Highest Common Factor of 2271, 4355 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 2271, 4355 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2271, 4355 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 2271, 4355 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 2271, 4355 is 1.
HCF(2271, 4355) = 1
HCF of 2271, 4355 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2271, 4355 is 1.
Highest Common Factor of 2271,4355 is 1
Step 1: Since 4355 > 2271, we apply the division lemma to 4355 and 2271, to get
4355 = 2271 x 1 + 2084
Step 2: Since the reminder 2271 ≠ 0, we apply division lemma to 2084 and 2271, to get
2271 = 2084 x 1 + 187
Step 3: We consider the new divisor 2084 and the new remainder 187, and apply the division lemma to get
2084 = 187 x 11 + 27
We consider the new divisor 187 and the new remainder 27,and apply the division lemma to get
187 = 27 x 6 + 25
We consider the new divisor 27 and the new remainder 25,and apply the division lemma to get
27 = 25 x 1 + 2
We consider the new divisor 25 and the new remainder 2,and apply the division lemma to get
25 = 2 x 12 + 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 2271 and 4355 is 1
Notice that 1 = HCF(2,1) = HCF(25,2) = HCF(27,25) = HCF(187,27) = HCF(2084,187) = HCF(2271,2084) = HCF(4355,2271) .
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Frequently Asked Questions on HCF of 2271, 4355 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 2271, 4355?
Answer: HCF of 2271, 4355 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2271, 4355 using Euclid's Algorithm?
Answer: For arbitrary numbers 2271, 4355 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
