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 467, 4142 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 467, 4142 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 467, 4142 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 467, 4142 is 1.
HCF(467, 4142) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 467, 4142 is 1.
Step 1: Since 4142 > 467, we apply the division lemma to 4142 and 467, to get
4142 = 467 x 8 + 406
Step 2: Since the reminder 467 ≠ 0, we apply division lemma to 406 and 467, to get
467 = 406 x 1 + 61
Step 3: We consider the new divisor 406 and the new remainder 61, and apply the division lemma to get
406 = 61 x 6 + 40
We consider the new divisor 61 and the new remainder 40,and apply the division lemma to get
61 = 40 x 1 + 21
We consider the new divisor 40 and the new remainder 21,and apply the division lemma to get
40 = 21 x 1 + 19
We consider the new divisor 21 and the new remainder 19,and apply the division lemma to get
21 = 19 x 1 + 2
We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get
19 = 2 x 9 + 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 467 and 4142 is 1
Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(21,19) = HCF(40,21) = HCF(61,40) = HCF(406,61) = HCF(467,406) = HCF(4142,467) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 467, 4142?
Answer: HCF of 467, 4142 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 467, 4142 using Euclid's Algorithm?
Answer: For arbitrary numbers 467, 4142 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.