Highest Common Factor of 347, 12029 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 347, 12029 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 347, 12029 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 347, 12029 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 347, 12029 is 1.
HCF(347, 12029) = 1
HCF of 347, 12029 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 347, 12029 is 1.
Highest Common Factor of 347,12029 is 1
Step 1: Since 12029 > 347, we apply the division lemma to 12029 and 347, to get
12029 = 347 x 34 + 231
Step 2: Since the reminder 347 ≠ 0, we apply division lemma to 231 and 347, to get
347 = 231 x 1 + 116
Step 3: We consider the new divisor 231 and the new remainder 116, and apply the division lemma to get
231 = 116 x 1 + 115
We consider the new divisor 116 and the new remainder 115,and apply the division lemma to get
116 = 115 x 1 + 1
We consider the new divisor 115 and the new remainder 1,and apply the division lemma to get
115 = 1 x 115 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 347 and 12029 is 1
Notice that 1 = HCF(115,1) = HCF(116,115) = HCF(231,116) = HCF(347,231) = HCF(12029,347) .
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Frequently Asked Questions on HCF of 347, 12029 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 347, 12029?
Answer: HCF of 347, 12029 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 347, 12029 using Euclid's Algorithm?
Answer: For arbitrary numbers 347, 12029 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.