Highest Common Factor of 413, 780 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, 780 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 413, 780 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, 780 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, 780 is 1.
HCF(413, 780) = 1
HCF of 413, 780 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, 780 is 1.
Highest Common Factor of 413,780 is 1
Step 1: Since 780 > 413, we apply the division lemma to 780 and 413, to get
780 = 413 x 1 + 367
Step 2: Since the reminder 413 ≠ 0, we apply division lemma to 367 and 413, to get
413 = 367 x 1 + 46
Step 3: We consider the new divisor 367 and the new remainder 46, and apply the division lemma to get
367 = 46 x 7 + 45
We consider the new divisor 46 and the new remainder 45,and apply the division lemma to get
46 = 45 x 1 + 1
We consider the new divisor 45 and the new remainder 1,and apply the division lemma to get
45 = 1 x 45 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 413 and 780 is 1
Notice that 1 = HCF(45,1) = HCF(46,45) = HCF(367,46) = HCF(413,367) = HCF(780,413) .
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Frequently Asked Questions on HCF of 413, 780 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, 780?
Answer: HCF of 413, 780 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 413, 780 using Euclid's Algorithm?
Answer: For arbitrary numbers 413, 780 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.