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 469, 5898 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 469, 5898 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 469, 5898 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 469, 5898 is 1.
HCF(469, 5898) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 469, 5898 is 1.
Step 1: Since 5898 > 469, we apply the division lemma to 5898 and 469, to get
5898 = 469 x 12 + 270
Step 2: Since the reminder 469 ≠ 0, we apply division lemma to 270 and 469, to get
469 = 270 x 1 + 199
Step 3: We consider the new divisor 270 and the new remainder 199, and apply the division lemma to get
270 = 199 x 1 + 71
We consider the new divisor 199 and the new remainder 71,and apply the division lemma to get
199 = 71 x 2 + 57
We consider the new divisor 71 and the new remainder 57,and apply the division lemma to get
71 = 57 x 1 + 14
We consider the new divisor 57 and the new remainder 14,and apply the division lemma to get
57 = 14 x 4 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 469 and 5898 is 1
Notice that 1 = HCF(14,1) = HCF(57,14) = HCF(71,57) = HCF(199,71) = HCF(270,199) = HCF(469,270) = HCF(5898,469) .
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 469, 5898?
Answer: HCF of 469, 5898 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 469, 5898 using Euclid's Algorithm?
Answer: For arbitrary numbers 469, 5898 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.