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 816, 4333 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 816, 4333 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 816, 4333 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 816, 4333 is 1.
HCF(816, 4333) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 816, 4333 is 1.
Step 1: Since 4333 > 816, we apply the division lemma to 4333 and 816, to get
4333 = 816 x 5 + 253
Step 2: Since the reminder 816 ≠ 0, we apply division lemma to 253 and 816, to get
816 = 253 x 3 + 57
Step 3: We consider the new divisor 253 and the new remainder 57, and apply the division lemma to get
253 = 57 x 4 + 25
We consider the new divisor 57 and the new remainder 25,and apply the division lemma to get
57 = 25 x 2 + 7
We consider the new divisor 25 and the new remainder 7,and apply the division lemma to get
25 = 7 x 3 + 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 816 and 4333 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(25,7) = HCF(57,25) = HCF(253,57) = HCF(816,253) = HCF(4333,816) .
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 816, 4333?
Answer: HCF of 816, 4333 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 816, 4333 using Euclid's Algorithm?
Answer: For arbitrary numbers 816, 4333 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.