Highest Common Factor of 9605, 9411 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 9605, 9411 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9605, 9411 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 9605, 9411 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 9605, 9411 is 1.
HCF(9605, 9411) = 1
HCF of 9605, 9411 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9605, 9411 is 1.
Highest Common Factor of 9605,9411 is 1
Step 1: Since 9605 > 9411, we apply the division lemma to 9605 and 9411, to get
9605 = 9411 x 1 + 194
Step 2: Since the reminder 9411 ≠ 0, we apply division lemma to 194 and 9411, to get
9411 = 194 x 48 + 99
Step 3: We consider the new divisor 194 and the new remainder 99, and apply the division lemma to get
194 = 99 x 1 + 95
We consider the new divisor 99 and the new remainder 95,and apply the division lemma to get
99 = 95 x 1 + 4
We consider the new divisor 95 and the new remainder 4,and apply the division lemma to get
95 = 4 x 23 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9605 and 9411 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(95,4) = HCF(99,95) = HCF(194,99) = HCF(9411,194) = HCF(9605,9411) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9605, 9411 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 9605, 9411?
Answer: HCF of 9605, 9411 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9605, 9411 using Euclid's Algorithm?
Answer: For arbitrary numbers 9605, 9411 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.