Highest Common Factor of 8983, 9648 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 8983, 9648 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8983, 9648 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 8983, 9648 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 8983, 9648 is 1.
HCF(8983, 9648) = 1
HCF of 8983, 9648 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8983, 9648 is 1.
Highest Common Factor of 8983,9648 is 1
Step 1: Since 9648 > 8983, we apply the division lemma to 9648 and 8983, to get
9648 = 8983 x 1 + 665
Step 2: Since the reminder 8983 ≠ 0, we apply division lemma to 665 and 8983, to get
8983 = 665 x 13 + 338
Step 3: We consider the new divisor 665 and the new remainder 338, and apply the division lemma to get
665 = 338 x 1 + 327
We consider the new divisor 338 and the new remainder 327,and apply the division lemma to get
338 = 327 x 1 + 11
We consider the new divisor 327 and the new remainder 11,and apply the division lemma to get
327 = 11 x 29 + 8
We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get
11 = 8 x 1 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 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 8983 and 9648 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(327,11) = HCF(338,327) = HCF(665,338) = HCF(8983,665) = HCF(9648,8983) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8983, 9648 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 8983, 9648?
Answer: HCF of 8983, 9648 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8983, 9648 using Euclid's Algorithm?
Answer: For arbitrary numbers 8983, 9648 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.