Highest Common Factor of 498, 809 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 498, 809 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 498, 809 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 498, 809 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 498, 809 is 1.
HCF(498, 809) = 1
HCF of 498, 809 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 498, 809 is 1.
Highest Common Factor of 498,809 is 1
Step 1: Since 809 > 498, we apply the division lemma to 809 and 498, to get
809 = 498 x 1 + 311
Step 2: Since the reminder 498 ≠ 0, we apply division lemma to 311 and 498, to get
498 = 311 x 1 + 187
Step 3: We consider the new divisor 311 and the new remainder 187, and apply the division lemma to get
311 = 187 x 1 + 124
We consider the new divisor 187 and the new remainder 124,and apply the division lemma to get
187 = 124 x 1 + 63
We consider the new divisor 124 and the new remainder 63,and apply the division lemma to get
124 = 63 x 1 + 61
We consider the new divisor 63 and the new remainder 61,and apply the division lemma to get
63 = 61 x 1 + 2
We consider the new divisor 61 and the new remainder 2,and apply the division lemma to get
61 = 2 x 30 + 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 498 and 809 is 1
Notice that 1 = HCF(2,1) = HCF(61,2) = HCF(63,61) = HCF(124,63) = HCF(187,124) = HCF(311,187) = HCF(498,311) = HCF(809,498) .
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Frequently Asked Questions on HCF of 498, 809 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 498, 809?
Answer: HCF of 498, 809 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 498, 809 using Euclid's Algorithm?
Answer: For arbitrary numbers 498, 809 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.