Highest Common Factor of 151, 8411 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 151, 8411 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 151, 8411 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 151, 8411 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 151, 8411 is 1.
HCF(151, 8411) = 1
HCF of 151, 8411 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 151, 8411 is 1.
Highest Common Factor of 151,8411 is 1
Step 1: Since 8411 > 151, we apply the division lemma to 8411 and 151, to get
8411 = 151 x 55 + 106
Step 2: Since the reminder 151 ≠ 0, we apply division lemma to 106 and 151, to get
151 = 106 x 1 + 45
Step 3: We consider the new divisor 106 and the new remainder 45, and apply the division lemma to get
106 = 45 x 2 + 16
We consider the new divisor 45 and the new remainder 16,and apply the division lemma to get
45 = 16 x 2 + 13
We consider the new divisor 16 and the new remainder 13,and apply the division lemma to get
16 = 13 x 1 + 3
We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get
13 = 3 x 4 + 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 151 and 8411 is 1
Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(16,13) = HCF(45,16) = HCF(106,45) = HCF(151,106) = HCF(8411,151) .
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Frequently Asked Questions on HCF of 151, 8411 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 151, 8411?
Answer: HCF of 151, 8411 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 151, 8411 using Euclid's Algorithm?
Answer: For arbitrary numbers 151, 8411 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.