Highest Common Factor of 3323, 1791 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 3323, 1791 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3323, 1791 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 3323, 1791 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 3323, 1791 is 1.
HCF(3323, 1791) = 1
HCF of 3323, 1791 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3323, 1791 is 1.
Highest Common Factor of 3323,1791 is 1
Step 1: Since 3323 > 1791, we apply the division lemma to 3323 and 1791, to get
3323 = 1791 x 1 + 1532
Step 2: Since the reminder 1791 ≠ 0, we apply division lemma to 1532 and 1791, to get
1791 = 1532 x 1 + 259
Step 3: We consider the new divisor 1532 and the new remainder 259, and apply the division lemma to get
1532 = 259 x 5 + 237
We consider the new divisor 259 and the new remainder 237,and apply the division lemma to get
259 = 237 x 1 + 22
We consider the new divisor 237 and the new remainder 22,and apply the division lemma to get
237 = 22 x 10 + 17
We consider the new divisor 22 and the new remainder 17,and apply the division lemma to get
22 = 17 x 1 + 5
We consider the new divisor 17 and the new remainder 5,and apply the division lemma to get
17 = 5 x 3 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 3323 and 1791 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(17,5) = HCF(22,17) = HCF(237,22) = HCF(259,237) = HCF(1532,259) = HCF(1791,1532) = HCF(3323,1791) .
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Frequently Asked Questions on HCF of 3323, 1791 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 3323, 1791?
Answer: HCF of 3323, 1791 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3323, 1791 using Euclid's Algorithm?
Answer: For arbitrary numbers 3323, 1791 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.