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 8623, 6016 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8623, 6016 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 8623, 6016 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 8623, 6016 is 1.
HCF(8623, 6016) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8623, 6016 is 1.
Step 1: Since 8623 > 6016, we apply the division lemma to 8623 and 6016, to get
8623 = 6016 x 1 + 2607
Step 2: Since the reminder 6016 ≠ 0, we apply division lemma to 2607 and 6016, to get
6016 = 2607 x 2 + 802
Step 3: We consider the new divisor 2607 and the new remainder 802, and apply the division lemma to get
2607 = 802 x 3 + 201
We consider the new divisor 802 and the new remainder 201,and apply the division lemma to get
802 = 201 x 3 + 199
We consider the new divisor 201 and the new remainder 199,and apply the division lemma to get
201 = 199 x 1 + 2
We consider the new divisor 199 and the new remainder 2,and apply the division lemma to get
199 = 2 x 99 + 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 8623 and 6016 is 1
Notice that 1 = HCF(2,1) = HCF(199,2) = HCF(201,199) = HCF(802,201) = HCF(2607,802) = HCF(6016,2607) = HCF(8623,6016) .
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 8623, 6016?
Answer: HCF of 8623, 6016 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8623, 6016 using Euclid's Algorithm?
Answer: For arbitrary numbers 8623, 6016 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.