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 8089, 4651 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8089, 4651 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 8089, 4651 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 8089, 4651 is 1.
HCF(8089, 4651) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8089, 4651 is 1.
Step 1: Since 8089 > 4651, we apply the division lemma to 8089 and 4651, to get
8089 = 4651 x 1 + 3438
Step 2: Since the reminder 4651 ≠ 0, we apply division lemma to 3438 and 4651, to get
4651 = 3438 x 1 + 1213
Step 3: We consider the new divisor 3438 and the new remainder 1213, and apply the division lemma to get
3438 = 1213 x 2 + 1012
We consider the new divisor 1213 and the new remainder 1012,and apply the division lemma to get
1213 = 1012 x 1 + 201
We consider the new divisor 1012 and the new remainder 201,and apply the division lemma to get
1012 = 201 x 5 + 7
We consider the new divisor 201 and the new remainder 7,and apply the division lemma to get
201 = 7 x 28 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 8089 and 4651 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(201,7) = HCF(1012,201) = HCF(1213,1012) = HCF(3438,1213) = HCF(4651,3438) = HCF(8089,4651) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 8089, 4651?
Answer: HCF of 8089, 4651 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8089, 4651 using Euclid's Algorithm?
Answer: For arbitrary numbers 8089, 4651 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.