Highest Common Factor of 344, 3281 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 344, 3281 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 344, 3281 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 344, 3281 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 344, 3281 is 1.
HCF(344, 3281) = 1
HCF of 344, 3281 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 344, 3281 is 1.
Highest Common Factor of 344,3281 is 1
Step 1: Since 3281 > 344, we apply the division lemma to 3281 and 344, to get
3281 = 344 x 9 + 185
Step 2: Since the reminder 344 ≠ 0, we apply division lemma to 185 and 344, to get
344 = 185 x 1 + 159
Step 3: We consider the new divisor 185 and the new remainder 159, and apply the division lemma to get
185 = 159 x 1 + 26
We consider the new divisor 159 and the new remainder 26,and apply the division lemma to get
159 = 26 x 6 + 3
We consider the new divisor 26 and the new remainder 3,and apply the division lemma to get
26 = 3 x 8 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 344 and 3281 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(26,3) = HCF(159,26) = HCF(185,159) = HCF(344,185) = HCF(3281,344) .
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Frequently Asked Questions on HCF of 344, 3281 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 344, 3281?
Answer: HCF of 344, 3281 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 344, 3281 using Euclid's Algorithm?
Answer: For arbitrary numbers 344, 3281 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.