Highest Common Factor of 499, 803, 527 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 499, 803, 527 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 499, 803, 527 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 499, 803, 527 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 499, 803, 527 is 1.
HCF(499, 803, 527) = 1
HCF of 499, 803, 527 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 499, 803, 527 is 1.
Highest Common Factor of 499,803,527 is 1
Step 1: Since 803 > 499, we apply the division lemma to 803 and 499, to get
803 = 499 x 1 + 304
Step 2: Since the reminder 499 ≠ 0, we apply division lemma to 304 and 499, to get
499 = 304 x 1 + 195
Step 3: We consider the new divisor 304 and the new remainder 195, and apply the division lemma to get
304 = 195 x 1 + 109
We consider the new divisor 195 and the new remainder 109,and apply the division lemma to get
195 = 109 x 1 + 86
We consider the new divisor 109 and the new remainder 86,and apply the division lemma to get
109 = 86 x 1 + 23
We consider the new divisor 86 and the new remainder 23,and apply the division lemma to get
86 = 23 x 3 + 17
We consider the new divisor 23 and the new remainder 17,and apply the division lemma to get
23 = 17 x 1 + 6
We consider the new divisor 17 and the new remainder 6,and apply the division lemma to get
17 = 6 x 2 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 499 and 803 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(17,6) = HCF(23,17) = HCF(86,23) = HCF(109,86) = HCF(195,109) = HCF(304,195) = HCF(499,304) = HCF(803,499) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 527 > 1, we apply the division lemma to 527 and 1, to get
527 = 1 x 527 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 527 is 1
Notice that 1 = HCF(527,1) .
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Frequently Asked Questions on HCF of 499, 803, 527 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 499, 803, 527?
Answer: HCF of 499, 803, 527 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 499, 803, 527 using Euclid's Algorithm?
Answer: For arbitrary numbers 499, 803, 527 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.