Highest Common Factor of 8559, 9193 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 8559, 9193 i.e. 317 the largest integer that leaves a remainder zero for all numbers.
HCF of 8559, 9193 is 317 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 8559, 9193 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 8559, 9193 is 317.
HCF(8559, 9193) = 317
HCF of 8559, 9193 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8559, 9193 is 317.
Highest Common Factor of 8559,9193 is 317
Step 1: Since 9193 > 8559, we apply the division lemma to 9193 and 8559, to get
9193 = 8559 x 1 + 634
Step 2: Since the reminder 8559 ≠ 0, we apply division lemma to 634 and 8559, to get
8559 = 634 x 13 + 317
Step 3: We consider the new divisor 634 and the new remainder 317, and apply the division lemma to get
634 = 317 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 317, the HCF of 8559 and 9193 is 317
Notice that 317 = HCF(634,317) = HCF(8559,634) = HCF(9193,8559) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8559, 9193 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 8559, 9193?
Answer: HCF of 8559, 9193 is 317 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8559, 9193 using Euclid's Algorithm?
Answer: For arbitrary numbers 8559, 9193 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.