Highest Common Factor of 551, 4054 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 551, 4054 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 551, 4054 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 551, 4054 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 551, 4054 is 1.
HCF(551, 4054) = 1
HCF of 551, 4054 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 551, 4054 is 1.
Highest Common Factor of 551,4054 is 1
Step 1: Since 4054 > 551, we apply the division lemma to 4054 and 551, to get
4054 = 551 x 7 + 197
Step 2: Since the reminder 551 ≠ 0, we apply division lemma to 197 and 551, to get
551 = 197 x 2 + 157
Step 3: We consider the new divisor 197 and the new remainder 157, and apply the division lemma to get
197 = 157 x 1 + 40
We consider the new divisor 157 and the new remainder 40,and apply the division lemma to get
157 = 40 x 3 + 37
We consider the new divisor 40 and the new remainder 37,and apply the division lemma to get
40 = 37 x 1 + 3
We consider the new divisor 37 and the new remainder 3,and apply the division lemma to get
37 = 3 x 12 + 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 551 and 4054 is 1
Notice that 1 = HCF(3,1) = HCF(37,3) = HCF(40,37) = HCF(157,40) = HCF(197,157) = HCF(551,197) = HCF(4054,551) .
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Frequently Asked Questions on HCF of 551, 4054 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 551, 4054?
Answer: HCF of 551, 4054 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 551, 4054 using Euclid's Algorithm?
Answer: For arbitrary numbers 551, 4054 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.