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 8698, 8023 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8698, 8023 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 8698, 8023 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 8698, 8023 is 1.
HCF(8698, 8023) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8698, 8023 is 1.
Step 1: Since 8698 > 8023, we apply the division lemma to 8698 and 8023, to get
8698 = 8023 x 1 + 675
Step 2: Since the reminder 8023 ≠ 0, we apply division lemma to 675 and 8023, to get
8023 = 675 x 11 + 598
Step 3: We consider the new divisor 675 and the new remainder 598, and apply the division lemma to get
675 = 598 x 1 + 77
We consider the new divisor 598 and the new remainder 77,and apply the division lemma to get
598 = 77 x 7 + 59
We consider the new divisor 77 and the new remainder 59,and apply the division lemma to get
77 = 59 x 1 + 18
We consider the new divisor 59 and the new remainder 18,and apply the division lemma to get
59 = 18 x 3 + 5
We consider the new divisor 18 and the new remainder 5,and apply the division lemma to get
18 = 5 x 3 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 8698 and 8023 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(59,18) = HCF(77,59) = HCF(598,77) = HCF(675,598) = HCF(8023,675) = HCF(8698,8023) .
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 8698, 8023?
Answer: HCF of 8698, 8023 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8698, 8023 using Euclid's Algorithm?
Answer: For arbitrary numbers 8698, 8023 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.