Highest Common Factor of 490, 16467 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 490, 16467 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 490, 16467 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 490, 16467 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 490, 16467 is 1.
HCF(490, 16467) = 1
HCF of 490, 16467 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 490, 16467 is 1.
Highest Common Factor of 490,16467 is 1
Step 1: Since 16467 > 490, we apply the division lemma to 16467 and 490, to get
16467 = 490 x 33 + 297
Step 2: Since the reminder 490 ≠ 0, we apply division lemma to 297 and 490, to get
490 = 297 x 1 + 193
Step 3: We consider the new divisor 297 and the new remainder 193, and apply the division lemma to get
297 = 193 x 1 + 104
We consider the new divisor 193 and the new remainder 104,and apply the division lemma to get
193 = 104 x 1 + 89
We consider the new divisor 104 and the new remainder 89,and apply the division lemma to get
104 = 89 x 1 + 15
We consider the new divisor 89 and the new remainder 15,and apply the division lemma to get
89 = 15 x 5 + 14
We consider the new divisor 15 and the new remainder 14,and apply the division lemma to get
15 = 14 x 1 + 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 490 and 16467 is 1
Notice that 1 = HCF(14,1) = HCF(15,14) = HCF(89,15) = HCF(104,89) = HCF(193,104) = HCF(297,193) = HCF(490,297) = HCF(16467,490) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 490, 16467 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 490, 16467?
Answer: HCF of 490, 16467 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 490, 16467 using Euclid's Algorithm?
Answer: For arbitrary numbers 490, 16467 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.