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 9133, 8065 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9133, 8065 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 9133, 8065 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 9133, 8065 is 1.
HCF(9133, 8065) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9133, 8065 is 1.
Step 1: Since 9133 > 8065, we apply the division lemma to 9133 and 8065, to get
9133 = 8065 x 1 + 1068
Step 2: Since the reminder 8065 ≠ 0, we apply division lemma to 1068 and 8065, to get
8065 = 1068 x 7 + 589
Step 3: We consider the new divisor 1068 and the new remainder 589, and apply the division lemma to get
1068 = 589 x 1 + 479
We consider the new divisor 589 and the new remainder 479,and apply the division lemma to get
589 = 479 x 1 + 110
We consider the new divisor 479 and the new remainder 110,and apply the division lemma to get
479 = 110 x 4 + 39
We consider the new divisor 110 and the new remainder 39,and apply the division lemma to get
110 = 39 x 2 + 32
We consider the new divisor 39 and the new remainder 32,and apply the division lemma to get
39 = 32 x 1 + 7
We consider the new divisor 32 and the new remainder 7,and apply the division lemma to get
32 = 7 x 4 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9133 and 8065 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(32,7) = HCF(39,32) = HCF(110,39) = HCF(479,110) = HCF(589,479) = HCF(1068,589) = HCF(8065,1068) = HCF(9133,8065) .
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 9133, 8065?
Answer: HCF of 9133, 8065 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9133, 8065 using Euclid's Algorithm?
Answer: For arbitrary numbers 9133, 8065 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.