Highest Common Factor of 5994, 3365 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 5994, 3365 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5994, 3365 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 5994, 3365 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 5994, 3365 is 1.
HCF(5994, 3365) = 1
HCF of 5994, 3365 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5994, 3365 is 1.
Highest Common Factor of 5994,3365 is 1
Step 1: Since 5994 > 3365, we apply the division lemma to 5994 and 3365, to get
5994 = 3365 x 1 + 2629
Step 2: Since the reminder 3365 ≠ 0, we apply division lemma to 2629 and 3365, to get
3365 = 2629 x 1 + 736
Step 3: We consider the new divisor 2629 and the new remainder 736, and apply the division lemma to get
2629 = 736 x 3 + 421
We consider the new divisor 736 and the new remainder 421,and apply the division lemma to get
736 = 421 x 1 + 315
We consider the new divisor 421 and the new remainder 315,and apply the division lemma to get
421 = 315 x 1 + 106
We consider the new divisor 315 and the new remainder 106,and apply the division lemma to get
315 = 106 x 2 + 103
We consider the new divisor 106 and the new remainder 103,and apply the division lemma to get
106 = 103 x 1 + 3
We consider the new divisor 103 and the new remainder 3,and apply the division lemma to get
103 = 3 x 34 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5994 and 3365 is 1
Notice that 1 = HCF(3,1) = HCF(103,3) = HCF(106,103) = HCF(315,106) = HCF(421,315) = HCF(736,421) = HCF(2629,736) = HCF(3365,2629) = HCF(5994,3365) .
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Frequently Asked Questions on HCF of 5994, 3365 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 5994, 3365?
Answer: HCF of 5994, 3365 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5994, 3365 using Euclid's Algorithm?
Answer: For arbitrary numbers 5994, 3365 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.