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 8033, 4833 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8033, 4833 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 8033, 4833 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 8033, 4833 is 1.
HCF(8033, 4833) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8033, 4833 is 1.
Step 1: Since 8033 > 4833, we apply the division lemma to 8033 and 4833, to get
8033 = 4833 x 1 + 3200
Step 2: Since the reminder 4833 ≠ 0, we apply division lemma to 3200 and 4833, to get
4833 = 3200 x 1 + 1633
Step 3: We consider the new divisor 3200 and the new remainder 1633, and apply the division lemma to get
3200 = 1633 x 1 + 1567
We consider the new divisor 1633 and the new remainder 1567,and apply the division lemma to get
1633 = 1567 x 1 + 66
We consider the new divisor 1567 and the new remainder 66,and apply the division lemma to get
1567 = 66 x 23 + 49
We consider the new divisor 66 and the new remainder 49,and apply the division lemma to get
66 = 49 x 1 + 17
We consider the new divisor 49 and the new remainder 17,and apply the division lemma to get
49 = 17 x 2 + 15
We consider the new divisor 17 and the new remainder 15,and apply the division lemma to get
17 = 15 x 1 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 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 8033 and 4833 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(17,15) = HCF(49,17) = HCF(66,49) = HCF(1567,66) = HCF(1633,1567) = HCF(3200,1633) = HCF(4833,3200) = HCF(8033,4833) .
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 8033, 4833?
Answer: HCF of 8033, 4833 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8033, 4833 using Euclid's Algorithm?
Answer: For arbitrary numbers 8033, 4833 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.