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 8197, 4333 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 8197, 4333 is 7 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 8197, 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 8197, 4333 is 7.
HCF(8197, 4333) = 7
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8197, 4333 is 7.
Step 1: Since 8197 > 4333, we apply the division lemma to 8197 and 4333, to get
8197 = 4333 x 1 + 3864
Step 2: Since the reminder 4333 ≠ 0, we apply division lemma to 3864 and 4333, to get
4333 = 3864 x 1 + 469
Step 3: We consider the new divisor 3864 and the new remainder 469, and apply the division lemma to get
3864 = 469 x 8 + 112
We consider the new divisor 469 and the new remainder 112,and apply the division lemma to get
469 = 112 x 4 + 21
We consider the new divisor 112 and the new remainder 21,and apply the division lemma to get
112 = 21 x 5 + 7
We consider the new divisor 21 and the new remainder 7,and apply the division lemma to get
21 = 7 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 8197 and 4333 is 7
Notice that 7 = HCF(21,7) = HCF(112,21) = HCF(469,112) = HCF(3864,469) = HCF(4333,3864) = HCF(8197,4333) .
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 8197, 4333?
Answer: HCF of 8197, 4333 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8197, 4333 using Euclid's Algorithm?
Answer: For arbitrary numbers 8197, 4333 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.