Highest Common Factor of 3367, 7181 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 3367, 7181 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3367, 7181 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 3367, 7181 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 3367, 7181 is 1.
HCF(3367, 7181) = 1
HCF of 3367, 7181 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3367, 7181 is 1.
Highest Common Factor of 3367,7181 is 1
Step 1: Since 7181 > 3367, we apply the division lemma to 7181 and 3367, to get
7181 = 3367 x 2 + 447
Step 2: Since the reminder 3367 ≠ 0, we apply division lemma to 447 and 3367, to get
3367 = 447 x 7 + 238
Step 3: We consider the new divisor 447 and the new remainder 238, and apply the division lemma to get
447 = 238 x 1 + 209
We consider the new divisor 238 and the new remainder 209,and apply the division lemma to get
238 = 209 x 1 + 29
We consider the new divisor 209 and the new remainder 29,and apply the division lemma to get
209 = 29 x 7 + 6
We consider the new divisor 29 and the new remainder 6,and apply the division lemma to get
29 = 6 x 4 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3367 and 7181 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(29,6) = HCF(209,29) = HCF(238,209) = HCF(447,238) = HCF(3367,447) = HCF(7181,3367) .
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Frequently Asked Questions on HCF of 3367, 7181 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 3367, 7181?
Answer: HCF of 3367, 7181 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3367, 7181 using Euclid's Algorithm?
Answer: For arbitrary numbers 3367, 7181 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.