Highest Common Factor of 2627, 5099 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 2627, 5099 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2627, 5099 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 2627, 5099 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 2627, 5099 is 1.
HCF(2627, 5099) = 1
HCF of 2627, 5099 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2627, 5099 is 1.
Highest Common Factor of 2627,5099 is 1
Step 1: Since 5099 > 2627, we apply the division lemma to 5099 and 2627, to get
5099 = 2627 x 1 + 2472
Step 2: Since the reminder 2627 ≠ 0, we apply division lemma to 2472 and 2627, to get
2627 = 2472 x 1 + 155
Step 3: We consider the new divisor 2472 and the new remainder 155, and apply the division lemma to get
2472 = 155 x 15 + 147
We consider the new divisor 155 and the new remainder 147,and apply the division lemma to get
155 = 147 x 1 + 8
We consider the new divisor 147 and the new remainder 8,and apply the division lemma to get
147 = 8 x 18 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 2627 and 5099 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(147,8) = HCF(155,147) = HCF(2472,155) = HCF(2627,2472) = HCF(5099,2627) .
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Frequently Asked Questions on HCF of 2627, 5099 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 2627, 5099?
Answer: HCF of 2627, 5099 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2627, 5099 using Euclid's Algorithm?
Answer: For arbitrary numbers 2627, 5099 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.