Highest Common Factor of 8349, 3303 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 8349, 3303 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 8349, 3303 is 3 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 8349, 3303 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 8349, 3303 is 3.
HCF(8349, 3303) = 3
HCF of 8349, 3303 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8349, 3303 is 3.
Highest Common Factor of 8349,3303 is 3
Step 1: Since 8349 > 3303, we apply the division lemma to 8349 and 3303, to get
8349 = 3303 x 2 + 1743
Step 2: Since the reminder 3303 ≠ 0, we apply division lemma to 1743 and 3303, to get
3303 = 1743 x 1 + 1560
Step 3: We consider the new divisor 1743 and the new remainder 1560, and apply the division lemma to get
1743 = 1560 x 1 + 183
We consider the new divisor 1560 and the new remainder 183,and apply the division lemma to get
1560 = 183 x 8 + 96
We consider the new divisor 183 and the new remainder 96,and apply the division lemma to get
183 = 96 x 1 + 87
We consider the new divisor 96 and the new remainder 87,and apply the division lemma to get
96 = 87 x 1 + 9
We consider the new divisor 87 and the new remainder 9,and apply the division lemma to get
87 = 9 x 9 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 8349 and 3303 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(87,9) = HCF(96,87) = HCF(183,96) = HCF(1560,183) = HCF(1743,1560) = HCF(3303,1743) = HCF(8349,3303) .
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Frequently Asked Questions on HCF of 8349, 3303 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 8349, 3303?
Answer: HCF of 8349, 3303 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8349, 3303 using Euclid's Algorithm?
Answer: For arbitrary numbers 8349, 3303 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.