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 329, 862 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 329, 862 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 329, 862 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 329, 862 is 1.
HCF(329, 862) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 329, 862 is 1.
Step 1: Since 862 > 329, we apply the division lemma to 862 and 329, to get
862 = 329 x 2 + 204
Step 2: Since the reminder 329 ≠ 0, we apply division lemma to 204 and 329, to get
329 = 204 x 1 + 125
Step 3: We consider the new divisor 204 and the new remainder 125, and apply the division lemma to get
204 = 125 x 1 + 79
We consider the new divisor 125 and the new remainder 79,and apply the division lemma to get
125 = 79 x 1 + 46
We consider the new divisor 79 and the new remainder 46,and apply the division lemma to get
79 = 46 x 1 + 33
We consider the new divisor 46 and the new remainder 33,and apply the division lemma to get
46 = 33 x 1 + 13
We consider the new divisor 33 and the new remainder 13,and apply the division lemma to get
33 = 13 x 2 + 7
We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get
13 = 7 x 1 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 329 and 862 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(33,13) = HCF(46,33) = HCF(79,46) = HCF(125,79) = HCF(204,125) = HCF(329,204) = HCF(862,329) .
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 329, 862?
Answer: HCF of 329, 862 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 329, 862 using Euclid's Algorithm?
Answer: For arbitrary numbers 329, 862 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.