Highest Common Factor of 3353, 6284 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 3353, 6284 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3353, 6284 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 3353, 6284 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 3353, 6284 is 1.
HCF(3353, 6284) = 1
HCF of 3353, 6284 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3353, 6284 is 1.
Highest Common Factor of 3353,6284 is 1
Step 1: Since 6284 > 3353, we apply the division lemma to 6284 and 3353, to get
6284 = 3353 x 1 + 2931
Step 2: Since the reminder 3353 ≠ 0, we apply division lemma to 2931 and 3353, to get
3353 = 2931 x 1 + 422
Step 3: We consider the new divisor 2931 and the new remainder 422, and apply the division lemma to get
2931 = 422 x 6 + 399
We consider the new divisor 422 and the new remainder 399,and apply the division lemma to get
422 = 399 x 1 + 23
We consider the new divisor 399 and the new remainder 23,and apply the division lemma to get
399 = 23 x 17 + 8
We consider the new divisor 23 and the new remainder 8,and apply the division lemma to get
23 = 8 x 2 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3353 and 6284 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(23,8) = HCF(399,23) = HCF(422,399) = HCF(2931,422) = HCF(3353,2931) = HCF(6284,3353) .
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Frequently Asked Questions on HCF of 3353, 6284 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 3353, 6284?
Answer: HCF of 3353, 6284 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3353, 6284 using Euclid's Algorithm?
Answer: For arbitrary numbers 3353, 6284 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.