Highest Common Factor of 562, 41341 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 562, 41341 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 562, 41341 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 562, 41341 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 562, 41341 is 1.
HCF(562, 41341) = 1
HCF of 562, 41341 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 562, 41341 is 1.
Highest Common Factor of 562,41341 is 1
Step 1: Since 41341 > 562, we apply the division lemma to 41341 and 562, to get
41341 = 562 x 73 + 315
Step 2: Since the reminder 562 ≠ 0, we apply division lemma to 315 and 562, to get
562 = 315 x 1 + 247
Step 3: We consider the new divisor 315 and the new remainder 247, and apply the division lemma to get
315 = 247 x 1 + 68
We consider the new divisor 247 and the new remainder 68,and apply the division lemma to get
247 = 68 x 3 + 43
We consider the new divisor 68 and the new remainder 43,and apply the division lemma to get
68 = 43 x 1 + 25
We consider the new divisor 43 and the new remainder 25,and apply the division lemma to get
43 = 25 x 1 + 18
We consider the new divisor 25 and the new remainder 18,and apply the division lemma to get
25 = 18 x 1 + 7
We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get
18 = 7 x 2 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 562 and 41341 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(25,18) = HCF(43,25) = HCF(68,43) = HCF(247,68) = HCF(315,247) = HCF(562,315) = HCF(41341,562) .
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Frequently Asked Questions on HCF of 562, 41341 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 562, 41341?
Answer: HCF of 562, 41341 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 562, 41341 using Euclid's Algorithm?
Answer: For arbitrary numbers 562, 41341 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
