Highest Common Factor of 470, 18141 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 470, 18141 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 470, 18141 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 470, 18141 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 470, 18141 is 1.
HCF(470, 18141) = 1
HCF of 470, 18141 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 470, 18141 is 1.
Highest Common Factor of 470,18141 is 1
Step 1: Since 18141 > 470, we apply the division lemma to 18141 and 470, to get
18141 = 470 x 38 + 281
Step 2: Since the reminder 470 ≠ 0, we apply division lemma to 281 and 470, to get
470 = 281 x 1 + 189
Step 3: We consider the new divisor 281 and the new remainder 189, and apply the division lemma to get
281 = 189 x 1 + 92
We consider the new divisor 189 and the new remainder 92,and apply the division lemma to get
189 = 92 x 2 + 5
We consider the new divisor 92 and the new remainder 5,and apply the division lemma to get
92 = 5 x 18 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 470 and 18141 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(92,5) = HCF(189,92) = HCF(281,189) = HCF(470,281) = HCF(18141,470) .
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Frequently Asked Questions on HCF of 470, 18141 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 470, 18141?
Answer: HCF of 470, 18141 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 470, 18141 using Euclid's Algorithm?
Answer: For arbitrary numbers 470, 18141 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
