Highest Common Factor of 3307, 8831 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 3307, 8831 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3307, 8831 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 3307, 8831 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 3307, 8831 is 1.
HCF(3307, 8831) = 1
HCF of 3307, 8831 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3307, 8831 is 1.
Highest Common Factor of 3307,8831 is 1
Step 1: Since 8831 > 3307, we apply the division lemma to 8831 and 3307, to get
8831 = 3307 x 2 + 2217
Step 2: Since the reminder 3307 ≠ 0, we apply division lemma to 2217 and 3307, to get
3307 = 2217 x 1 + 1090
Step 3: We consider the new divisor 2217 and the new remainder 1090, and apply the division lemma to get
2217 = 1090 x 2 + 37
We consider the new divisor 1090 and the new remainder 37,and apply the division lemma to get
1090 = 37 x 29 + 17
We consider the new divisor 37 and the new remainder 17,and apply the division lemma to get
37 = 17 x 2 + 3
We consider the new divisor 17 and the new remainder 3,and apply the division lemma to get
17 = 3 x 5 + 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 3307 and 8831 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(37,17) = HCF(1090,37) = HCF(2217,1090) = HCF(3307,2217) = HCF(8831,3307) .
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Frequently Asked Questions on HCF of 3307, 8831 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 3307, 8831?
Answer: HCF of 3307, 8831 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3307, 8831 using Euclid's Algorithm?
Answer: For arbitrary numbers 3307, 8831 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.