Highest Common Factor of 2403, 1321 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 2403, 1321 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2403, 1321 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 2403, 1321 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 2403, 1321 is 1.
HCF(2403, 1321) = 1
HCF of 2403, 1321 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2403, 1321 is 1.
Highest Common Factor of 2403,1321 is 1
Step 1: Since 2403 > 1321, we apply the division lemma to 2403 and 1321, to get
2403 = 1321 x 1 + 1082
Step 2: Since the reminder 1321 ≠ 0, we apply division lemma to 1082 and 1321, to get
1321 = 1082 x 1 + 239
Step 3: We consider the new divisor 1082 and the new remainder 239, and apply the division lemma to get
1082 = 239 x 4 + 126
We consider the new divisor 239 and the new remainder 126,and apply the division lemma to get
239 = 126 x 1 + 113
We consider the new divisor 126 and the new remainder 113,and apply the division lemma to get
126 = 113 x 1 + 13
We consider the new divisor 113 and the new remainder 13,and apply the division lemma to get
113 = 13 x 8 + 9
We consider the new divisor 13 and the new remainder 9,and apply the division lemma to get
13 = 9 x 1 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 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 2403 and 1321 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(113,13) = HCF(126,113) = HCF(239,126) = HCF(1082,239) = HCF(1321,1082) = HCF(2403,1321) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 2403, 1321 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 2403, 1321?
Answer: HCF of 2403, 1321 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2403, 1321 using Euclid's Algorithm?
Answer: For arbitrary numbers 2403, 1321 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.