Highest Common Factor of 551, 911 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, 911 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 551, 911 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, 911 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, 911 is 1.
HCF(551, 911) = 1
HCF of 551, 911 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, 911 is 1.
Highest Common Factor of 551,911 is 1
Step 1: Since 911 > 551, we apply the division lemma to 911 and 551, to get
911 = 551 x 1 + 360
Step 2: Since the reminder 551 ≠ 0, we apply division lemma to 360 and 551, to get
551 = 360 x 1 + 191
Step 3: We consider the new divisor 360 and the new remainder 191, and apply the division lemma to get
360 = 191 x 1 + 169
We consider the new divisor 191 and the new remainder 169,and apply the division lemma to get
191 = 169 x 1 + 22
We consider the new divisor 169 and the new remainder 22,and apply the division lemma to get
169 = 22 x 7 + 15
We consider the new divisor 22 and the new remainder 15,and apply the division lemma to get
22 = 15 x 1 + 7
We consider the new divisor 15 and the new remainder 7,and apply the division lemma to get
15 = 7 x 2 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 551 and 911 is 1
Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(22,15) = HCF(169,22) = HCF(191,169) = HCF(360,191) = HCF(551,360) = HCF(911,551) .
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Frequently Asked Questions on HCF of 551, 911 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, 911?
Answer: HCF of 551, 911 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 551, 911 using Euclid's Algorithm?
Answer: For arbitrary numbers 551, 911 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
