Highest Common Factor of 3071, 1338 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 3071, 1338 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3071, 1338 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 3071, 1338 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 3071, 1338 is 1.
HCF(3071, 1338) = 1
HCF of 3071, 1338 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3071, 1338 is 1.
Highest Common Factor of 3071,1338 is 1
Step 1: Since 3071 > 1338, we apply the division lemma to 3071 and 1338, to get
3071 = 1338 x 2 + 395
Step 2: Since the reminder 1338 ≠ 0, we apply division lemma to 395 and 1338, to get
1338 = 395 x 3 + 153
Step 3: We consider the new divisor 395 and the new remainder 153, and apply the division lemma to get
395 = 153 x 2 + 89
We consider the new divisor 153 and the new remainder 89,and apply the division lemma to get
153 = 89 x 1 + 64
We consider the new divisor 89 and the new remainder 64,and apply the division lemma to get
89 = 64 x 1 + 25
We consider the new divisor 64 and the new remainder 25,and apply the division lemma to get
64 = 25 x 2 + 14
We consider the new divisor 25 and the new remainder 14,and apply the division lemma to get
25 = 14 x 1 + 11
We consider the new divisor 14 and the new remainder 11,and apply the division lemma to get
14 = 11 x 1 + 3
We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get
11 = 3 x 3 + 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 3071 and 1338 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(14,11) = HCF(25,14) = HCF(64,25) = HCF(89,64) = HCF(153,89) = HCF(395,153) = HCF(1338,395) = HCF(3071,1338) .
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Frequently Asked Questions on HCF of 3071, 1338 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 3071, 1338?
Answer: HCF of 3071, 1338 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3071, 1338 using Euclid's Algorithm?
Answer: For arbitrary numbers 3071, 1338 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
