Highest Common Factor of 476, 293, 551 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 476, 293, 551 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 476, 293, 551 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 476, 293, 551 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 476, 293, 551 is 1.
HCF(476, 293, 551) = 1
HCF of 476, 293, 551 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 476, 293, 551 is 1.
Highest Common Factor of 476,293,551 is 1
Step 1: Since 476 > 293, we apply the division lemma to 476 and 293, to get
476 = 293 x 1 + 183
Step 2: Since the reminder 293 ≠ 0, we apply division lemma to 183 and 293, to get
293 = 183 x 1 + 110
Step 3: We consider the new divisor 183 and the new remainder 110, and apply the division lemma to get
183 = 110 x 1 + 73
We consider the new divisor 110 and the new remainder 73,and apply the division lemma to get
110 = 73 x 1 + 37
We consider the new divisor 73 and the new remainder 37,and apply the division lemma to get
73 = 37 x 1 + 36
We consider the new divisor 37 and the new remainder 36,and apply the division lemma to get
37 = 36 x 1 + 1
We consider the new divisor 36 and the new remainder 1,and apply the division lemma to get
36 = 1 x 36 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 476 and 293 is 1
Notice that 1 = HCF(36,1) = HCF(37,36) = HCF(73,37) = HCF(110,73) = HCF(183,110) = HCF(293,183) = HCF(476,293) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 551 > 1, we apply the division lemma to 551 and 1, to get
551 = 1 x 551 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 551 is 1
Notice that 1 = HCF(551,1) .
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Frequently Asked Questions on HCF of 476, 293, 551 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 476, 293, 551?
Answer: HCF of 476, 293, 551 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 476, 293, 551 using Euclid's Algorithm?
Answer: For arbitrary numbers 476, 293, 551 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.