Highest Common Factor of 8521, 3649 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 8521, 3649 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8521, 3649 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 8521, 3649 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 8521, 3649 is 1.
HCF(8521, 3649) = 1
HCF of 8521, 3649 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8521, 3649 is 1.
Highest Common Factor of 8521,3649 is 1
Step 1: Since 8521 > 3649, we apply the division lemma to 8521 and 3649, to get
8521 = 3649 x 2 + 1223
Step 2: Since the reminder 3649 ≠ 0, we apply division lemma to 1223 and 3649, to get
3649 = 1223 x 2 + 1203
Step 3: We consider the new divisor 1223 and the new remainder 1203, and apply the division lemma to get
1223 = 1203 x 1 + 20
We consider the new divisor 1203 and the new remainder 20,and apply the division lemma to get
1203 = 20 x 60 + 3
We consider the new divisor 20 and the new remainder 3,and apply the division lemma to get
20 = 3 x 6 + 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 8521 and 3649 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(20,3) = HCF(1203,20) = HCF(1223,1203) = HCF(3649,1223) = HCF(8521,3649) .
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Frequently Asked Questions on HCF of 8521, 3649 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 8521, 3649?
Answer: HCF of 8521, 3649 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8521, 3649 using Euclid's Algorithm?
Answer: For arbitrary numbers 8521, 3649 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.