Highest Common Factor of 626, 405, 503 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 626, 405, 503 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 626, 405, 503 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 626, 405, 503 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 626, 405, 503 is 1.
HCF(626, 405, 503) = 1
HCF of 626, 405, 503 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 626, 405, 503 is 1.
Highest Common Factor of 626,405,503 is 1
Step 1: Since 626 > 405, we apply the division lemma to 626 and 405, to get
626 = 405 x 1 + 221
Step 2: Since the reminder 405 ≠ 0, we apply division lemma to 221 and 405, to get
405 = 221 x 1 + 184
Step 3: We consider the new divisor 221 and the new remainder 184, and apply the division lemma to get
221 = 184 x 1 + 37
We consider the new divisor 184 and the new remainder 37,and apply the division lemma to get
184 = 37 x 4 + 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 626 and 405 is 1
Notice that 1 = HCF(36,1) = HCF(37,36) = HCF(184,37) = HCF(221,184) = HCF(405,221) = HCF(626,405) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 503 > 1, we apply the division lemma to 503 and 1, to get
503 = 1 x 503 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 503 is 1
Notice that 1 = HCF(503,1) .
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Frequently Asked Questions on HCF of 626, 405, 503 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 626, 405, 503?
Answer: HCF of 626, 405, 503 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 626, 405, 503 using Euclid's Algorithm?
Answer: For arbitrary numbers 626, 405, 503 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.