Highest Common Factor of 8790, 9483 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 8790, 9483 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 8790, 9483 is 3 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 8790, 9483 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 8790, 9483 is 3.
HCF(8790, 9483) = 3
HCF of 8790, 9483 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8790, 9483 is 3.
Highest Common Factor of 8790,9483 is 3
Step 1: Since 9483 > 8790, we apply the division lemma to 9483 and 8790, to get
9483 = 8790 x 1 + 693
Step 2: Since the reminder 8790 ≠ 0, we apply division lemma to 693 and 8790, to get
8790 = 693 x 12 + 474
Step 3: We consider the new divisor 693 and the new remainder 474, and apply the division lemma to get
693 = 474 x 1 + 219
We consider the new divisor 474 and the new remainder 219,and apply the division lemma to get
474 = 219 x 2 + 36
We consider the new divisor 219 and the new remainder 36,and apply the division lemma to get
219 = 36 x 6 + 3
We consider the new divisor 36 and the new remainder 3,and apply the division lemma to get
36 = 3 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 8790 and 9483 is 3
Notice that 3 = HCF(36,3) = HCF(219,36) = HCF(474,219) = HCF(693,474) = HCF(8790,693) = HCF(9483,8790) .
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Frequently Asked Questions on HCF of 8790, 9483 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 8790, 9483?
Answer: HCF of 8790, 9483 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8790, 9483 using Euclid's Algorithm?
Answer: For arbitrary numbers 8790, 9483 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.