Highest Common Factor of 425, 161 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 425, 161 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 425, 161 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 425, 161 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 425, 161 is 1.
HCF(425, 161) = 1
HCF of 425, 161 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 425, 161 is 1.
Highest Common Factor of 425,161 is 1
Step 1: Since 425 > 161, we apply the division lemma to 425 and 161, to get
425 = 161 x 2 + 103
Step 2: Since the reminder 161 ≠ 0, we apply division lemma to 103 and 161, to get
161 = 103 x 1 + 58
Step 3: We consider the new divisor 103 and the new remainder 58, and apply the division lemma to get
103 = 58 x 1 + 45
We consider the new divisor 58 and the new remainder 45,and apply the division lemma to get
58 = 45 x 1 + 13
We consider the new divisor 45 and the new remainder 13,and apply the division lemma to get
45 = 13 x 3 + 6
We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get
13 = 6 x 2 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 425 and 161 is 1
Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(45,13) = HCF(58,45) = HCF(103,58) = HCF(161,103) = HCF(425,161) .
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Frequently Asked Questions on HCF of 425, 161 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 425, 161?
Answer: HCF of 425, 161 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 425, 161 using Euclid's Algorithm?
Answer: For arbitrary numbers 425, 161 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.