Highest Common Factor of 1813, 1410 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 1813, 1410 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1813, 1410 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 1813, 1410 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 1813, 1410 is 1.
HCF(1813, 1410) = 1
HCF of 1813, 1410 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1813, 1410 is 1.
Highest Common Factor of 1813,1410 is 1
Step 1: Since 1813 > 1410, we apply the division lemma to 1813 and 1410, to get
1813 = 1410 x 1 + 403
Step 2: Since the reminder 1410 ≠ 0, we apply division lemma to 403 and 1410, to get
1410 = 403 x 3 + 201
Step 3: We consider the new divisor 403 and the new remainder 201, and apply the division lemma to get
403 = 201 x 2 + 1
We consider the new divisor 201 and the new remainder 1, and apply the division lemma to get
201 = 1 x 201 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1813 and 1410 is 1
Notice that 1 = HCF(201,1) = HCF(403,201) = HCF(1410,403) = HCF(1813,1410) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1813, 1410 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 1813, 1410?
Answer: HCF of 1813, 1410 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1813, 1410 using Euclid's Algorithm?
Answer: For arbitrary numbers 1813, 1410 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.