Highest Common Factor of 5812, 4165, 67471 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 5812, 4165, 67471 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5812, 4165, 67471 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 5812, 4165, 67471 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 5812, 4165, 67471 is 1.
HCF(5812, 4165, 67471) = 1
HCF of 5812, 4165, 67471 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5812, 4165, 67471 is 1.
Highest Common Factor of 5812,4165,67471 is 1
Step 1: Since 5812 > 4165, we apply the division lemma to 5812 and 4165, to get
5812 = 4165 x 1 + 1647
Step 2: Since the reminder 4165 ≠ 0, we apply division lemma to 1647 and 4165, to get
4165 = 1647 x 2 + 871
Step 3: We consider the new divisor 1647 and the new remainder 871, and apply the division lemma to get
1647 = 871 x 1 + 776
We consider the new divisor 871 and the new remainder 776,and apply the division lemma to get
871 = 776 x 1 + 95
We consider the new divisor 776 and the new remainder 95,and apply the division lemma to get
776 = 95 x 8 + 16
We consider the new divisor 95 and the new remainder 16,and apply the division lemma to get
95 = 16 x 5 + 15
We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get
16 = 15 x 1 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5812 and 4165 is 1
Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(95,16) = HCF(776,95) = HCF(871,776) = HCF(1647,871) = HCF(4165,1647) = HCF(5812,4165) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 67471 > 1, we apply the division lemma to 67471 and 1, to get
67471 = 1 x 67471 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 67471 is 1
Notice that 1 = HCF(67471,1) .
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Frequently Asked Questions on HCF of 5812, 4165, 67471 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 5812, 4165, 67471?
Answer: HCF of 5812, 4165, 67471 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5812, 4165, 67471 using Euclid's Algorithm?
Answer: For arbitrary numbers 5812, 4165, 67471 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.