Highest Common Factor of 5495, 2229 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 5495, 2229 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5495, 2229 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 5495, 2229 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 5495, 2229 is 1.
HCF(5495, 2229) = 1
HCF of 5495, 2229 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5495, 2229 is 1.
Highest Common Factor of 5495,2229 is 1
Step 1: Since 5495 > 2229, we apply the division lemma to 5495 and 2229, to get
5495 = 2229 x 2 + 1037
Step 2: Since the reminder 2229 ≠ 0, we apply division lemma to 1037 and 2229, to get
2229 = 1037 x 2 + 155
Step 3: We consider the new divisor 1037 and the new remainder 155, and apply the division lemma to get
1037 = 155 x 6 + 107
We consider the new divisor 155 and the new remainder 107,and apply the division lemma to get
155 = 107 x 1 + 48
We consider the new divisor 107 and the new remainder 48,and apply the division lemma to get
107 = 48 x 2 + 11
We consider the new divisor 48 and the new remainder 11,and apply the division lemma to get
48 = 11 x 4 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5495 and 2229 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(48,11) = HCF(107,48) = HCF(155,107) = HCF(1037,155) = HCF(2229,1037) = HCF(5495,2229) .
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Frequently Asked Questions on HCF of 5495, 2229 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 5495, 2229?
Answer: HCF of 5495, 2229 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5495, 2229 using Euclid's Algorithm?
Answer: For arbitrary numbers 5495, 2229 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.