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 486, 8681 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 486, 8681 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 486, 8681 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 486, 8681 is 1.
HCF(486, 8681) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 486, 8681 is 1.
Step 1: Since 8681 > 486, we apply the division lemma to 8681 and 486, to get
8681 = 486 x 17 + 419
Step 2: Since the reminder 486 ≠ 0, we apply division lemma to 419 and 486, to get
486 = 419 x 1 + 67
Step 3: We consider the new divisor 419 and the new remainder 67, and apply the division lemma to get
419 = 67 x 6 + 17
We consider the new divisor 67 and the new remainder 17,and apply the division lemma to get
67 = 17 x 3 + 16
We consider the new divisor 17 and the new remainder 16,and apply the division lemma to get
17 = 16 x 1 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 486 and 8681 is 1
Notice that 1 = HCF(16,1) = HCF(17,16) = HCF(67,17) = HCF(419,67) = HCF(486,419) = HCF(8681,486) .
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 486, 8681?
Answer: HCF of 486, 8681 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 486, 8681 using Euclid's Algorithm?
Answer: For arbitrary numbers 486, 8681 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.