Highest Common Factor of 9004, 6333 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 9004, 6333 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9004, 6333 is 1 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 9004, 6333 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 9004, 6333 is 1.
HCF(9004, 6333) = 1
HCF of 9004, 6333 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9004, 6333 is 1.
Highest Common Factor of 9004,6333 is 1
Step 1: Since 9004 > 6333, we apply the division lemma to 9004 and 6333, to get
9004 = 6333 x 1 + 2671
Step 2: Since the reminder 6333 ≠ 0, we apply division lemma to 2671 and 6333, to get
6333 = 2671 x 2 + 991
Step 3: We consider the new divisor 2671 and the new remainder 991, and apply the division lemma to get
2671 = 991 x 2 + 689
We consider the new divisor 991 and the new remainder 689,and apply the division lemma to get
991 = 689 x 1 + 302
We consider the new divisor 689 and the new remainder 302,and apply the division lemma to get
689 = 302 x 2 + 85
We consider the new divisor 302 and the new remainder 85,and apply the division lemma to get
302 = 85 x 3 + 47
We consider the new divisor 85 and the new remainder 47,and apply the division lemma to get
85 = 47 x 1 + 38
We consider the new divisor 47 and the new remainder 38,and apply the division lemma to get
47 = 38 x 1 + 9
We consider the new divisor 38 and the new remainder 9,and apply the division lemma to get
38 = 9 x 4 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9004 and 6333 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(38,9) = HCF(47,38) = HCF(85,47) = HCF(302,85) = HCF(689,302) = HCF(991,689) = HCF(2671,991) = HCF(6333,2671) = HCF(9004,6333) .
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Frequently Asked Questions on HCF of 9004, 6333 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 9004, 6333?
Answer: HCF of 9004, 6333 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9004, 6333 using Euclid's Algorithm?
Answer: For arbitrary numbers 9004, 6333 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.