Highest Common Factor of 9885, 9009 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 9885, 9009 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 9885, 9009 is 3 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 9885, 9009 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 9885, 9009 is 3.
HCF(9885, 9009) = 3
HCF of 9885, 9009 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9885, 9009 is 3.
Highest Common Factor of 9885,9009 is 3
Step 1: Since 9885 > 9009, we apply the division lemma to 9885 and 9009, to get
9885 = 9009 x 1 + 876
Step 2: Since the reminder 9009 ≠ 0, we apply division lemma to 876 and 9009, to get
9009 = 876 x 10 + 249
Step 3: We consider the new divisor 876 and the new remainder 249, and apply the division lemma to get
876 = 249 x 3 + 129
We consider the new divisor 249 and the new remainder 129,and apply the division lemma to get
249 = 129 x 1 + 120
We consider the new divisor 129 and the new remainder 120,and apply the division lemma to get
129 = 120 x 1 + 9
We consider the new divisor 120 and the new remainder 9,and apply the division lemma to get
120 = 9 x 13 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 9885 and 9009 is 3
Notice that 3 = HCF(9,3) = HCF(120,9) = HCF(129,120) = HCF(249,129) = HCF(876,249) = HCF(9009,876) = HCF(9885,9009) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9885, 9009 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 9885, 9009?
Answer: HCF of 9885, 9009 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9885, 9009 using Euclid's Algorithm?
Answer: For arbitrary numbers 9885, 9009 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.