Highest Common Factor of 9819, 9280 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 9819, 9280 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9819, 9280 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 9819, 9280 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 9819, 9280 is 1.
HCF(9819, 9280) = 1
HCF of 9819, 9280 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9819, 9280 is 1.
Highest Common Factor of 9819,9280 is 1
Step 1: Since 9819 > 9280, we apply the division lemma to 9819 and 9280, to get
9819 = 9280 x 1 + 539
Step 2: Since the reminder 9280 ≠ 0, we apply division lemma to 539 and 9280, to get
9280 = 539 x 17 + 117
Step 3: We consider the new divisor 539 and the new remainder 117, and apply the division lemma to get
539 = 117 x 4 + 71
We consider the new divisor 117 and the new remainder 71,and apply the division lemma to get
117 = 71 x 1 + 46
We consider the new divisor 71 and the new remainder 46,and apply the division lemma to get
71 = 46 x 1 + 25
We consider the new divisor 46 and the new remainder 25,and apply the division lemma to get
46 = 25 x 1 + 21
We consider the new divisor 25 and the new remainder 21,and apply the division lemma to get
25 = 21 x 1 + 4
We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get
21 = 4 x 5 + 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 9819 and 9280 is 1
Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(25,21) = HCF(46,25) = HCF(71,46) = HCF(117,71) = HCF(539,117) = HCF(9280,539) = HCF(9819,9280) .
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Frequently Asked Questions on HCF of 9819, 9280 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 9819, 9280?
Answer: HCF of 9819, 9280 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9819, 9280 using Euclid's Algorithm?
Answer: For arbitrary numbers 9819, 9280 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.