Highest Common Factor of 8300, 9622 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 8300, 9622 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8300, 9622 is 2 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 8300, 9622 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 8300, 9622 is 2.
HCF(8300, 9622) = 2
HCF of 8300, 9622 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8300, 9622 is 2.
Highest Common Factor of 8300,9622 is 2
Step 1: Since 9622 > 8300, we apply the division lemma to 9622 and 8300, to get
9622 = 8300 x 1 + 1322
Step 2: Since the reminder 8300 ≠ 0, we apply division lemma to 1322 and 8300, to get
8300 = 1322 x 6 + 368
Step 3: We consider the new divisor 1322 and the new remainder 368, and apply the division lemma to get
1322 = 368 x 3 + 218
We consider the new divisor 368 and the new remainder 218,and apply the division lemma to get
368 = 218 x 1 + 150
We consider the new divisor 218 and the new remainder 150,and apply the division lemma to get
218 = 150 x 1 + 68
We consider the new divisor 150 and the new remainder 68,and apply the division lemma to get
150 = 68 x 2 + 14
We consider the new divisor 68 and the new remainder 14,and apply the division lemma to get
68 = 14 x 4 + 12
We consider the new divisor 14 and the new remainder 12,and apply the division lemma to get
14 = 12 x 1 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8300 and 9622 is 2
Notice that 2 = HCF(12,2) = HCF(14,12) = HCF(68,14) = HCF(150,68) = HCF(218,150) = HCF(368,218) = HCF(1322,368) = HCF(8300,1322) = HCF(9622,8300) .
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Frequently Asked Questions on HCF of 8300, 9622 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 8300, 9622?
Answer: HCF of 8300, 9622 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8300, 9622 using Euclid's Algorithm?
Answer: For arbitrary numbers 8300, 9622 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.