Highest Common Factor of 2551, 1551 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 2551, 1551 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2551, 1551 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 2551, 1551 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 2551, 1551 is 1.
HCF(2551, 1551) = 1
HCF of 2551, 1551 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2551, 1551 is 1.
Highest Common Factor of 2551,1551 is 1
Step 1: Since 2551 > 1551, we apply the division lemma to 2551 and 1551, to get
2551 = 1551 x 1 + 1000
Step 2: Since the reminder 1551 ≠ 0, we apply division lemma to 1000 and 1551, to get
1551 = 1000 x 1 + 551
Step 3: We consider the new divisor 1000 and the new remainder 551, and apply the division lemma to get
1000 = 551 x 1 + 449
We consider the new divisor 551 and the new remainder 449,and apply the division lemma to get
551 = 449 x 1 + 102
We consider the new divisor 449 and the new remainder 102,and apply the division lemma to get
449 = 102 x 4 + 41
We consider the new divisor 102 and the new remainder 41,and apply the division lemma to get
102 = 41 x 2 + 20
We consider the new divisor 41 and the new remainder 20,and apply the division lemma to get
41 = 20 x 2 + 1
We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2551 and 1551 is 1
Notice that 1 = HCF(20,1) = HCF(41,20) = HCF(102,41) = HCF(449,102) = HCF(551,449) = HCF(1000,551) = HCF(1551,1000) = HCF(2551,1551) .
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Frequently Asked Questions on HCF of 2551, 1551 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 2551, 1551?
Answer: HCF of 2551, 1551 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2551, 1551 using Euclid's Algorithm?
Answer: For arbitrary numbers 2551, 1551 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.