Highest Common Factor of 4227, 4871 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 4227, 4871 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4227, 4871 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 4227, 4871 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 4227, 4871 is 1.
HCF(4227, 4871) = 1
HCF of 4227, 4871 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4227, 4871 is 1.
Highest Common Factor of 4227,4871 is 1
Step 1: Since 4871 > 4227, we apply the division lemma to 4871 and 4227, to get
4871 = 4227 x 1 + 644
Step 2: Since the reminder 4227 ≠ 0, we apply division lemma to 644 and 4227, to get
4227 = 644 x 6 + 363
Step 3: We consider the new divisor 644 and the new remainder 363, and apply the division lemma to get
644 = 363 x 1 + 281
We consider the new divisor 363 and the new remainder 281,and apply the division lemma to get
363 = 281 x 1 + 82
We consider the new divisor 281 and the new remainder 82,and apply the division lemma to get
281 = 82 x 3 + 35
We consider the new divisor 82 and the new remainder 35,and apply the division lemma to get
82 = 35 x 2 + 12
We consider the new divisor 35 and the new remainder 12,and apply the division lemma to get
35 = 12 x 2 + 11
We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get
12 = 11 x 1 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4227 and 4871 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(35,12) = HCF(82,35) = HCF(281,82) = HCF(363,281) = HCF(644,363) = HCF(4227,644) = HCF(4871,4227) .
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Frequently Asked Questions on HCF of 4227, 4871 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 4227, 4871?
Answer: HCF of 4227, 4871 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4227, 4871 using Euclid's Algorithm?
Answer: For arbitrary numbers 4227, 4871 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.