Highest Common Factor of 341, 403 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 341, 403 i.e. 31 the largest integer that leaves a remainder zero for all numbers.
HCF of 341, 403 is 31 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 341, 403 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 341, 403 is 31.
HCF(341, 403) = 31
HCF of 341, 403 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 341, 403 is 31.
Highest Common Factor of 341,403 is 31
Step 1: Since 403 > 341, we apply the division lemma to 403 and 341, to get
403 = 341 x 1 + 62
Step 2: Since the reminder 341 ≠ 0, we apply division lemma to 62 and 341, to get
341 = 62 x 5 + 31
Step 3: We consider the new divisor 62 and the new remainder 31, and apply the division lemma to get
62 = 31 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 31, the HCF of 341 and 403 is 31
Notice that 31 = HCF(62,31) = HCF(341,62) = HCF(403,341) .
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Frequently Asked Questions on HCF of 341, 403 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 341, 403?
Answer: HCF of 341, 403 is 31 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 341, 403 using Euclid's Algorithm?
Answer: For arbitrary numbers 341, 403 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.