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 518, 871, 989 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 518, 871, 989 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 518, 871, 989 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 518, 871, 989 is 1.
HCF(518, 871, 989) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 518, 871, 989 is 1.
Step 1: Since 871 > 518, we apply the division lemma to 871 and 518, to get
871 = 518 x 1 + 353
Step 2: Since the reminder 518 ≠ 0, we apply division lemma to 353 and 518, to get
518 = 353 x 1 + 165
Step 3: We consider the new divisor 353 and the new remainder 165, and apply the division lemma to get
353 = 165 x 2 + 23
We consider the new divisor 165 and the new remainder 23,and apply the division lemma to get
165 = 23 x 7 + 4
We consider the new divisor 23 and the new remainder 4,and apply the division lemma to get
23 = 4 x 5 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 518 and 871 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(23,4) = HCF(165,23) = HCF(353,165) = HCF(518,353) = HCF(871,518) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 989 > 1, we apply the division lemma to 989 and 1, to get
989 = 1 x 989 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 989 is 1
Notice that 1 = HCF(989,1) .
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 518, 871, 989?
Answer: HCF of 518, 871, 989 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 518, 871, 989 using Euclid's Algorithm?
Answer: For arbitrary numbers 518, 871, 989 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.