Highest Common Factor of 510, 985, 499 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 510, 985, 499 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 510, 985, 499 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 510, 985, 499 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 510, 985, 499 is 1.
HCF(510, 985, 499) = 1
HCF of 510, 985, 499 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 510, 985, 499 is 1.
Highest Common Factor of 510,985,499 is 1
Step 1: Since 985 > 510, we apply the division lemma to 985 and 510, to get
985 = 510 x 1 + 475
Step 2: Since the reminder 510 ≠ 0, we apply division lemma to 475 and 510, to get
510 = 475 x 1 + 35
Step 3: We consider the new divisor 475 and the new remainder 35, and apply the division lemma to get
475 = 35 x 13 + 20
We consider the new divisor 35 and the new remainder 20,and apply the division lemma to get
35 = 20 x 1 + 15
We consider the new divisor 20 and the new remainder 15,and apply the division lemma to get
20 = 15 x 1 + 5
We consider the new divisor 15 and the new remainder 5,and apply the division lemma to get
15 = 5 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 510 and 985 is 5
Notice that 5 = HCF(15,5) = HCF(20,15) = HCF(35,20) = HCF(475,35) = HCF(510,475) = HCF(985,510) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 499 > 5, we apply the division lemma to 499 and 5, to get
499 = 5 x 99 + 4
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 4 and 5, to get
5 = 4 x 1 + 1
Step 3: We consider the new divisor 4 and the new remainder 1, and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 499 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(499,5) .
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Frequently Asked Questions on HCF of 510, 985, 499 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 510, 985, 499?
Answer: HCF of 510, 985, 499 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 510, 985, 499 using Euclid's Algorithm?
Answer: For arbitrary numbers 510, 985, 499 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.