 8299 is 1.
HCF(9807, 8299) = 1
HCF of 9807, 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 9807, 8299 is 1.
Highest Common Factor of 9807,8299 is 1
Step 1: Since 9807 > 8299, we apply the division lemma to 9807 and 8299, to get
9807 = 8299 x 1 + 1508
Step 2: Since the reminder 8299 ≠ 0, we apply division lemma to 1508 and 8299, to get
8299 = 1508 x 5 + 759
Step 3: We consider the new divisor 1508 and the new remainder 759, and apply the division lemma to get
1508 = 759 x 1 + 749
We consider the new divisor 759 and the new remainder 749,and apply the division lemma to get
759 = 749 x 1 + 10
We consider the new divisor 749 and the new remainder 10,and apply the division lemma to get
749 = 10 x 74 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9807 and 8299 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(749,10) = HCF(759,749) = HCF(1508,759) = HCF(8299,1508) = HCF(9807,8299) .
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Frequently Asked Questions on HCF of 9807, 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 9807, 8299?
Answer: HCF of 9807, 8299 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9807, 8299 using Euclid's Algorithm?
Answer: For arbitrary numbers 9807, 8299 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.