Highest Common Factor of 551, 814 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, 814 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 551, 814 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, 814 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, 814 is 1.
HCF(551, 814) = 1
HCF of 551, 814 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, 814 is 1.
Highest Common Factor of 551,814 is 1
Step 1: Since 814 > 551, we apply the division lemma to 814 and 551, to get
814 = 551 x 1 + 263
Step 2: Since the reminder 551 ≠ 0, we apply division lemma to 263 and 551, to get
551 = 263 x 2 + 25
Step 3: We consider the new divisor 263 and the new remainder 25, and apply the division lemma to get
263 = 25 x 10 + 13
We consider the new divisor 25 and the new remainder 13,and apply the division lemma to get
25 = 13 x 1 + 12
We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get
13 = 12 x 1 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 551 and 814 is 1
Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(25,13) = HCF(263,25) = HCF(551,263) = HCF(814,551) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 551, 814 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, 814?
Answer: HCF of 551, 814 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 551, 814 using Euclid's Algorithm?
Answer: For arbitrary numbers 551, 814 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.