Highest Common Factor of 6341, 7334 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 6341, 7334 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6341, 7334 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 6341, 7334 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 6341, 7334 is 1.
HCF(6341, 7334) = 1
HCF of 6341, 7334 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6341, 7334 is 1.
Highest Common Factor of 6341,7334 is 1
Step 1: Since 7334 > 6341, we apply the division lemma to 7334 and 6341, to get
7334 = 6341 x 1 + 993
Step 2: Since the reminder 6341 ≠ 0, we apply division lemma to 993 and 6341, to get
6341 = 993 x 6 + 383
Step 3: We consider the new divisor 993 and the new remainder 383, and apply the division lemma to get
993 = 383 x 2 + 227
We consider the new divisor 383 and the new remainder 227,and apply the division lemma to get
383 = 227 x 1 + 156
We consider the new divisor 227 and the new remainder 156,and apply the division lemma to get
227 = 156 x 1 + 71
We consider the new divisor 156 and the new remainder 71,and apply the division lemma to get
156 = 71 x 2 + 14
We consider the new divisor 71 and the new remainder 14,and apply the division lemma to get
71 = 14 x 5 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6341 and 7334 is 1
Notice that 1 = HCF(14,1) = HCF(71,14) = HCF(156,71) = HCF(227,156) = HCF(383,227) = HCF(993,383) = HCF(6341,993) = HCF(7334,6341) .
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Frequently Asked Questions on HCF of 6341, 7334 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 6341, 7334?
Answer: HCF of 6341, 7334 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6341, 7334 using Euclid's Algorithm?
Answer: For arbitrary numbers 6341, 7334 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.