Highest Common Factor of 9585, 557 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 9585, 557 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9585, 557 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 9585, 557 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 9585, 557 is 1.
HCF(9585, 557) = 1
HCF of 9585, 557 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9585, 557 is 1.
Highest Common Factor of 9585,557 is 1
Step 1: Since 9585 > 557, we apply the division lemma to 9585 and 557, to get
9585 = 557 x 17 + 116
Step 2: Since the reminder 557 ≠ 0, we apply division lemma to 116 and 557, to get
557 = 116 x 4 + 93
Step 3: We consider the new divisor 116 and the new remainder 93, and apply the division lemma to get
116 = 93 x 1 + 23
We consider the new divisor 93 and the new remainder 23,and apply the division lemma to get
93 = 23 x 4 + 1
We consider the new divisor 23 and the new remainder 1,and apply the division lemma to get
23 = 1 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9585 and 557 is 1
Notice that 1 = HCF(23,1) = HCF(93,23) = HCF(116,93) = HCF(557,116) = HCF(9585,557) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9585, 557 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 9585, 557?
Answer: HCF of 9585, 557 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9585, 557 using Euclid's Algorithm?
Answer: For arbitrary numbers 9585, 557 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.