Highest Common Factor of 7299, 9432 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 7299, 9432 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 7299, 9432 is 9 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 7299, 9432 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 7299, 9432 is 9.
HCF(7299, 9432) = 9
HCF of 7299, 9432 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7299, 9432 is 9.
Highest Common Factor of 7299,9432 is 9
Step 1: Since 9432 > 7299, we apply the division lemma to 9432 and 7299, to get
9432 = 7299 x 1 + 2133
Step 2: Since the reminder 7299 ≠ 0, we apply division lemma to 2133 and 7299, to get
7299 = 2133 x 3 + 900
Step 3: We consider the new divisor 2133 and the new remainder 900, and apply the division lemma to get
2133 = 900 x 2 + 333
We consider the new divisor 900 and the new remainder 333,and apply the division lemma to get
900 = 333 x 2 + 234
We consider the new divisor 333 and the new remainder 234,and apply the division lemma to get
333 = 234 x 1 + 99
We consider the new divisor 234 and the new remainder 99,and apply the division lemma to get
234 = 99 x 2 + 36
We consider the new divisor 99 and the new remainder 36,and apply the division lemma to get
99 = 36 x 2 + 27
We consider the new divisor 36 and the new remainder 27,and apply the division lemma to get
36 = 27 x 1 + 9
We consider the new divisor 27 and the new remainder 9,and apply the division lemma to get
27 = 9 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 7299 and 9432 is 9
Notice that 9 = HCF(27,9) = HCF(36,27) = HCF(99,36) = HCF(234,99) = HCF(333,234) = HCF(900,333) = HCF(2133,900) = HCF(7299,2133) = HCF(9432,7299) .
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Frequently Asked Questions on HCF of 7299, 9432 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 7299, 9432?
Answer: HCF of 7299, 9432 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7299, 9432 using Euclid's Algorithm?
Answer: For arbitrary numbers 7299, 9432 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.