Highest Common Factor of 8321, 3521 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 8321, 3521 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8321, 3521 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 8321, 3521 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 8321, 3521 is 1.
HCF(8321, 3521) = 1
HCF of 8321, 3521 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8321, 3521 is 1.
Highest Common Factor of 8321,3521 is 1
Step 1: Since 8321 > 3521, we apply the division lemma to 8321 and 3521, to get
8321 = 3521 x 2 + 1279
Step 2: Since the reminder 3521 ≠ 0, we apply division lemma to 1279 and 3521, to get
3521 = 1279 x 2 + 963
Step 3: We consider the new divisor 1279 and the new remainder 963, and apply the division lemma to get
1279 = 963 x 1 + 316
We consider the new divisor 963 and the new remainder 316,and apply the division lemma to get
963 = 316 x 3 + 15
We consider the new divisor 316 and the new remainder 15,and apply the division lemma to get
316 = 15 x 21 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8321 and 3521 is 1
Notice that 1 = HCF(15,1) = HCF(316,15) = HCF(963,316) = HCF(1279,963) = HCF(3521,1279) = HCF(8321,3521) .
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Frequently Asked Questions on HCF of 8321, 3521 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 8321, 3521?
Answer: HCF of 8321, 3521 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8321, 3521 using Euclid's Algorithm?
Answer: For arbitrary numbers 8321, 3521 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.