Highest Common Factor of 9399, 8832 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 9399, 8832 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 9399, 8832 is 3 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 9399, 8832 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 9399, 8832 is 3.
HCF(9399, 8832) = 3
HCF of 9399, 8832 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9399, 8832 is 3.
Highest Common Factor of 9399,8832 is 3
Step 1: Since 9399 > 8832, we apply the division lemma to 9399 and 8832, to get
9399 = 8832 x 1 + 567
Step 2: Since the reminder 8832 ≠ 0, we apply division lemma to 567 and 8832, to get
8832 = 567 x 15 + 327
Step 3: We consider the new divisor 567 and the new remainder 327, and apply the division lemma to get
567 = 327 x 1 + 240
We consider the new divisor 327 and the new remainder 240,and apply the division lemma to get
327 = 240 x 1 + 87
We consider the new divisor 240 and the new remainder 87,and apply the division lemma to get
240 = 87 x 2 + 66
We consider the new divisor 87 and the new remainder 66,and apply the division lemma to get
87 = 66 x 1 + 21
We consider the new divisor 66 and the new remainder 21,and apply the division lemma to get
66 = 21 x 3 + 3
We consider the new divisor 21 and the new remainder 3,and apply the division lemma to get
21 = 3 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 9399 and 8832 is 3
Notice that 3 = HCF(21,3) = HCF(66,21) = HCF(87,66) = HCF(240,87) = HCF(327,240) = HCF(567,327) = HCF(8832,567) = HCF(9399,8832) .
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Frequently Asked Questions on HCF of 9399, 8832 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 9399, 8832?
Answer: HCF of 9399, 8832 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9399, 8832 using Euclid's Algorithm?
Answer: For arbitrary numbers 9399, 8832 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.