Highest Common Factor of 3289, 8501 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 3289, 8501 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3289, 8501 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 3289, 8501 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 3289, 8501 is 1.
HCF(3289, 8501) = 1
HCF of 3289, 8501 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3289, 8501 is 1.
Highest Common Factor of 3289,8501 is 1
Step 1: Since 8501 > 3289, we apply the division lemma to 8501 and 3289, to get
8501 = 3289 x 2 + 1923
Step 2: Since the reminder 3289 ≠ 0, we apply division lemma to 1923 and 3289, to get
3289 = 1923 x 1 + 1366
Step 3: We consider the new divisor 1923 and the new remainder 1366, and apply the division lemma to get
1923 = 1366 x 1 + 557
We consider the new divisor 1366 and the new remainder 557,and apply the division lemma to get
1366 = 557 x 2 + 252
We consider the new divisor 557 and the new remainder 252,and apply the division lemma to get
557 = 252 x 2 + 53
We consider the new divisor 252 and the new remainder 53,and apply the division lemma to get
252 = 53 x 4 + 40
We consider the new divisor 53 and the new remainder 40,and apply the division lemma to get
53 = 40 x 1 + 13
We consider the new divisor 40 and the new remainder 13,and apply the division lemma to get
40 = 13 x 3 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3289 and 8501 is 1
Notice that 1 = HCF(13,1) = HCF(40,13) = HCF(53,40) = HCF(252,53) = HCF(557,252) = HCF(1366,557) = HCF(1923,1366) = HCF(3289,1923) = HCF(8501,3289) .
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Frequently Asked Questions on HCF of 3289, 8501 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 3289, 8501?
Answer: HCF of 3289, 8501 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3289, 8501 using Euclid's Algorithm?
Answer: For arbitrary numbers 3289, 8501 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.