Highest Common Factor of 3817, 4152 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 3817, 4152 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3817, 4152 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 3817, 4152 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 3817, 4152 is 1.
HCF(3817, 4152) = 1
HCF of 3817, 4152 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3817, 4152 is 1.
Highest Common Factor of 3817,4152 is 1
Step 1: Since 4152 > 3817, we apply the division lemma to 4152 and 3817, to get
4152 = 3817 x 1 + 335
Step 2: Since the reminder 3817 ≠ 0, we apply division lemma to 335 and 3817, to get
3817 = 335 x 11 + 132
Step 3: We consider the new divisor 335 and the new remainder 132, and apply the division lemma to get
335 = 132 x 2 + 71
We consider the new divisor 132 and the new remainder 71,and apply the division lemma to get
132 = 71 x 1 + 61
We consider the new divisor 71 and the new remainder 61,and apply the division lemma to get
71 = 61 x 1 + 10
We consider the new divisor 61 and the new remainder 10,and apply the division lemma to get
61 = 10 x 6 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3817 and 4152 is 1
Notice that 1 = HCF(10,1) = HCF(61,10) = HCF(71,61) = HCF(132,71) = HCF(335,132) = HCF(3817,335) = HCF(4152,3817) .
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Frequently Asked Questions on HCF of 3817, 4152 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 3817, 4152?
Answer: HCF of 3817, 4152 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3817, 4152 using Euclid's Algorithm?
Answer: For arbitrary numbers 3817, 4152 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.