Highest Common Factor of 7299, 9477 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, 9477 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 7299, 9477 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, 9477 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, 9477 is 9.
HCF(7299, 9477) = 9
HCF of 7299, 9477 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, 9477 is 9.
Highest Common Factor of 7299,9477 is 9
Step 1: Since 9477 > 7299, we apply the division lemma to 9477 and 7299, to get
9477 = 7299 x 1 + 2178
Step 2: Since the reminder 7299 ≠ 0, we apply division lemma to 2178 and 7299, to get
7299 = 2178 x 3 + 765
Step 3: We consider the new divisor 2178 and the new remainder 765, and apply the division lemma to get
2178 = 765 x 2 + 648
We consider the new divisor 765 and the new remainder 648,and apply the division lemma to get
765 = 648 x 1 + 117
We consider the new divisor 648 and the new remainder 117,and apply the division lemma to get
648 = 117 x 5 + 63
We consider the new divisor 117 and the new remainder 63,and apply the division lemma to get
117 = 63 x 1 + 54
We consider the new divisor 63 and the new remainder 54,and apply the division lemma to get
63 = 54 x 1 + 9
We consider the new divisor 54 and the new remainder 9,and apply the division lemma to get
54 = 9 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 7299 and 9477 is 9
Notice that 9 = HCF(54,9) = HCF(63,54) = HCF(117,63) = HCF(648,117) = HCF(765,648) = HCF(2178,765) = HCF(7299,2178) = HCF(9477,7299) .
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Frequently Asked Questions on HCF of 7299, 9477 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, 9477?
Answer: HCF of 7299, 9477 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7299, 9477 using Euclid's Algorithm?
Answer: For arbitrary numbers 7299, 9477 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.