Highest Common Factor of 883, 343 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 883, 343 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 883, 343 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 883, 343 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 883, 343 is 1.
HCF(883, 343) = 1
HCF of 883, 343 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 883, 343 is 1.
Highest Common Factor of 883,343 is 1
Step 1: Since 883 > 343, we apply the division lemma to 883 and 343, to get
883 = 343 x 2 + 197
Step 2: Since the reminder 343 ≠ 0, we apply division lemma to 197 and 343, to get
343 = 197 x 1 + 146
Step 3: We consider the new divisor 197 and the new remainder 146, and apply the division lemma to get
197 = 146 x 1 + 51
We consider the new divisor 146 and the new remainder 51,and apply the division lemma to get
146 = 51 x 2 + 44
We consider the new divisor 51 and the new remainder 44,and apply the division lemma to get
51 = 44 x 1 + 7
We consider the new divisor 44 and the new remainder 7,and apply the division lemma to get
44 = 7 x 6 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 883 and 343 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(44,7) = HCF(51,44) = HCF(146,51) = HCF(197,146) = HCF(343,197) = HCF(883,343) .
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Frequently Asked Questions on HCF of 883, 343 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 883, 343?
Answer: HCF of 883, 343 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 883, 343 using Euclid's Algorithm?
Answer: For arbitrary numbers 883, 343 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
