Highest Common Factor of 413, 2763 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 413, 2763 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 413, 2763 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 413, 2763 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 413, 2763 is 1.
HCF(413, 2763) = 1
HCF of 413, 2763 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 413, 2763 is 1.
Highest Common Factor of 413,2763 is 1
Step 1: Since 2763 > 413, we apply the division lemma to 2763 and 413, to get
2763 = 413 x 6 + 285
Step 2: Since the reminder 413 ≠ 0, we apply division lemma to 285 and 413, to get
413 = 285 x 1 + 128
Step 3: We consider the new divisor 285 and the new remainder 128, and apply the division lemma to get
285 = 128 x 2 + 29
We consider the new divisor 128 and the new remainder 29,and apply the division lemma to get
128 = 29 x 4 + 12
We consider the new divisor 29 and the new remainder 12,and apply the division lemma to get
29 = 12 x 2 + 5
We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get
12 = 5 x 2 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 413 and 2763 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(29,12) = HCF(128,29) = HCF(285,128) = HCF(413,285) = HCF(2763,413) .
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Frequently Asked Questions on HCF of 413, 2763 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 413, 2763?
Answer: HCF of 413, 2763 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 413, 2763 using Euclid's Algorithm?
Answer: For arbitrary numbers 413, 2763 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.