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 9663, 4223 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9663, 4223 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 9663, 4223 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 9663, 4223 is 1.
HCF(9663, 4223) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9663, 4223 is 1.
Step 1: Since 9663 > 4223, we apply the division lemma to 9663 and 4223, to get
9663 = 4223 x 2 + 1217
Step 2: Since the reminder 4223 ≠ 0, we apply division lemma to 1217 and 4223, to get
4223 = 1217 x 3 + 572
Step 3: We consider the new divisor 1217 and the new remainder 572, and apply the division lemma to get
1217 = 572 x 2 + 73
We consider the new divisor 572 and the new remainder 73,and apply the division lemma to get
572 = 73 x 7 + 61
We consider the new divisor 73 and the new remainder 61,and apply the division lemma to get
73 = 61 x 1 + 12
We consider the new divisor 61 and the new remainder 12,and apply the division lemma to get
61 = 12 x 5 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9663 and 4223 is 1
Notice that 1 = HCF(12,1) = HCF(61,12) = HCF(73,61) = HCF(572,73) = HCF(1217,572) = HCF(4223,1217) = HCF(9663,4223) .
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 9663, 4223?
Answer: HCF of 9663, 4223 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9663, 4223 using Euclid's Algorithm?
Answer: For arbitrary numbers 9663, 4223 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.