Highest Common Factor of 4599, 8547 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 4599, 8547 i.e. 21 the largest integer that leaves a remainder zero for all numbers.
HCF of 4599, 8547 is 21 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 4599, 8547 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 4599, 8547 is 21.
HCF(4599, 8547) = 21
HCF of 4599, 8547 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4599, 8547 is 21.
Highest Common Factor of 4599,8547 is 21
Step 1: Since 8547 > 4599, we apply the division lemma to 8547 and 4599, to get
8547 = 4599 x 1 + 3948
Step 2: Since the reminder 4599 ≠ 0, we apply division lemma to 3948 and 4599, to get
4599 = 3948 x 1 + 651
Step 3: We consider the new divisor 3948 and the new remainder 651, and apply the division lemma to get
3948 = 651 x 6 + 42
We consider the new divisor 651 and the new remainder 42,and apply the division lemma to get
651 = 42 x 15 + 21
We consider the new divisor 42 and the new remainder 21,and apply the division lemma to get
42 = 21 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 21, the HCF of 4599 and 8547 is 21
Notice that 21 = HCF(42,21) = HCF(651,42) = HCF(3948,651) = HCF(4599,3948) = HCF(8547,4599) .
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Frequently Asked Questions on HCF of 4599, 8547 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 4599, 8547?
Answer: HCF of 4599, 8547 is 21 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4599, 8547 using Euclid's Algorithm?
Answer: For arbitrary numbers 4599, 8547 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.