Highest Common Factor of 781, 323 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 781, 323 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 781, 323 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 781, 323 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 781, 323 is 1.
HCF(781, 323) = 1
HCF of 781, 323 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 781, 323 is 1.
Highest Common Factor of 781,323 is 1
Step 1: Since 781 > 323, we apply the division lemma to 781 and 323, to get
781 = 323 x 2 + 135
Step 2: Since the reminder 323 ≠ 0, we apply division lemma to 135 and 323, to get
323 = 135 x 2 + 53
Step 3: We consider the new divisor 135 and the new remainder 53, and apply the division lemma to get
135 = 53 x 2 + 29
We consider the new divisor 53 and the new remainder 29,and apply the division lemma to get
53 = 29 x 1 + 24
We consider the new divisor 29 and the new remainder 24,and apply the division lemma to get
29 = 24 x 1 + 5
We consider the new divisor 24 and the new remainder 5,and apply the division lemma to get
24 = 5 x 4 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 781 and 323 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(24,5) = HCF(29,24) = HCF(53,29) = HCF(135,53) = HCF(323,135) = HCF(781,323) .
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Frequently Asked Questions on HCF of 781, 323 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 781, 323?
Answer: HCF of 781, 323 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 781, 323 using Euclid's Algorithm?
Answer: For arbitrary numbers 781, 323 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
