Highest Common Factor of 1781, 2321 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 1781, 2321 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1781, 2321 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 1781, 2321 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 1781, 2321 is 1.
HCF(1781, 2321) = 1
HCF of 1781, 2321 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1781, 2321 is 1.
Highest Common Factor of 1781,2321 is 1
Step 1: Since 2321 > 1781, we apply the division lemma to 2321 and 1781, to get
2321 = 1781 x 1 + 540
Step 2: Since the reminder 1781 ≠ 0, we apply division lemma to 540 and 1781, to get
1781 = 540 x 3 + 161
Step 3: We consider the new divisor 540 and the new remainder 161, and apply the division lemma to get
540 = 161 x 3 + 57
We consider the new divisor 161 and the new remainder 57,and apply the division lemma to get
161 = 57 x 2 + 47
We consider the new divisor 57 and the new remainder 47,and apply the division lemma to get
57 = 47 x 1 + 10
We consider the new divisor 47 and the new remainder 10,and apply the division lemma to get
47 = 10 x 4 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1781 and 2321 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(47,10) = HCF(57,47) = HCF(161,57) = HCF(540,161) = HCF(1781,540) = HCF(2321,1781) .
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Frequently Asked Questions on HCF of 1781, 2321 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 1781, 2321?
Answer: HCF of 1781, 2321 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1781, 2321 using Euclid's Algorithm?
Answer: For arbitrary numbers 1781, 2321 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
