Highest Common Factor of 4065, 3167 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 4065, 3167 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4065, 3167 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 4065, 3167 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 4065, 3167 is 1.
HCF(4065, 3167) = 1
HCF of 4065, 3167 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4065, 3167 is 1.
Highest Common Factor of 4065,3167 is 1
Step 1: Since 4065 > 3167, we apply the division lemma to 4065 and 3167, to get
4065 = 3167 x 1 + 898
Step 2: Since the reminder 3167 ≠ 0, we apply division lemma to 898 and 3167, to get
3167 = 898 x 3 + 473
Step 3: We consider the new divisor 898 and the new remainder 473, and apply the division lemma to get
898 = 473 x 1 + 425
We consider the new divisor 473 and the new remainder 425,and apply the division lemma to get
473 = 425 x 1 + 48
We consider the new divisor 425 and the new remainder 48,and apply the division lemma to get
425 = 48 x 8 + 41
We consider the new divisor 48 and the new remainder 41,and apply the division lemma to get
48 = 41 x 1 + 7
We consider the new divisor 41 and the new remainder 7,and apply the division lemma to get
41 = 7 x 5 + 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 4065 and 3167 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(41,7) = HCF(48,41) = HCF(425,48) = HCF(473,425) = HCF(898,473) = HCF(3167,898) = HCF(4065,3167) .
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Frequently Asked Questions on HCF of 4065, 3167 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 4065, 3167?
Answer: HCF of 4065, 3167 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4065, 3167 using Euclid's Algorithm?
Answer: For arbitrary numbers 4065, 3167 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.