Highest Common Factor of 1843, 4210 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 1843, 4210 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1843, 4210 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 1843, 4210 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 1843, 4210 is 1.
HCF(1843, 4210) = 1
HCF of 1843, 4210 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1843, 4210 is 1.
Highest Common Factor of 1843,4210 is 1
Step 1: Since 4210 > 1843, we apply the division lemma to 4210 and 1843, to get
4210 = 1843 x 2 + 524
Step 2: Since the reminder 1843 ≠ 0, we apply division lemma to 524 and 1843, to get
1843 = 524 x 3 + 271
Step 3: We consider the new divisor 524 and the new remainder 271, and apply the division lemma to get
524 = 271 x 1 + 253
We consider the new divisor 271 and the new remainder 253,and apply the division lemma to get
271 = 253 x 1 + 18
We consider the new divisor 253 and the new remainder 18,and apply the division lemma to get
253 = 18 x 14 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1843 and 4210 is 1
Notice that 1 = HCF(18,1) = HCF(253,18) = HCF(271,253) = HCF(524,271) = HCF(1843,524) = HCF(4210,1843) .
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Frequently Asked Questions on HCF of 1843, 4210 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 1843, 4210?
Answer: HCF of 1843, 4210 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1843, 4210 using Euclid's Algorithm?
Answer: For arbitrary numbers 1843, 4210 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.