Highest Common Factor of 447, 34129 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 447, 34129 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 447, 34129 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 447, 34129 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 447, 34129 is 1.
HCF(447, 34129) = 1
HCF of 447, 34129 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 447, 34129 is 1.
Highest Common Factor of 447,34129 is 1
Step 1: Since 34129 > 447, we apply the division lemma to 34129 and 447, to get
34129 = 447 x 76 + 157
Step 2: Since the reminder 447 ≠ 0, we apply division lemma to 157 and 447, to get
447 = 157 x 2 + 133
Step 3: We consider the new divisor 157 and the new remainder 133, and apply the division lemma to get
157 = 133 x 1 + 24
We consider the new divisor 133 and the new remainder 24,and apply the division lemma to get
133 = 24 x 5 + 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 447 and 34129 is 1
Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(13,11) = HCF(24,13) = HCF(133,24) = HCF(157,133) = HCF(447,157) = HCF(34129,447) .
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Frequently Asked Questions on HCF of 447, 34129 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 447, 34129?
Answer: HCF of 447, 34129 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 447, 34129 using Euclid's Algorithm?
Answer: For arbitrary numbers 447, 34129 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.