Highest Common Factor of 329, 7106 using Euclid's algorithm
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, 7106 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 329, 7106 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, 7106 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, 7106 is 1.
HCF(329, 7106) = 1
HCF of 329, 7106 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 329, 7106 is 1.
Highest Common Factor of 329,7106 is 1
Step 1: Since 7106 > 329, we apply the division lemma to 7106 and 329, to get
7106 = 329 x 21 + 197
Step 2: Since the reminder 329 ≠ 0, we apply division lemma to 197 and 329, to get
329 = 197 x 1 + 132
Step 3: We consider the new divisor 197 and the new remainder 132, and apply the division lemma to get
197 = 132 x 1 + 65
We consider the new divisor 132 and the new remainder 65,and apply the division lemma to get
132 = 65 x 2 + 2
We consider the new divisor 65 and the new remainder 2,and apply the division lemma to get
65 = 2 x 32 + 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 329 and 7106 is 1
Notice that 1 = HCF(2,1) = HCF(65,2) = HCF(132,65) = HCF(197,132) = HCF(329,197) = HCF(7106,329) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 329, 7106 using Euclid's Algorithm
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, 7106?
Answer: HCF of 329, 7106 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 329, 7106 using Euclid's Algorithm?
Answer: For arbitrary numbers 329, 7106 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.