Highest Common Factor of 9524, 8082 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 9524, 8082 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9524, 8082 is 2 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 9524, 8082 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 9524, 8082 is 2.
HCF(9524, 8082) = 2
HCF of 9524, 8082 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9524, 8082 is 2.
Highest Common Factor of 9524,8082 is 2
Step 1: Since 9524 > 8082, we apply the division lemma to 9524 and 8082, to get
9524 = 8082 x 1 + 1442
Step 2: Since the reminder 8082 ≠ 0, we apply division lemma to 1442 and 8082, to get
8082 = 1442 x 5 + 872
Step 3: We consider the new divisor 1442 and the new remainder 872, and apply the division lemma to get
1442 = 872 x 1 + 570
We consider the new divisor 872 and the new remainder 570,and apply the division lemma to get
872 = 570 x 1 + 302
We consider the new divisor 570 and the new remainder 302,and apply the division lemma to get
570 = 302 x 1 + 268
We consider the new divisor 302 and the new remainder 268,and apply the division lemma to get
302 = 268 x 1 + 34
We consider the new divisor 268 and the new remainder 34,and apply the division lemma to get
268 = 34 x 7 + 30
We consider the new divisor 34 and the new remainder 30,and apply the division lemma to get
34 = 30 x 1 + 4
We consider the new divisor 30 and the new remainder 4,and apply the division lemma to get
30 = 4 x 7 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9524 and 8082 is 2
Notice that 2 = HCF(4,2) = HCF(30,4) = HCF(34,30) = HCF(268,34) = HCF(302,268) = HCF(570,302) = HCF(872,570) = HCF(1442,872) = HCF(8082,1442) = HCF(9524,8082) .
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Frequently Asked Questions on HCF of 9524, 8082 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 9524, 8082?
Answer: HCF of 9524, 8082 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9524, 8082 using Euclid's Algorithm?
Answer: For arbitrary numbers 9524, 8082 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.