Highest Common Factor of 1032, 8469 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 1032, 8469 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 1032, 8469 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 1032, 8469 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 1032, 8469 is 3.
HCF(1032, 8469) = 3
HCF of 1032, 8469 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1032, 8469 is 3.
Highest Common Factor of 1032,8469 is 3
Step 1: Since 8469 > 1032, we apply the division lemma to 8469 and 1032, to get
8469 = 1032 x 8 + 213
Step 2: Since the reminder 1032 ≠ 0, we apply division lemma to 213 and 1032, to get
1032 = 213 x 4 + 180
Step 3: We consider the new divisor 213 and the new remainder 180, and apply the division lemma to get
213 = 180 x 1 + 33
We consider the new divisor 180 and the new remainder 33,and apply the division lemma to get
180 = 33 x 5 + 15
We consider the new divisor 33 and the new remainder 15,and apply the division lemma to get
33 = 15 x 2 + 3
We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get
15 = 3 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 1032 and 8469 is 3
Notice that 3 = HCF(15,3) = HCF(33,15) = HCF(180,33) = HCF(213,180) = HCF(1032,213) = HCF(8469,1032) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1032, 8469 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 1032, 8469?
Answer: HCF of 1032, 8469 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1032, 8469 using Euclid's Algorithm?
Answer: For arbitrary numbers 1032, 8469 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.