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 9332, 8199 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9332, 8199 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 9332, 8199 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 9332, 8199 is 1.
HCF(9332, 8199) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9332, 8199 is 1.
Step 1: Since 9332 > 8199, we apply the division lemma to 9332 and 8199, to get
9332 = 8199 x 1 + 1133
Step 2: Since the reminder 8199 ≠ 0, we apply division lemma to 1133 and 8199, to get
8199 = 1133 x 7 + 268
Step 3: We consider the new divisor 1133 and the new remainder 268, and apply the division lemma to get
1133 = 268 x 4 + 61
We consider the new divisor 268 and the new remainder 61,and apply the division lemma to get
268 = 61 x 4 + 24
We consider the new divisor 61 and the new remainder 24,and apply the division lemma to get
61 = 24 x 2 + 13
We consider the new divisor 24 and the new remainder 13,and apply the division lemma to get
24 = 13 x 1 + 11
We consider the new divisor 13 and the new remainder 11,and apply the division lemma to get
13 = 11 x 1 + 2
We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get
11 = 2 x 5 + 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 9332 and 8199 is 1
Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(13,11) = HCF(24,13) = HCF(61,24) = HCF(268,61) = HCF(1133,268) = HCF(8199,1133) = HCF(9332,8199) .
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 9332, 8199?
Answer: HCF of 9332, 8199 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9332, 8199 using Euclid's Algorithm?
Answer: For arbitrary numbers 9332, 8199 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.