Highest Common Factor of 8523, 1621 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 8523, 1621 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8523, 1621 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 8523, 1621 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 8523, 1621 is 1.
HCF(8523, 1621) = 1
HCF of 8523, 1621 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8523, 1621 is 1.
Highest Common Factor of 8523,1621 is 1
Step 1: Since 8523 > 1621, we apply the division lemma to 8523 and 1621, to get
8523 = 1621 x 5 + 418
Step 2: Since the reminder 1621 ≠ 0, we apply division lemma to 418 and 1621, to get
1621 = 418 x 3 + 367
Step 3: We consider the new divisor 418 and the new remainder 367, and apply the division lemma to get
418 = 367 x 1 + 51
We consider the new divisor 367 and the new remainder 51,and apply the division lemma to get
367 = 51 x 7 + 10
We consider the new divisor 51 and the new remainder 10,and apply the division lemma to get
51 = 10 x 5 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8523 and 1621 is 1
Notice that 1 = HCF(10,1) = HCF(51,10) = HCF(367,51) = HCF(418,367) = HCF(1621,418) = HCF(8523,1621) .
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Frequently Asked Questions on HCF of 8523, 1621 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 8523, 1621?
Answer: HCF of 8523, 1621 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8523, 1621 using Euclid's Algorithm?
Answer: For arbitrary numbers 8523, 1621 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.