Highest Common Factor of 4323, 6039 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 4323, 6039 i.e. 33 the largest integer that leaves a remainder zero for all numbers.
HCF of 4323, 6039 is 33 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 4323, 6039 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 4323, 6039 is 33.
HCF(4323, 6039) = 33
HCF of 4323, 6039 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4323, 6039 is 33.
Highest Common Factor of 4323,6039 is 33
Step 1: Since 6039 > 4323, we apply the division lemma to 6039 and 4323, to get
6039 = 4323 x 1 + 1716
Step 2: Since the reminder 4323 ≠ 0, we apply division lemma to 1716 and 4323, to get
4323 = 1716 x 2 + 891
Step 3: We consider the new divisor 1716 and the new remainder 891, and apply the division lemma to get
1716 = 891 x 1 + 825
We consider the new divisor 891 and the new remainder 825,and apply the division lemma to get
891 = 825 x 1 + 66
We consider the new divisor 825 and the new remainder 66,and apply the division lemma to get
825 = 66 x 12 + 33
We consider the new divisor 66 and the new remainder 33,and apply the division lemma to get
66 = 33 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 33, the HCF of 4323 and 6039 is 33
Notice that 33 = HCF(66,33) = HCF(825,66) = HCF(891,825) = HCF(1716,891) = HCF(4323,1716) = HCF(6039,4323) .
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Frequently Asked Questions on HCF of 4323, 6039 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 4323, 6039?
Answer: HCF of 4323, 6039 is 33 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4323, 6039 using Euclid's Algorithm?
Answer: For arbitrary numbers 4323, 6039 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.