Highest Common Factor of 4797, 7569 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 4797, 7569 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 4797, 7569 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 4797, 7569 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 4797, 7569 is 9.
HCF(4797, 7569) = 9
HCF of 4797, 7569 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4797, 7569 is 9.
Highest Common Factor of 4797,7569 is 9
Step 1: Since 7569 > 4797, we apply the division lemma to 7569 and 4797, to get
7569 = 4797 x 1 + 2772
Step 2: Since the reminder 4797 ≠ 0, we apply division lemma to 2772 and 4797, to get
4797 = 2772 x 1 + 2025
Step 3: We consider the new divisor 2772 and the new remainder 2025, and apply the division lemma to get
2772 = 2025 x 1 + 747
We consider the new divisor 2025 and the new remainder 747,and apply the division lemma to get
2025 = 747 x 2 + 531
We consider the new divisor 747 and the new remainder 531,and apply the division lemma to get
747 = 531 x 1 + 216
We consider the new divisor 531 and the new remainder 216,and apply the division lemma to get
531 = 216 x 2 + 99
We consider the new divisor 216 and the new remainder 99,and apply the division lemma to get
216 = 99 x 2 + 18
We consider the new divisor 99 and the new remainder 18,and apply the division lemma to get
99 = 18 x 5 + 9
We consider the new divisor 18 and the new remainder 9,and apply the division lemma to get
18 = 9 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 4797 and 7569 is 9
Notice that 9 = HCF(18,9) = HCF(99,18) = HCF(216,99) = HCF(531,216) = HCF(747,531) = HCF(2025,747) = HCF(2772,2025) = HCF(4797,2772) = HCF(7569,4797) .
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Frequently Asked Questions on HCF of 4797, 7569 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 4797, 7569?
Answer: HCF of 4797, 7569 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4797, 7569 using Euclid's Algorithm?
Answer: For arbitrary numbers 4797, 7569 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
