Highest Common Factor of 349, 616 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 349, 616 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 349, 616 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 349, 616 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 349, 616 is 1.
HCF(349, 616) = 1
HCF of 349, 616 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 349, 616 is 1.
Highest Common Factor of 349,616 is 1
Step 1: Since 616 > 349, we apply the division lemma to 616 and 349, to get
616 = 349 x 1 + 267
Step 2: Since the reminder 349 ≠ 0, we apply division lemma to 267 and 349, to get
349 = 267 x 1 + 82
Step 3: We consider the new divisor 267 and the new remainder 82, and apply the division lemma to get
267 = 82 x 3 + 21
We consider the new divisor 82 and the new remainder 21,and apply the division lemma to get
82 = 21 x 3 + 19
We consider the new divisor 21 and the new remainder 19,and apply the division lemma to get
21 = 19 x 1 + 2
We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get
19 = 2 x 9 + 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 349 and 616 is 1
Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(21,19) = HCF(82,21) = HCF(267,82) = HCF(349,267) = HCF(616,349) .
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Frequently Asked Questions on HCF of 349, 616 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 349, 616?
Answer: HCF of 349, 616 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 349, 616 using Euclid's Algorithm?
Answer: For arbitrary numbers 349, 616 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.