Highest Common Factor of 341, 5565 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, 5565 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 341, 5565 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 341, 5565 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, 5565 is 1.
HCF(341, 5565) = 1
HCF of 341, 5565 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, 5565 is 1.
Highest Common Factor of 341,5565 is 1
Step 1: Since 5565 > 341, we apply the division lemma to 5565 and 341, to get
5565 = 341 x 16 + 109
Step 2: Since the reminder 341 ≠ 0, we apply division lemma to 109 and 341, to get
341 = 109 x 3 + 14
Step 3: We consider the new divisor 109 and the new remainder 14, and apply the division lemma to get
109 = 14 x 7 + 11
We consider the new divisor 14 and the new remainder 11,and apply the division lemma to get
14 = 11 x 1 + 3
We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get
11 = 3 x 3 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 341 and 5565 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(14,11) = HCF(109,14) = HCF(341,109) = HCF(5565,341) .
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Frequently Asked Questions on HCF of 341, 5565 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, 5565?
Answer: HCF of 341, 5565 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 341, 5565 using Euclid's Algorithm?
Answer: For arbitrary numbers 341, 5565 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.