Highest Common Factor of 1417, 843 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 1417, 843 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1417, 843 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 1417, 843 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 1417, 843 is 1.
HCF(1417, 843) = 1
HCF of 1417, 843 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1417, 843 is 1.
Highest Common Factor of 1417,843 is 1
Step 1: Since 1417 > 843, we apply the division lemma to 1417 and 843, to get
1417 = 843 x 1 + 574
Step 2: Since the reminder 843 ≠ 0, we apply division lemma to 574 and 843, to get
843 = 574 x 1 + 269
Step 3: We consider the new divisor 574 and the new remainder 269, and apply the division lemma to get
574 = 269 x 2 + 36
We consider the new divisor 269 and the new remainder 36,and apply the division lemma to get
269 = 36 x 7 + 17
We consider the new divisor 36 and the new remainder 17,and apply the division lemma to get
36 = 17 x 2 + 2
We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get
17 = 2 x 8 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1417 and 843 is 1
Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(36,17) = HCF(269,36) = HCF(574,269) = HCF(843,574) = HCF(1417,843) .
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Frequently Asked Questions on HCF of 1417, 843 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 1417, 843?
Answer: HCF of 1417, 843 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1417, 843 using Euclid's Algorithm?
Answer: For arbitrary numbers 1417, 843 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.